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10142239905 = 335741673907
BaseRepresentation
bin10010111001000011…
…00100110010100001
3222011211102011121000
421130201210302201
5131232403134110
64354223222213
7506222421360
oct113441446241
928154364530
1010142239905
114335036a56
121b70747969
13c583001b5
146c2dcb7d7
153e56081c0
hex25c864ca1

10142239905 has 128 divisors (see below), whose sum is σ = 21429596160. Its totient is φ = 4454714880.

The previous prime is 10142239883. The next prime is 10142239909. The reversal of 10142239905 is 50993224101.

It is not a de Polignac number, because 10142239905 - 27 = 10142239777 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10142239905.

It is not an unprimeable number, because it can be changed into a prime (10142239909) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2593962 + ... + 2597868.

It is an arithmetic number, because the mean of its divisors is an integer number (167418720).

Almost surely, 210142239905 is an apocalyptic number.

10142239905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10142239905 is an abundant number, since it is smaller than the sum of its proper divisors (11287356255).

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

10142239905 is a wasteful number, since it uses less digits than its factorization.

10142239905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

It can be divided in two parts, 10142 and 239905, that added together give a cube (250047 = 633).

The spelling of 10142239905 in words is "ten billion, one hundred forty-two million, two hundred thirty-nine thousand, nine hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 41 45 63 67 105 123 135 189 201 205 287 315 335 369 469 603 615 861 945 1005 1107 1407 1435 1809 1845 2345 2583 2747 3015 3907 4221 4305 5535 7035 7749 8241 9045 11721 12663 12915 13735 19229 19535 21105 24723 27349 35163 38745 41205 57687 58605 63315 74169 82047 96145 105489 123615 136745 160187 173061 175815 246141 261769 288435 370845 410235 480561 519183 527445 738423 785307 800935 865305 1121309 1230705 1308845 1441683 1832383 2355921 2402805 2595915 3363927 3692115 3926535 4325049 5497149 5606545 7067763 7208415 9161915 10091781 10732529 11779605 16491447 16819635 21625245 27485745 30275343 32197587 35338815 49474341 50458905 53662645 75127703 82457235 96592761 151376715 160987935 225383109 247371705 289778283 375638515 482963805 676149327 1126915545 1448891415 2028447981 3380746635 10142239905