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3432250141164 = 22321371103293913
BaseRepresentation
bin110001111100100010000…
…011001110100111101100
3110011010020102011120012200
4301330202003032213230
5422213222014004124
611144430504101500
7502654233556215
oct61744203164754
913133212146180
103432250141164
1111036777a94a9
12475239764890
131bb87676c3c0
14bc19c2b440c
155e432589bc9
hex31f220ce9ec

3432250141164 has 72 divisors (see below), whose sum is σ = 9474944143392. Its totient is φ = 1041202632960.

The previous prime is 3432250141163. The next prime is 3432250141171. The reversal of 3432250141164 is 4611410522343.

3432250141164 is a `hidden beast` number, since 3 + 4 + 32 + 2 + 501 + 4 + 116 + 4 = 666.

3432250141164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3432250141163) 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, 51613729 + ... + 51680184.

It is an arithmetic number, because the mean of its divisors is an integer number (131596446436).

Almost surely, 23432250141164 is an apocalyptic number.

It is an amenable number.

3432250141164 is an abundant number, since it is smaller than the sum of its proper divisors (6042694002228).

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

3432250141164 is a wasteful number, since it uses less digits than its factorization.

3432250141164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103294007 (or 103294002 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 3432250141164 in words is "three trillion, four hundred thirty-two billion, two hundred fifty million, one hundred forty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 117 142 156 213 234 284 426 468 639 852 923 1278 1846 2556 2769 3692 5538 8307 11076 16614 33228 103293913 206587826 309881739 413175652 619763478 929645217 1239526956 1342820869 1859290434 2685641738 3718580868 4028462607 5371283476 7333867823 8056925214 12085387821 14667735646 16113850428 22001603469 24170775642 29335471292 44003206938 48341551284 66004810407 88006413876 95340281699 132009620814 190680563398 264019241628 286020845097 381361126796 572041690194 858062535291 1144083380388 1716125070582 3432250141164