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137740115310 = 2357655905311
BaseRepresentation
bin1000000001000111110…
…0110101110101101110
3111011112100022211202020
42000101330311311232
54224042432142220
6143135452411010
712644220443130
oct2002174656556
9434470284666
10137740115310
1153462782346
1222840a76a66
13ccb1624015
146949443050
1538b2626040
hex2011f35d6e

137740115310 has 32 divisors (see below), whose sum is σ = 377801459712. Its totient is φ = 31483454880.

The previous prime is 137740115273. The next prime is 137740115363. The reversal of 137740115310 is 13511047731.

137740115310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1377401153102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327952446 + ... + 327952865.

It is an arithmetic number, because the mean of its divisors is an integer number (11806295616).

Almost surely, 2137740115310 is an apocalyptic number.

137740115310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137740115310 is an abundant number, since it is smaller than the sum of its proper divisors (240061344402).

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

137740115310 is a wasteful number, since it uses less digits than its factorization.

137740115310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655905328.

The product of its (nonzero) digits is 8820, while the sum is 33.

The spelling of 137740115310 in words is "one hundred thirty-seven billion, seven hundred forty million, one hundred fifteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 655905311 1311810622 1967715933 3279526555 3935431866 4591337177 6559053110 9182674354 9838579665 13774011531 19677159330 22956685885 27548023062 45913371770 68870057655 137740115310