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231325403000040 = 23345371929641333
BaseRepresentation
bin110100100110001110100100…
…011110010010110011101000
31010100001111022001220101020000
4310212032210132102303220
5220310013411132000130
62135553231214503000
766503465063435136
oct6446164436226350
91110044261811200
10231325403000040
11677866093974a8
1221b404b5504a60
139c0cb79680a1b
14411a2d0248756
151bb2488018260
hexd263a4792ce8

231325403000040 has 160 divisors (see below), whose sum is σ = 798524176835880. Its totient is φ = 60019563990528.

The previous prime is 231325403000033. The next prime is 231325403000063. The reversal of 231325403000040 is 40000304523132.

231325403000040 is a `hidden beast` number, since 2 + 31 + 325 + 4 + 0 + 300 + 0 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 231159609076356 + 165793923684 = 15203934^2 + 407178^2 .

It is a super-2 number, since 2×2313254030000402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 231325402999968 and 231325403000013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 964700787 + ... + 964940546.

Almost surely, 2231325403000040 is an apocalyptic number.

231325403000040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231325403000040 is an abundant number, since it is smaller than the sum of its proper divisors (567198773835840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231325403000040 is a wasteful number, since it uses less digits than its factorization.

231325403000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929641393 (or 1929641380 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 231325403000040 its reverse (40000304523132), we get a palindrome (271325707523172).

The spelling of 231325403000040 in words is "two hundred thirty-one trillion, three hundred twenty-five billion, four hundred three million, forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 81 90 108 111 120 135 148 162 180 185 216 222 270 296 324 333 360 370 405 444 540 555 648 666 740 810 888 999 1080 1110 1332 1480 1620 1665 1998 2220 2664 2997 3240 3330 3996 4440 4995 5994 6660 7992 9990 11988 13320 14985 19980 23976 29970 39960 59940 119880 1929641333 3859282666 5788923999 7718565332 9648206665 11577847998 15437130664 17366771997 19296413330 23155695996 28944619995 34733543994 38592826660 46311391992 52100315991 57889239990 69467087988 71396729321 77185653320 86833859985 104200631982 115778479980 138934175976 142793458642 156300947973 173667719970 208401263964 214190187963 231556959960 260501579955 285586917284 312601895946 347335439940 356983646605 416802527928 428380375926 521003159910 571173834568 625203791892 642570563889 694670879880 713967293210 781504739865 856760751852 1042006319820 1070950939815 1250407583784 1285141127778 1427934586420 1563009479730 1713521503704 1927711691667 2084012639640 2141901879630 2570282255556 2855869172840 3126018959460 3212852819445 3855423383334 4283803759260 5140564511112 5783135075001 6252037918920 6425705638890 7710846766668 8567607518520 9638558458335 11566270150002 12851411277780 15421693533336 19277116916670 23132540300004 25702822555560 28915675375005 38554233833340 46265080600008 57831350750010 77108467666680 115662701500020 231325403000040