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331142434030025 = 52192293761955243
BaseRepresentation
bin100101101001011000001101…
…1001001101000000111001001
31121102110220111120211012001122
41023102300123021220013021
5321400414201102430100
63132140422321325025
7126515152133203142
oct11322603311500711
91542426446735048
10331142434030025
119656a799165372
1231181757196775
13112a079ca43927
145bab544c14ac9
152843b94619985
hex12d2c1b2681c9

331142434030025 has 144 divisors (see below), whose sum is σ = 461177729611200. Its totient is φ = 235382679544320.

The previous prime is 331142434030007. The next prime is 331142434030061. The reversal of 331142434030025 is 520030434241133.

It is not a de Polignac number, because 331142434030025 - 26 = 331142434029961 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5994260054 + ... + 5994315296.

It is an arithmetic number, because the mean of its divisors is an integer number (3202623122300).

Almost surely, 2331142434030025 is an apocalyptic number.

It is an amenable number.

331142434030025 is a deficient number, since it is larger than the sum of its proper divisors (130035295581175).

331142434030025 is a wasteful number, since it uses less digits than its factorization.

331142434030025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55976 (or 55952 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 331142434030025 its reverse (520030434241133), we get a palindrome (851172868271158).

The spelling of 331142434030025 in words is "three hundred thirty-one trillion, one hundred forty-two billion, four hundred thirty-four million, thirty thousand, twenty-five".

Divisors: 1 5 19 25 29 37 95 145 185 361 475 551 619 703 725 925 1073 1805 2755 3095 3515 5365 9025 10469 11761 13357 13775 15475 17575 17951 20387 22903 26825 52345 55243 58805 66785 89755 101935 114515 223459 261725 276215 294025 333925 341069 387353 435157 448775 509675 572575 664187 1049617 1117295 1381075 1602047 1705345 1936765 2043991 2175785 3320935 5248085 5586475 6480311 8010235 8267983 8526725 9683825 10219955 10878925 12619553 16604675 19942723 26240425 30438893 32401555 34195417 38835829 40051175 41339915 51099775 59275739 63097765 99713615 152194465 162007775 170977085 194179145 206699575 239771507 296378695 315488825 498568075 578338967 649712923 737880751 760972325 854885425 970895725 991667093 1126239041 1198857535 1265230429 1481893475 2891694835 3248564615 3689403755 4958335465 5631195205 5994287675 6326152145 12344545537 14458474175 16242823075 18447018775 18841674767 21398541779 24039378151 24791677325 28155976025 31630760725 36691682441 61722727685 94208373835 106992708895 120196890755 183458412205 308613638425 357991820573 456748184869 471041869175 534963544475 600984453775 697141966379 917292061025 1789959102865 2283740924345 3485709831895 8949795514325 11418704621725 13245697361201 17428549159475 66228486806005 331142434030025