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12141556234056 = 233537168801527
BaseRepresentation
bin1011000010101110110100…
…1001010111011101001000
31120222201110221002212100000
42300223231021113131020
53042411401343442211
641453430503243000
72362125040110234
oct260535511273510
946881427085300
1012141556234056
113961228a67697
121441146749460
136a0c36802922
142dd923b8b5c4
15160c6a598656
hexb0aed257748

12141556234056 has 96 divisors (see below), whose sum is σ = 35022941029440. Its totient is φ = 3937801998528.

The previous prime is 12141556233943. The next prime is 12141556234069. The reversal of 12141556234056 is 65043265514121.

12141556234056 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 1 + 5 + 562 + 34 + 0 + 56 = 666.

12141556234056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121415562340562 (a number of 27 digits) contains 22 as substring.

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, 84328836 + ... + 84472691.

It is an arithmetic number, because the mean of its divisors is an integer number (364822302390).

Almost surely, 212141556234056 is an apocalyptic number.

It is an amenable number.

12141556234056 is an abundant number, since it is smaller than the sum of its proper divisors (22881384795384).

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

12141556234056 is a wasteful number, since it uses less digits than its factorization.

12141556234056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168801585 (or 168801569 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 12141556234056 in words is "twelve trillion, one hundred forty-one billion, five hundred fifty-six million, two hundred thirty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 243 296 324 333 444 486 648 666 888 972 999 1332 1944 1998 2664 2997 3996 5994 7992 8991 11988 17982 23976 35964 71928 168801527 337603054 506404581 675206108 1012809162 1350412216 1519213743 2025618324 3038427486 4051236648 4557641229 6076854972 6245656499 9115282458 12153709944 12491312998 13672923687 18230564916 18736969497 24982625996 27345847374 36461129832 37473938994 41018771061 49965251992 54691694748 56210908491 74947877988 82037542122 109383389496 112421816982 149895755976 164075084244 168632725473 224843633964 328150168488 337265450946 449687267928 505898176419 674530901892 1011796352838 1349061803784 1517694529257 2023592705676 3035389058514 4047185411352 6070778117028 12141556234056