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31417107720 = 23351741375623
BaseRepresentation
bin11101010000100110…
…110000010100001000
310000002111211102201020
4131100212300110020
51003320234421340
622233253352440
72161355003145
oct352046602410
9100074742636
1031417107720
1112362158039
126109638720
132c68b5368b
1417407313cc
15c3d24c9d0
hex7509b0508

31417107720 has 128 divisors (see below), whose sum is σ = 102229827840. Its totient is φ = 7692738560.

The previous prime is 31417107719. The next prime is 31417107731. The reversal of 31417107720 is 2770171413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104172 + ... + 271451.

It is an arithmetic number, because the mean of its divisors is an integer number (798670530).

Almost surely, 231417107720 is an apocalyptic number.

31417107720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31417107720 is an abundant number, since it is smaller than the sum of its proper divisors (70812720120).

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

31417107720 is a wasteful number, since it uses less digits than its factorization.

31417107720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375695 (or 375691 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 33.

The spelling of 31417107720 in words is "thirty-one billion, four hundred seventeen million, one hundred seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 41 51 60 68 82 85 102 120 123 136 164 170 204 205 246 255 328 340 408 410 492 510 615 680 697 820 984 1020 1230 1394 1640 2040 2091 2460 2788 3485 4182 4920 5576 6970 8364 10455 13940 16728 20910 27880 41820 83640 375623 751246 1126869 1502492 1878115 2253738 3004984 3756230 4507476 5634345 6385591 7512460 9014952 11268690 12771182 15024920 15400543 19156773 22537380 25542364 30801086 31927955 38313546 45074760 46201629 51084728 61602172 63855910 76627092 77002715 92403258 95783865 123204344 127711820 153254184 154005430 184806516 191567730 231008145 255423640 261809231 308010860 369613032 383135460 462016290 523618462 616021720 766270920 785427693 924032580 1047236924 1309046155 1570855386 1848065160 2094473848 2618092310 3141710772 3927138465 5236184620 6283421544 7854276930 10472369240 15708553860 31417107720