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137054310100240 = 24513240707547483
BaseRepresentation
bin11111001010011001110001…
…011101111110110100010000
3122222021021010112000012210011
4133022121301131332310100
5120430444211341201430
61203253514133244304
740603563366205441
oct3712316135766420
9588237115005704
10137054310100240
113a740452064735
1213456063193694
135b622208980b0
1425bb66d31b2c8
1510ca16cc1922a
hex7ca67177ed10

137054310100240 has 80 divisors (see below), whose sum is σ = 343164959661888. Its totient is φ = 50604365680128.

The previous prime is 137054310100207. The next prime is 137054310100259. The reversal of 137054310100240 is 42001013450731.

137054310100240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250061539 + ... + 250609021.

Almost surely, 2137054310100240 is an apocalyptic number.

137054310100240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137054310100240 is an abundant number, since it is smaller than the sum of its proper divisors (206110649561648).

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

137054310100240 is a wasteful number, since it uses less digits than its factorization.

137054310100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788216 (or 788210 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

Adding to 137054310100240 its reverse (42001013450731), we get a palindrome (179055323550971).

The spelling of 137054310100240 in words is "one hundred thirty-seven trillion, fifty-four billion, three hundred ten million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 240707 481414 547483 962828 1094966 1203535 1925656 2189932 2407070 2737415 3129191 3851312 4379864 4814140 5474830 6258382 7117279 8759728 9628280 10949660 12516764 14234558 15645955 19256560 21899320 25033528 28469116 31291910 35586395 43798640 50067056 56938232 62583820 71172790 113876464 125167640 142345580 250335280 284691160 569382320 131782990481 263565980962 527131961924 658914952405 1054263923848 1317829904810 1713178876253 2108527847696 2635659809620 3426357752506 5271319619240 6852715505012 8565894381265 10542639238480 13705431010024 17131788762530 27410862020048 34263577525060 68527155050120 137054310100240