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125155412104014 = 234173113109111829
BaseRepresentation
bin11100011101010000000011…
…111000010101001101001110
3121102010201222212012001020000
4130131100003320111031032
5112401021240444312024
61122103334054105130
735235115533061425
oct3435200370251516
9542121885161200
10125155412104014
1136973126379756
1212053b5a34b1a6
1354ab1490ba9a6
1422c97a8ca02bc
15e708a5b62cc9
hex71d403e1534e

125155412104014 has 160 divisors (see below), whose sum is σ = 306542097734400. Its totient is φ = 37994609710080.

The previous prime is 125155412103973. The next prime is 125155412104033. The reversal of 125155412104014 is 410401214551521.

125155412104014 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 5 + 541 + 2 + 104 + 0 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 125155412104014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1119111852 + ... + 1119223680.

It is an arithmetic number, because the mean of its divisors is an integer number (1915888110840).

Almost surely, 2125155412104014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125155412104014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153271048867200).

125155412104014 is an abundant number, since it is smaller than the sum of its proper divisors (181386685630386).

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

125155412104014 is a wasteful number, since it uses less digits than its factorization.

125155412104014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125000 (or 124991 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

Adding to 125155412104014 its reverse (410401214551521), we get a palindrome (535556626655535).

The spelling of 125155412104014 in words is "one hundred twenty-five trillion, one hundred fifty-five billion, four hundred twelve million, one hundred four thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 81 93 102 153 162 186 279 306 459 527 558 837 918 1054 1377 1581 1674 2511 2754 3162 4743 5022 9486 13109 14229 26218 28458 39327 42687 78654 85374 111829 117981 222853 223658 235962 335487 353943 406379 445706 668559 670974 707886 812758 1006461 1061829 1219137 1337118 1901093 2005677 2012922 2123658 2438274 3019383 3466699 3657411 3802186 4011354 5703279 6017031 6038766 6908443 6933398 7314822 9058149 10400097 10972233 11406558 12034062 13816886 17109837 18051093 18116298 20725329 20800194 21944466 31200291 32916699 34219674 36102186 41450658 51329511 58933883 62175987 62400582 65833398 93600873 102659022 117867766 124351974 153988533 176801649 186527961 187201746 280802619 307977066 353603298 373055922 530404947 559583883 561605238 1060809894 1119167766 1465966361 1591214841 2931932722 3182429682 4397899083 4773644523 8795798166 9547289046 13193697249 24921428137 26387394498 39581091747 45444957191 49842856274 74764284411 79162183494 90889914382 118743275241 136334871573 149528568822 224292853233 237486550482 272669743146 409004614719 448585706466 672878559699 772564272247 818009229438 1227013844157 1345757119398 1545128544494 2018635679097 2317692816741 2454027688314 3681041532471 4037271358194 4635385633482 6953078450223 7362083064942 13906156900446 20859235350669 41718470701338 62577706052007 125155412104014