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114361229472 = 2537409416089
BaseRepresentation
bin110101010000001110…
…1011110000010100000
3101221012000211101111120
41222200131132002200
53333202433320342
6124311542012240
711155656261120
oct1524035360240
9357160741446
10114361229472
1144555a29396
121a1b7417080
13aa26c06b69
14576c4c8c80
152e94e23aec
hex1aa075e0a0

114361229472 has 96 divisors (see below), whose sum is σ = 343923350400. Its totient is φ = 32594669568.

The previous prime is 114361229453. The next prime is 114361229519. The reversal of 114361229472 is 274922163411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66804 + ... + 482892.

It is an arithmetic number, because the mean of its divisors is an integer number (3582534900).

Almost surely, 2114361229472 is an apocalyptic number.

114361229472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114361229472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171961675200).

114361229472 is an abundant number, since it is smaller than the sum of its proper divisors (229562120928).

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

114361229472 is a wasteful number, since it uses less digits than its factorization.

114361229472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416518 (or 416510 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The spelling of 114361229472 in words is "one hundred fourteen billion, three hundred sixty-one million, two hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 409 672 818 1227 1636 2454 2863 3272 4908 5726 6544 8589 9816 11452 13088 17178 19632 22904 34356 39264 45808 68712 91616 137424 274848 416089 832178 1248267 1664356 2496534 2912623 3328712 4993068 5825246 6657424 8737869 9986136 11650492 13314848 17475738 19972272 23300984 34951476 39944544 46601968 69902952 93203936 139805904 170180401 279611808 340360802 510541203 680721604 1021082406 1191262807 1361443208 2042164812 2382525614 2722886416 3573788421 4084329624 4765051228 5445772832 7147576842 8168659248 9530102456 14295153684 16337318496 19060204912 28590307368 38120409824 57180614736 114361229472