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3432232213332 = 22313312415129387
BaseRepresentation
bin110001111100100000111…
…110110101101101010100
3110011010012011102201211220
4301330200332311231110
5422213202421311312
611144425023530340
7502653625310406
oct61744076655524
913133164381756
103432232213332
11110366867400a
124752337599b0
131bb872b33210
14bc199b68b76
155e430be7c8c
hex31f20fb5b54

3432232213332 has 96 divisors (see below), whose sum is σ = 8903467474944. Its totient is φ = 1021927536000.

The previous prime is 3432232213331. The next prime is 3432232213337. The reversal of 3432232213332 is 2333122322343.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3432232213293 and 3432232213302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3432232213331) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 116779543 + ... + 116808929.

It is an arithmetic number, because the mean of its divisors is an integer number (92744452864).

Almost surely, 23432232213332 is an apocalyptic number.

It is an amenable number.

3432232213332 is an abundant number, since it is smaller than the sum of its proper divisors (5471235261612).

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

3432232213332 is a wasteful number, since it uses less digits than its factorization.

3432232213332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53589 (or 53587 counting only the distinct ones).

The product of its digits is 93312, while the sum is 33.

Adding to 3432232213332 its reverse (2333122322343), we get a palindrome (5765354535675).

The spelling of 3432232213332 in words is "three trillion, four hundred thirty-two billion, two hundred thirty-two million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1209 1612 2418 4836 24151 29387 48302 58774 72453 88161 96604 117548 144906 176322 289812 313963 352644 382031 627926 748681 764062 910997 941889 1146093 1255852 1497362 1528124 1821994 1883778 2246043 2292186 2732991 2994724 3643988 3767556 4492086 4584372 5465982 8984172 9732853 10931964 11842961 19465706 23685922 29198559 35528883 38931412 47371844 58397118 71057766 116794236 142115532 709725437 1419450874 2129176311 2838901748 4258352622 8516705244 9226430681 18452861362 22001488547 27679292043 36905722724 44002977094 55358584086 66004465641 88005954188 110717168172 132008931282 264017862564 286019351111 572038702222 858058053333 1144077404444 1716116106666 3432232213332