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132425040610304 = 2101316937587341
BaseRepresentation
bin11110000111000010011011…
…100000010100010000000000
3122100212201011202202022101222
4132013002123200110100000
5114324122440344012204
61145351120202214212
736615251645611361
oct3607023340242000
9570781152668358
10132425040610304
1139216165124572
1212a28a3a1b4368
1358b782120c660
14249b598729b68
151049a2c4b4abe
hex78709b814400

132425040610304 has 88 divisors (see below), whose sum is σ = 285101212695768. Its totient is φ = 61115536834560.

The previous prime is 132425040610237. The next prime is 132425040610397. The reversal of 132425040610304 is 403016040524231.

It can be written as a sum of positive squares in 4 ways, for example, as 25284323835904 + 107140716774400 = 5028352^2 + 10350880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225171674 + ... + 225759014.

Almost surely, 2132425040610304 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 132425040610304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142550606347884).

132425040610304 is an abundant number, since it is smaller than the sum of its proper divisors (152676172085464).

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

132425040610304 is a wasteful number, since it uses less digits than its factorization.

132425040610304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604311 (or 604293 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 132425040610304 in words is "one hundred thirty-two trillion, four hundred twenty-five billion, forty million, six hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 3328 6656 13312 16937 33874 67748 135496 220181 270992 440362 541984 587341 880724 1083968 1174682 1761448 2167936 2349364 3522896 4335872 4698728 7045792 7635433 8671744 9397456 14091584 15270866 17343488 18794912 28183168 30541732 37589824 56366336 61083464 75179648 112732672 122166928 150359296 225465344 244333856 300718592 488667712 601437184 977335424 1954670848 3909341696 7818683392 9947794517 19895589034 39791178068 79582356136 129321328721 159164712272 258642657442 318329424544 517285314884 636658849088 1034570629768 1273317698176 2069141259536 2546635396352 4138282519072 5093270792704 8276565038144 10186541585408 16553130076288 33106260152576 66212520305152 132425040610304