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31770436140 = 22335401914639
BaseRepresentation
bin11101100101101010…
…100110001000101100
310001000010200101012000
4131211222212020230
51010031212424030
622332314412300
72203205152152
oct354552461054
9101003611160
1031770436140
11125236459a3
1261a7a31090
132cc4103851
1417756273d2
15c5e292860
hex765aa622c

31770436140 has 96 divisors (see below), whose sum is σ = 98872704000. Its totient is φ = 8469429696.

The previous prime is 31770436127. The next prime is 31770436189. The reversal of 31770436140 is 4163407713.

31770436140 is a `hidden beast` number, since 3 + 17 + 70 + 436 + 140 = 666.

It is a super-2 number, since 2×317704361402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31770436095 and 31770436104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2162941 + ... + 2177579.

It is an arithmetic number, because the mean of its divisors is an integer number (1029924000).

Almost surely, 231770436140 is an apocalyptic number.

31770436140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31770436140 is an abundant number, since it is smaller than the sum of its proper divisors (67102267860).

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

31770436140 is a wasteful number, since it uses less digits than its factorization.

31770436140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18676 (or 18668 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 31770436140 in words is "thirty-one billion, seven hundred seventy million, four hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 4019 8038 12057 14639 16076 20095 24114 29278 36171 40190 43917 48228 58556 60285 72342 73195 80380 87834 108513 120570 131751 144684 146390 175668 180855 217026 219585 241140 263502 292780 361710 395253 434052 439170 527004 542565 658755 723420 790506 878340 1085130 1317510 1581012 1976265 2170260 2635020 3952530 7905060 58834141 117668282 176502423 235336564 294170705 353004846 529507269 588341410 706009692 882512115 1059014538 1176682820 1588521807 1765024230 2118029076 2647536345 3177043614 3530048460 5295072690 6354087228 7942609035 10590145380 15885218070 31770436140