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14137807410 = 23251770913033
BaseRepresentation
bin11010010101010110…
…11101001000110010
31100111021210000210200
431022223131020302
5212423234314120
610254514140030
71010230244256
oct151253351062
940437700720
1014137807410
115aa5472a61
1228a6881616
13144402c21c
1498190a266
1557b2a4e90
hex34aadd232

14137807410 has 96 divisors (see below), whose sum is σ = 38978437680. Its totient is φ = 3543035904.

The previous prime is 14137807403. The next prime is 14137807421. The reversal of 14137807410 is 1470873141.

14137807410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6134179041 + 8003628369 = 78321^2 + 89463^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1078254 + ... + 1091286.

Almost surely, 214137807410 is an apocalyptic number.

14137807410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14137807410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19489218840).

14137807410 is an abundant number, since it is smaller than the sum of its proper divisors (24840630270).

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

14137807410 is a wasteful number, since it uses less digits than its factorization.

14137807410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13772 (or 13769 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 14137807410 in words is "fourteen billion, one hundred thirty-seven million, eight hundred seven thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 709 765 1418 1530 2127 3545 4254 6381 7090 10635 12053 12762 13033 21270 24106 26066 31905 36159 39099 60265 63810 65165 72318 78198 108477 117297 120530 130330 180795 195495 216954 221561 234594 361590 390990 443122 542385 586485 664683 1084770 1107805 1172970 1329366 1994049 2215610 3323415 3988098 6646830 9240397 9970245 18480794 19940490 27721191 46201985 55442382 83163573 92403970 138605955 157086749 166327146 277211910 314173498 415817865 471260247 785433745 831635730 942520494 1413780741 1570867490 2356301235 2827561482 4712602470 7068903705 14137807410