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231304040032 = 2513412330767
BaseRepresentation
bin1101011101101011001…
…0111000111001100000
3211010000222100200111111
43113122302320321200
512242202313240112
6254132024153104
722465633620562
oct3273262707140
9733028320444
10231304040032
118a10611186a
12389b3308794
1318a729050a0
14b2a37bd332
15603b7da5a7
hex35dacb8e60

231304040032 has 72 divisors (see below), whose sum is σ = 502663498848. Its totient is φ = 104151598080.

The previous prime is 231304040021. The next prime is 231304040141. The reversal of 231304040032 is 230040403132.

It is a happy number.

It is a super-2 number, since 2×2313040400322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231304039985 and 231304040012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 533913 + ... + 864679.

It is an arithmetic number, because the mean of its divisors is an integer number (6981437484).

Almost surely, 2231304040032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231304040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251331749424).

231304040032 is an abundant number, since it is smaller than the sum of its proper divisors (271359458816).

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

231304040032 is a wasteful number, since it uses less digits than its factorization.

231304040032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330872 (or 330823 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 231304040032 its reverse (230040403132), we get a palindrome (461344443164).

The spelling of 231304040032 in words is "two hundred thirty-one billion, three hundred four million, forty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 1066 1312 1681 2132 3362 4264 6724 8528 13448 17056 21853 26896 43706 53792 87412 174824 330767 349648 661534 699296 1323068 2646136 4299971 5292272 8599942 10584544 13561447 17199884 27122894 34399768 54245788 68799536 108491576 137599072 176298811 216983152 352597622 433966304 556019327 705195244 1112038654 1410390488 2224077308 2820780976 4448154616 5641561952 7228251251 8896309232 14456502502 17792618464 28913005004 57826010008 115652020016 231304040032