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331040062136 = 23711369175707
BaseRepresentation
bin1001101000100111000…
…01100111101010111000
31011122110202021120011002
410310103201213222320
520410432223442021
6412024441224132
732626324046330
oct4642341475270
91148422246132
10331040062136
11118436537413
12541a8792048
13252a8819a94
14120457660c0
15892777e50b
hex4d13867ab8

331040062136 has 64 divisors (see below), whose sum is σ = 716694324480. Its totient is φ = 140413432320.

The previous prime is 331040062109. The next prime is 331040062141. The reversal of 331040062136 is 631260040133.

It is a junction number, because it is equal to n+sod(n) for n = 331040062099 and 331040062108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4334795 + ... + 4410501.

It is an arithmetic number, because the mean of its divisors is an integer number (11198348820).

Almost surely, 2331040062136 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 331040062136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358347162240).

331040062136 is an abundant number, since it is smaller than the sum of its proper divisors (385654262344).

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

331040062136 is a wasteful number, since it uses less digits than its factorization.

331040062136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76524 (or 76520 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The spelling of 331040062136 in words is "three hundred thirty-one billion, forty million, sixty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 56 113 226 452 691 791 904 1382 1582 2764 3164 4837 5528 6328 9674 19348 38696 75707 78083 151414 156166 302828 312332 529949 546581 605656 624664 1059898 1093162 2119796 2186324 4239592 4372648 8554891 17109782 34219564 52313537 59884237 68439128 104627074 119768474 209254148 239536948 366194759 418508296 479073896 732389518 1464779036 2929558072 5911429681 11822859362 23645718724 41380007767 47291437448 82760015534 165520031068 331040062136