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115431344736 = 2536803176747
BaseRepresentation
bin110101110000000111…
…1101000101001100000
3102000221121102212200020
41223200033220221200
53342400411012421
6125010050153440
711224332145521
oct1534017505140
9360847385606
10115431344736
1144a54a91874
121a455882880
13ab67823166
145830688848
153008d54dc6
hex1ae03e8a60

115431344736 has 48 divisors (see below), whose sum is σ = 303053534784. Its totient is φ = 38471241344.

The previous prime is 115431344729. The next prime is 115431344759. The reversal of 115431344736 is 637443134511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1154313447362 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 564715 + ... + 741461.

It is an arithmetic number, because the mean of its divisors is an integer number (6313615308).

Almost surely, 2115431344736 is an apocalyptic number.

115431344736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

115431344736 is an abundant number, since it is smaller than the sum of its proper divisors (187622190048).

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

115431344736 is a wasteful number, since it uses less digits than its factorization.

115431344736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183563 (or 183555 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The spelling of 115431344736 in words is "one hundred fifteen billion, four hundred thirty-one million, three hundred forty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 6803 13606 20409 27212 40818 54424 81636 108848 163272 176747 217696 326544 353494 530241 653088 706988 1060482 1413976 2120964 2827952 4241928 5655904 8483856 16967712 1202409841 2404819682 3607229523 4809639364 7214459046 9619278728 14428918092 19238557456 28857836184 38477114912 57715672368 115431344736