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114532415244 = 2232132310640321
BaseRepresentation
bin110101010101010101…
…0011111011100001100
3101221121221221112020100
41222222222133130030
53334030244241434
6124340535051100
711163135316032
oct1525252373414
9357557845210
10114532415244
1144633620835
121a244810a90
13aa53512b10
14578712a552
152ea4e8a699
hex1aaaa9f70c

114532415244 has 72 divisors (see below), whose sum is σ = 325338485472. Its totient is φ = 33708533760.

The previous prime is 114532415219. The next prime is 114532415287. The reversal of 114532415244 is 442514235411.

114532415244 is a `hidden beast` number, since 1 + 145 + 324 + 152 + 44 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114532415199 and 114532415208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5309397 + ... + 5330924.

It is an arithmetic number, because the mean of its divisors is an integer number (4518590076).

Almost surely, 2114532415244 is an apocalyptic number.

It is an amenable number.

114532415244 is an abundant number, since it is smaller than the sum of its proper divisors (210806070228).

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

114532415244 is a wasteful number, since it uses less digits than its factorization.

114532415244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10640367 (or 10640362 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The spelling of 114532415244 in words is "one hundred fourteen billion, five hundred thirty-two million, four hundred fifteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2691 3588 5382 10764 10640321 21280642 31920963 42561284 63841926 95762889 127683852 138324173 191525778 244727383 276648346 383051556 414972519 489454766 553296692 734182149 829945038 978909532 1244917557 1468364298 1659890076 2202546447 2489835114 2936728596 3181455979 4405092894 4979670228 6362911958 8810185788 9544367937 12725823916 19088735874 28633103811 38177471748 57266207622 114532415244