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130683144005740 = 225371229160789417
BaseRepresentation
bin11101101101101100001010…
…011000000110100001101100
3122010201012000222222110100001
4131231230022120012201230
5114112103034331140430
61141535001344514044
736345355064016544
oct3555541230064154
9563635028873301
10130683144005740
1138704456985957
12127a732861b924
1357bc4a180c411
14243b15298c324
15101957d9223ca
hex76db0a60686c

130683144005740 has 96 divisors (see below), whose sum is σ = 282259777403520. Its totient is φ = 50786891679744.

The previous prime is 130683144005737. The next prime is 130683144005773. The reversal of 130683144005740 is 47500441386031.

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, 1461457512 + ... + 1461546928.

It is an arithmetic number, because the mean of its divisors is an integer number (2940206014620).

Almost surely, 2130683144005740 is an apocalyptic number.

130683144005740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130683144005740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141129888701760).

130683144005740 is an abundant number, since it is smaller than the sum of its proper divisors (151576633397780).

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

130683144005740 is a wasteful number, since it uses less digits than its factorization.

130683144005740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92299 (or 92297 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 130683144005740 in words is "one hundred thirty trillion, six hundred eighty-three billion, one hundred forty-four million, five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1229 1607 2458 3214 4916 6145 6428 8035 12290 16070 24580 32140 45473 59459 89417 90946 118918 178834 181892 227365 237836 297295 357668 447085 454730 594590 894170 909460 1189180 1788340 1975003 3308429 3950006 6616858 7900012 9875015 13233716 16542145 19750030 33084290 39500060 66168580 73075111 109893493 143693119 146150222 219786986 287386238 292300444 365375555 439573972 549467465 574772476 718465595 730751110 1098934930 1436931190 1461502220 2197869860 2873862380 4066059241 5316645403 8132118482 10633290806 16264236964 20330296205 21266581612 26583227015 40660592410 53166454030 81321184820 106332908060 176598843251 353197686502 706395373004 882994216255 1765988432510 3531976865020 6534157200287 13068314400574 26136628801148 32670786001435 65341572002870 130683144005740