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15142340130 = 235171911313829
BaseRepresentation
bin11100001101000110…
…11100011000100010
31110002021222120122020
432012203130120202
5222002414341010
610542320522310
71044145524141
oct160643343042
943067876566
1015142340130
116470502295
122b27180396
131574195598
14a390b7758
155d957e470
hex3868dc622

15142340130 has 128 divisors (see below), whose sum is σ = 40865990400. Its totient is φ = 3568287744.

The previous prime is 15142340123. The next prime is 15142340177. The reversal of 15142340130 is 3104324151.

It is a happy number.

It is a super-2 number, since 2×151423401302 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 15142340130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1088056 + ... + 1101884.

It is an arithmetic number, because the mean of its divisors is an integer number (319265550).

Almost surely, 215142340130 is an apocalyptic number.

15142340130 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 15142340130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20432995200).

15142340130 is an abundant number, since it is smaller than the sum of its proper divisors (25723650270).

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

15142340130 is a wasteful number, since it uses less digits than its factorization.

15142340130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13988.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 15142340130 its reverse (3104324151), we get a palindrome (18246664281).

The spelling of 15142340130 in words is "fifteen billion, one hundred forty-two million, three hundred forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 113 114 170 190 226 255 285 323 339 510 565 570 646 678 969 1130 1615 1695 1921 1938 2147 3230 3390 3842 4294 4845 5763 6441 9605 9690 10735 11526 12882 13829 19210 21470 27658 28815 32205 36499 41487 57630 64410 69145 72998 82974 109497 138290 182495 207435 218994 235093 262751 364990 414870 470186 525502 547485 705279 788253 1094970 1175465 1313755 1410558 1562677 1576506 2350930 2627510 3125354 3526395 3941265 4466767 4688031 7052790 7813385 7882530 8933534 9376062 13400301 15626770 22333835 23440155 26565509 26800602 29690863 44667670 46880310 53131018 59381726 67001505 79696527 89072589 132827545 134003010 148454315 159393054 178145178 265655090 296908630 398482635 445362945 504744671 796965270 890725890 1009489342 1514234013 2523723355 3028468026 5047446710 7571170065 15142340130