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120140231044032 = 2633439115833659
BaseRepresentation
bin11011010100010001010011…
…110010110110101111000000
3120202101021221021020011112000
4123110101103302312233000
5111221334143121402112
61103303354334504000
734206562631325213
oct3324212362665700
9522337837204460
10120140231044032
113530a205414131
1211583b94365000
135206237b251c4
142194b6524177a
15dd51ca7b47dc
hex6d4453cb6bc0

120140231044032 has 112 divisors (see below), whose sum is σ = 353270488377600. Its totient is φ = 40037620965120.

The previous prime is 120140231043997. The next prime is 120140231044117. The reversal of 120140231044032 is 230440132041021.

120140231044032 is a `hidden beast` number, since 1 + 20 + 1 + 4 + 0 + 231 + 0 + 4 + 403 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 120140231043987 and 120140231044005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329182 + ... + 15504477.

Almost surely, 2120140231044032 is an apocalyptic number.

120140231044032 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 120140231044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176635244188800).

120140231044032 is an abundant number, since it is smaller than the sum of its proper divisors (233130257333568).

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

120140231044032 is a wasteful number, since it uses less digits than its factorization.

120140231044032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15838071 (or 15838055 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 120140231044032 its reverse (230440132041021), we get a palindrome (350580363085053).

The spelling of 120140231044032 in words is "one hundred twenty trillion, one hundred forty billion, two hundred thirty-one million, forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 4391 8782 13173 17564 26346 35128 39519 52692 70256 79038 105384 118557 140512 158076 210768 237114 281024 316152 421536 474228 632304 843072 948456 1264608 1896912 2529216 3793824 7587648 15833659 31667318 47500977 63334636 95001954 126669272 142502931 190003908 253338544 285005862 380007816 427508793 506677088 570011724 760015632 855017586 1013354176 1140023448 1520031264 1710035172 2280046896 3040062528 3420070344 4560093792 6840140688 9120187584 13680281376 27360562752 69525596669 139051193338 208576790007 278102386676 417153580014 556204773352 625730370021 834307160028 1112409546704 1251460740042 1668614320056 1877191110063 2224819093408 2502921480084 3337228640112 3754382220126 4449638186816 5005842960168 6674457280224 7508764440252 10011685920336 13348914560448 15017528880504 20023371840672 30035057761008 40046743681344 60070115522016 120140231044032