Search a number
-
+
125455362431014 = 271131401589711113
BaseRepresentation
bin11100100001100111011010…
…010100000001100000100110
3121110012102012220122102102101
4130201213122110001200212
5112420430040240243024
61122453221534402314
735265564555560620
oct3441473224014046
9543172186572371
10125455362431014
1136a79358528990
12120a210b06039a
13550050b846c95
1422da101591c10
15e785adcadc44
hex7219da501826

125455362431014 has 128 divisors (see below), whose sum is σ = 242853115797504. Its totient is φ = 47171773440000.

The previous prime is 125455362431011. The next prime is 125455362431051. The reversal of 125455362431014 is 410134263554521.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125455362431011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11289057922 + ... + 11289069034.

It is an arithmetic number, because the mean of its divisors is an integer number (1897289967168).

Almost surely, 2125455362431014 is an apocalyptic number.

125455362431014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

125455362431014 is a deficient number, since it is larger than the sum of its proper divisors (117397753366490).

125455362431014 is a wasteful number, since it uses less digits than its factorization.

125455362431014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17462.

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 125455362431014 in words is "one hundred twenty-five trillion, four hundred fifty-five billion, three hundred sixty-two million, four hundred thirty-one thousand, fourteen".

Divisors: 1 2 7 11 14 22 31 62 77 154 217 341 401 434 682 802 2387 2807 4411 4774 5614 5897 8822 11113 11794 12431 22226 24862 30877 41279 61754 64867 77791 82558 87017 122243 129734 136741 155582 174034 182807 244486 273482 344503 365614 454069 689006 855701 908138 957187 1279649 1711402 1914374 2010877 2364697 2411521 2559298 3789533 4021754 4456313 4729394 4823042 7579066 8912626 14076139 16552879 26011667 26526731 28152278 31194191 33105758 49019443 52023334 53053462 62388382 65533361 73305607 98038886 131066722 138145703 146611214 182081669 276291406 343136101 364163338 458733527 513139249 686272202 720866971 806361677 917467054 967019921 1026278498 1441733942 1519602733 1612723354 1934039842 2031534191 3039205466 4063068382 5046068797 5644531739 10092137594 10637219131 11289063478 14220739337 21274438262 22346876101 26278877761 28441478674 44693752202 52557755522 156428132707 183952144327 289067655371 312856265414 367904288654 578135310742 814645210591 1629290421182 2023473587597 4046947175194 5702516474137 8961097316501 11405032948274 17922194633002 62727681215507 125455362431014