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120443140223392 = 25717224314101193
BaseRepresentation
bin11011011000101011011010…
…100101101011000110100000
3120210110020210112021211002211
4123120223122211223012200
5111241320022344122032
61104054451553451504
734240505203012210
oct3330533245530640
9523406715254084
10120443140223392
1135416715789998
121161282bb70b94
13522897c5899cc
1421a569c8a8240
15ddd008577747
hex6d8ada96b1a0

120443140223392 has 96 divisors (see below), whose sum is σ = 287066015736192. Its totient is φ = 48560444104704.

The previous prime is 120443140223377. The next prime is 120443140223429. The reversal of 120443140223392 is 293322041344021.

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, 1490748 + ... + 15591940.

It is an arithmetic number, because the mean of its divisors is an integer number (2990270997252).

Almost surely, 2120443140223392 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 120443140223392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143533007868096).

120443140223392 is an abundant number, since it is smaller than the sum of its proper divisors (166622875512800).

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

120443140223392 is a wasteful number, since it uses less digits than its factorization.

120443140223392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14103470 (or 14103462 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 120443140223392 in words is "one hundred twenty trillion, four hundred forty-three billion, one hundred forty million, two hundred twenty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 2243 3808 4486 8972 15701 17944 31402 35888 38131 62804 71776 76262 125608 152524 251216 266917 305048 502432 533834 610096 1067668 1220192 2135336 4270672 8541344 14101193 28202386 56404772 98708351 112809544 197416702 225619088 239720281 394833404 451238176 479440562 789666808 958881124 1579333616 1678041967 1917762248 3158667232 3356083934 3835524496 6712167868 7671048992 13424335736 26848671472 31628975899 53697342944 63257951798 126515903596 221402831293 253031807192 442805662586 506063614384 537692590283 885611325172 1012127228768 1075385180566 1771222650344 2150770361132 3542445300688 3763848131981 4301540722264 7084890601376 7527696263962 8603081444528 15055392527924 17206162889056 30110785055848 60221570111696 120443140223392