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131345532220040 = 235353397116320147
BaseRepresentation
bin11101110111010101000011…
…110010100111001010001000
3122020001111202222021011200222
4131313111003302213022020
5114203431122222020130
61143203145435045212
736444254505651305
oct3567250362471210
9566044688234628
10131345532220040
113893a366849236
1212893788ba0808
135839aa4917158
14246122c9580ac
15102b8ea9dbce5
hex777543ca7288

131345532220040 has 128 divisors (see below), whose sum is σ = 297381375596160. Its totient is φ = 52209891385344.

The previous prime is 131345532220031. The next prime is 131345532220057. The reversal of 131345532220040 is 40022235543131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6519349247 + ... + 6519369393.

It is an arithmetic number, because the mean of its divisors is an integer number (2323291996845).

Almost surely, 2131345532220040 is an apocalyptic number.

131345532220040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131345532220040 is an abundant number, since it is smaller than the sum of its proper divisors (166035843376120).

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

131345532220040 is a wasteful number, since it uses less digits than its factorization.

131345532220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22071 (or 22067 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 131345532220040 its reverse (40022235543131), we get a palindrome (171367767763171).

The spelling of 131345532220040 in words is "one hundred thirty-one trillion, three hundred forty-five billion, five hundred thirty-two million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 353 397 706 794 1163 1412 1588 1765 1985 2326 2824 3176 3530 3970 4652 5815 7060 7940 9304 11630 14120 15880 20147 23260 40294 46520 80588 100735 140141 161176 201470 280282 402940 410539 461711 560564 700705 805880 821078 923422 1121128 1401410 1642156 1846844 2052695 2308555 2802820 3284312 3693688 4105390 4617110 5605640 7111891 7998359 8210780 9234220 14223782 15996718 16421560 18468440 23430961 28447564 31993436 35559455 39991795 46861922 56895128 63986872 71118910 79983590 93723844 117154805 142237820 159967180 162983983 187447688 234309610 284475640 319934360 325967966 468619220 651935932 814919915 937238440 1303871864 1629839830 2823420727 3259679660 5646841454 6519359320 8271129233 9302091517 11293682908 14117103635 16542258466 18604183034 22587365816 28234207270 33084516932 37208366068 41355646165 46510457585 56468414540 66169033864 74416732136 82711292330 93020915170 112936829080 165422584660 186041830340 330845169320 372083660680 3283638305501 6567276611002 13134553222004 16418191527505 26269106444008 32836383055010 65672766110020 131345532220040