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12241402031344 = 2417223532171749
BaseRepresentation
bin1011001000100010110001…
…1010110110110011110000
31121100021012100120220020011
42302020230122312303300
53101030342410000334
642011342241224304
72402261232303163
oct262105432666360
947307170526204
1012241402031344
11399a60534aa32
121458570932094
136aa4893a1555
143046b654bada
15163660ec3564
hexb222c6b6cf0

12241402031344 has 120 divisors (see below), whose sum is σ = 26786433996000. Its totient is φ = 5406227853312.

The previous prime is 12241402031311. The next prime is 12241402031423. The reversal of 12241402031344 is 44313020414221.

It is a happy number.

It is a congruent number.

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, 4550782 + ... + 6722530.

It is an arithmetic number, because the mean of its divisors is an integer number (223220283300).

Almost surely, 212241402031344 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 12241402031344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13393216998000).

12241402031344 is an abundant number, since it is smaller than the sum of its proper divisors (14545031964656).

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

12241402031344 is a wasteful number, since it uses less digits than its factorization.

12241402031344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171867 (or 2171844 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 12241402031344 its reverse (44313020414221), we get a palindrome (56554422445565).

The spelling of 12241402031344 in words is "twelve trillion, two hundred forty-one billion, four hundred two million, thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 23 34 46 53 68 92 106 136 184 212 272 289 368 391 424 578 782 848 901 1156 1219 1564 1802 2312 2438 3128 3604 4624 4876 6256 6647 7208 9752 13294 14416 15317 19504 20723 26588 30634 41446 53176 61268 82892 106352 122536 165784 245072 331568 352291 704582 1409164 2171749 2818328 4343498 5636656 8686996 17373992 34747984 36919733 49950227 73839466 99900454 115102697 147678932 199800908 230205394 295357864 399601816 460410788 590715728 627635461 799203632 849153859 920821576 1255270922 1698307718 1841643152 1956745849 2510541844 2647362031 3396615436 3913491698 5021083688 5294724062 6793230872 7826983396 10042167376 10589448124 13586461744 14435615603 15653966792 21178896248 28871231206 31307933584 33264679433 42357792496 45005154527 57742462412 66529358866 90010309054 115484924824 133058717732 180020618108 230969849648 266117435464 360041236216 532234870928 720082472432 765087626959 1530175253918 3060350507836 6120701015672 12241402031344