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12426231303144 = 2332972237978667
BaseRepresentation
bin1011010011010011010100…
…0110100100101111101000
31121222221021102110201222100
42310310311012210233220
53112042410203200034
642232310514053400
72421523411220001
oct264646506445750
947887242421870
1012426231303144
113a60a3168a52a
12148835387a260
136c1a33698a79
1430d60b8861a8
1516837c65c099
hexb4d351a4be8

12426231303144 has 96 divisors (see below), whose sum is σ = 34153805387520. Its totient is φ = 4080991915008.

The previous prime is 12426231303119. The next prime is 12426231303173. The reversal of 12426231303144 is 44130313262421.

12426231303144 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 623 + 13 + 0 + 3 + 14 + 4 = 666.

12426231303144 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 2×124262313031442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12426231303099 and 12426231303108.

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, 2431902 + ... + 5546765.

It is an arithmetic number, because the mean of its divisors is an integer number (355768806120).

Almost surely, 212426231303144 is an apocalyptic number.

It is an amenable number.

12426231303144 is an abundant number, since it is smaller than the sum of its proper divisors (21727574084376).

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

12426231303144 is a wasteful number, since it uses less digits than its factorization.

12426231303144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7978999 (or 7978992 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 12426231303144 its reverse (44130313262421), we get a palindrome (56556544565565).

The spelling of 12426231303144 in words is "twelve trillion, four hundred twenty-six billion, two hundred thirty-one million, three hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 223 291 388 446 582 669 776 873 892 1164 1338 1746 1784 2007 2328 2676 3492 4014 5352 6984 8028 16056 21631 43262 64893 86524 129786 173048 194679 259572 389358 519144 778716 1557432 7978667 15957334 23936001 31914668 47872002 63829336 71808003 95744004 143616006 191488008 287232012 574464024 773930699 1547861398 1779242741 2321792097 3095722796 3558485482 4643584194 5337728223 6191445592 6965376291 7116970964 9287168388 10675456446 13930752582 14233941928 16013184669 18574336776 21350912892 27861505164 32026369338 42701825784 55723010328 64052738676 128105477352 172586545877 345173091754 517759637631 690346183508 1035519275262 1380692367016 1553278912893 2071038550524 3106557825786 4142077101048 6213115651572 12426231303144