Search a number
-
+
31375752005400 = 23352114753901819
BaseRepresentation
bin1110010001001001111001…
…00011011000011100011000
311010002111022002210210121220
413020210330203120130120
513103030020003133100
6150421453235132040
76415552245445365
oct710447443303430
9133074262723556
1031375752005400
119aa7422052090
1236289b7a44020
13146794a55a10a
147a684744346c
1539624e2acaa0
hex1c893c8d8718

31375752005400 has 96 divisors (see below), whose sum is σ = 106107088622400. Its totient is φ = 7606242908800.

The previous prime is 31375752005333. The next prime is 31375752005401. The reversal of 31375752005400 is 450025757313.

31375752005400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31375752005401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2376944310 + ... + 2376957509.

It is an arithmetic number, because the mean of its divisors is an integer number (1105282173150).

Almost surely, 231375752005400 is an apocalyptic number.

31375752005400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31375752005400 is an abundant number, since it is smaller than the sum of its proper divisors (74731336617000).

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

31375752005400 is a wasteful number, since it uses less digits than its factorization.

31375752005400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4753901849 (or 4753901840 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 42.

The spelling of 31375752005400 in words is "thirty-one trillion, three hundred seventy-five billion, seven hundred fifty-two million, five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 4753901819 9507803638 14261705457 19015607276 23769509095 28523410914 38031214552 47539018190 52292920009 57046821828 71308527285 95078036380 104585840018 114093643656 118847545475 142617054570 156878760027 190156072760 209171680036 237695090950 261464600045 285234109140 313757520054 356542636425 418343360072 475390181900 522929200090 570468218280 627515040108 713085272850 784393800135 950780363800 1045858400180 1255030080216 1307323000225 1426170545700 1568787600270 2091716800360 2614646000450 2852341091400 3137575200540 3921969000675 5229292000900 6275150401080 7843938001350 10458584001800 15687876002700 31375752005400