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114300022032 = 24327529721407
BaseRepresentation
bin110101001110011001…
…1111110110100010000
3101221000202122201200100
41222130303332310100
53333041301201112
6124301514052400
711154314104560
oct1523463766420
9357022581610
10114300022032
1144524423329
121a19aa1a100
13aa17326441
145764314da0
152e8e8832dc
hex1a9ccfed10

114300022032 has 120 divisors (see below), whose sum is σ = 365664738816. Its totient is φ = 32649458688.

The previous prime is 114300022009. The next prime is 114300022043. The reversal of 114300022032 is 230220003411.

114300022032 is a `hidden beast` number, since 11 + 430 + 0 + 0 + 220 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114300021996 and 114300022014.

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, 5328673 + ... + 5350079.

Almost surely, 2114300022032 is an apocalyptic number.

114300022032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114300022032 is an abundant number, since it is smaller than the sum of its proper divisors (251364716784).

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

114300022032 is a wasteful number, since it uses less digits than its factorization.

114300022032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26725 (or 26716 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 114300022032 its reverse (230220003411), we get a palindrome (344520025443).

The spelling of 114300022032 in words is "one hundred fourteen billion, three hundred million, twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 5297 10594 15891 21188 21407 31782 37079 42376 42814 47673 63564 64221 74158 84752 85628 95346 111237 127128 128442 148316 149849 171256 190692 192663 222474 254256 256884 296632 299698 333711 342512 381384 385326 444948 449547 513768 593264 599396 667422 762768 770652 889896 899094 1027536 1198792 1334844 1348641 1541304 1779792 1798188 2397584 2669688 2697282 3082608 3596376 5339376 5394564 7192752 10789128 21578256 113392879 226785758 340178637 453571516 680357274 793750153 907143032 1020535911 1360714548 1587500306 1814286064 2041071822 2381250459 2721429096 3175000612 4082143644 4762500918 5442858192 6350001224 7143751377 8164287288 9525001836 12700002448 14287502754 16328574576 19050003672 28575005508 38100007344 57150011016 114300022032