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131570307442440 = 2334541990441941
BaseRepresentation
bin11101111010100110011001…
…011100000010011100001000
3122020211222221221111120010000
4131322212121130002130020
5114221121442201124230
61143454322000123000
736466432604554356
oct3572463134023410
9566758857446100
10131570307442440
1138a1672157a749
121290b259906460
135855046a1b629
14246c0731d07d6
1510326a4032b60
hex77a999702708

131570307442440 has 160 divisors (see below), whose sum is σ = 453008335431960. Its totient is φ = 34229673446400.

The previous prime is 131570307442393. The next prime is 131570307442447. The reversal of 131570307442440 is 44244703075131.

131570307442440 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 70 + 30 + 74 + 42 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66581977009284 + 64988330433156 = 8159778^2 + 8061534^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (131570307442447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 495088131 + ... + 495353810.

Almost surely, 2131570307442440 is an apocalyptic number.

131570307442440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131570307442440 is an abundant number, since it is smaller than the sum of its proper divisors (321438027989520).

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

131570307442440 is a wasteful number, since it uses less digits than its factorization.

131570307442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990442005 (or 990441992 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 131570307442440 in words is "one hundred thirty-one trillion, five hundred seventy billion, three hundred seven million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 81 82 90 108 120 123 135 162 164 180 205 216 246 270 324 328 360 369 405 410 492 540 615 648 738 810 820 984 1080 1107 1230 1476 1620 1640 1845 2214 2460 2952 3240 3321 3690 4428 4920 5535 6642 7380 8856 11070 13284 14760 16605 22140 26568 33210 44280 66420 132840 990441941 1980883882 2971325823 3961767764 4952209705 5942651646 7923535528 8913977469 9904419410 11885303292 14856629115 17827954938 19808838820 23770606584 26741932407 29713258230 35655909876 39617677640 40608119581 44569887345 53483864814 59426516460 71311819752 80225797221 81216239162 89139774690 106967729628 118853032920 121824358743 133709662035 160451594442 162432478324 178279549380 203040597905 213935459256 243648717486 267419324070 320903188884 324864956648 356559098760 365473076229 401128986105 406081195810 487297434972 534838648140 609121793715 641806377768 730946152458 802257972210 812162391620 974594869944 1069677296280 1096419228687 1218243587430 1461892304916 1604515944420 1624324783240 1827365381145 2192838457374 2436487174860 2923784609832 3209031888840 3289257686061 3654730762290 4385676914748 4872974349720 5482096143435 6578515372122 7309461524580 8771353829496 10964192286870 13157030744244 14618923049160 16446288430305 21928384573740 26314061488488 32892576860610 43856769147480 65785153721220 131570307442440