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150414130368 = 2632261135643
BaseRepresentation
bin1000110000010101100…
…0010111110011000000
3112101020121201111221100
42030011120113303000
54431022004132433
6153033240454400
713603255004265
oct2140530276300
9471217644840
10150414130368
1158876945457
122519947a400
13112512ca608
1473cc79326c
153da5134b13
hex2305617cc0

150414130368 has 42 divisors (see below), whose sum is σ = 431134948244. Its totient is φ = 50138043264.

The previous prime is 150414130343. The next prime is 150414130411. The reversal of 150414130368 is 863031414051.

150414130368 is a `hidden beast` number, since 1 + 50 + 414 + 130 + 3 + 68 = 666.

It is a super-2 number, since 2×1504141303682 (a number of 23 digits) contains 22 as substring.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 130567246 + ... + 130568397.

Almost surely, 2150414130368 is an apocalyptic number.

150414130368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

150414130368 is an abundant number, since it is smaller than the sum of its proper divisors (280720817876).

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

150414130368 is a wasteful number, since it uses less digits than its factorization.

150414130368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261135661 (or 261135648 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 150414130368 in words is "one hundred fifty billion, four hundred fourteen million, one hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 261135643 522271286 783406929 1044542572 1566813858 2089085144 2350220787 3133627716 4178170288 4700441574 6267255432 8356340576 9400883148 12534510864 16712681152 18801766296 25069021728 37603532592 50138043456 75207065184 150414130368