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12142501135434 = 23231191791914387
BaseRepresentation
bin1011000010110010010101…
…1101111000010001001010
31120222210220210002211100100
42300230211131320101022
53042420320242313214
641454104335550230
72362160332456605
oct260544535702112
946883823084310
1012142501135434
11396167337801a
12144136b08b376
136a10574baa77
142dd9b347533c
15160cc34e4309
hexb0b2577844a

12142501135434 has 96 divisors (see below), whose sum is σ = 27304952463360. Its totient is φ = 3895665501600.

The previous prime is 12142501135433. The next prime is 12142501135459. The reversal of 12142501135434 is 43453110524121.

12142501135434 is a `hidden beast` number, since 1 + 2 + 1 + 42 + 50 + 1 + 135 + 434 = 666.

It is not an unprimeable number, because it can be changed into a prime (12142501135433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843983989 + ... + 843998375.

It is an arithmetic number, because the mean of its divisors is an integer number (284426588160).

Almost surely, 212142501135434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12142501135434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13652476231680).

12142501135434 is an abundant number, since it is smaller than the sum of its proper divisors (15162451327926).

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

12142501135434 is a wasteful number, since it uses less digits than its factorization.

12142501135434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22536 (or 22533 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 12142501135434 its reverse (43453110524121), we get a palindrome (55595611659555).

The spelling of 12142501135434 in words is "twelve trillion, one hundred forty-two billion, five hundred one million, one hundred thirty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 62 93 186 191 279 382 558 573 1146 1719 3438 5921 7919 11842 14387 15838 17763 23757 28774 35526 43161 47514 53289 71271 86322 106578 129483 142542 245489 258966 445997 490978 736467 891994 1337991 1472934 1512529 2209401 2675982 2747917 3025058 4013973 4418802 4537587 5495834 8027946 8243751 9075174 13612761 16487502 24731253 27225522 46888399 49462506 85185427 93776798 113930653 140665197 170370854 227861306 255556281 281330394 341791959 421995591 511112562 683583918 766668843 843991182 1025375877 1533337686 2050751754 3531850243 7063700486 10595550729 21191101458 21760754723 31786652187 43521509446 63573304374 65282264169 130564528338 195846792507 391693585014 674583396413 1349166792826 2023750189239 4047500378478 6071250567717 12142501135434