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114446356552 = 231129273116421
BaseRepresentation
bin110101010010110001…
…0001101000001001000
3101221101222000021220101
41222211202031001020
53333341231402202
6124324222335144
711161041660043
oct1524542150110
9357358007811
10114446356552
1144599a91650
121a21ba2a4b4
13aa3b740b08
145779927c5a
152e9c63b887
hex1aa588d048

114446356552 has 64 divisors (see below), whose sum is σ = 242270481600. Its totient is φ = 50205792000.

The previous prime is 114446356513. The next prime is 114446356571. The reversal of 114446356552 is 255653644411.

114446356552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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, 6961302 + ... + 6977722.

It is an arithmetic number, because the mean of its divisors is an integer number (3785476275).

Almost surely, 2114446356552 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 114446356552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121135240800).

114446356552 is an abundant number, since it is smaller than the sum of its proper divisors (127824125048).

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

114446356552 is a wasteful number, since it uses less digits than its factorization.

114446356552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19198 (or 19194 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 46.

The spelling of 114446356552 in words is "one hundred fourteen billion, four hundred forty-six million, three hundred fifty-six thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 1276 2552 2731 5462 10924 16421 21848 30041 32842 60082 65684 79199 120164 131368 158398 180631 240328 316796 361262 476209 633592 722524 871189 952418 1445048 1742378 1904836 3484756 3809672 5238299 6969512 10476598 20953196 41906392 44845751 89691502 179383004 358766008 493303261 986606522 1300526779 1973213044 2601053558 3946426088 5202107116 10404214232 14305794569 28611589138 57223178276 114446356552