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130337485293240 = 23335446512702803
BaseRepresentation
bin11101101000101010001111…
…100000110000011010111000
3122002111010211110010111212000
4131220222033200300122320
5114040422132213340430
61141112114131021000
736311400250314261
oct3550521740603270
9562433743114760
10130337485293240
11385908a9614115
121275034013a760
135795a06487b84
14242852190d968
15101059caaae60
hex768a8f8306b8

130337485293240 has 128 divisors (see below), whose sum is σ = 434468175148800. Its totient is φ = 34755871478400.

The previous prime is 130337485293199. The next prime is 130337485293269. The reversal of 130337485293240 is 42392584733031.

130337485293240 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 3 + 7 + 48 + 529 + 32 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 46871679 + ... + 49574481.

It is an arithmetic number, because the mean of its divisors is an integer number (3394282618350).

Almost surely, 2130337485293240 is an apocalyptic number.

130337485293240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130337485293240 is an abundant number, since it is smaller than the sum of its proper divisors (304130689855560).

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

130337485293240 is a wasteful number, since it uses less digits than its factorization.

130337485293240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747474 (or 2747464 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 130337485293240 in words is "one hundred thirty trillion, three hundred thirty-seven billion, four hundred eighty-five million, two hundred ninety-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 44651 89302 133953 178604 223255 267906 357208 401859 446510 535812 669765 803718 893020 1071624 1205577 1339530 1607436 1786040 2009295 2411154 2679060 2702803 3214872 4018590 4822308 5358120 5405606 6027885 8037180 8108409 9644616 10811212 12055770 13514015 16074360 16216818 21622424 24111540 24325227 27028030 32433636 40542045 48223080 48650454 54056060 64867272 72975681 81084090 97300908 108112120 121626135 145951362 162168180 194601816 243252270 291902724 324336360 364878405 486504540 583805448 729756810 973009080 1459513620 2919027240 120682856753 241365713506 362048570259 482731427012 603414283765 724097140518 965462854024 1086145710777 1206828567530 1448194281036 1810242851295 2172291421554 2413657135060 2896388562072 3258437132331 3620485702590 4344582843108 4827314270120 5430728553885 6516874264662 7240971405180 8689165686216 10861457107770 13033748529324 14481942810360 16292185661655 21722914215540 26067497058648 32584371323310 43445828431080 65168742646620 130337485293240