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142113243310410 = 2352312715733103079
BaseRepresentation
bin100000010100000001010001…
…011000101010100101001010
3200122011220010021100121102010
4200110001101120222211022
5122111340410241413120
61222125531145120350
741635225436041101
oct4024012130524512
9618156107317363
10142113243310410
1141310984a67269
1213b325b97890b6
13613b2b5395a48
1427144639c1038
151166a591b77e0
hex81405162a94a

142113243310410 has 128 divisors (see below), whose sum is σ = 358729641492480. Its totient is φ = 35961113776896.

The previous prime is 142113243310397. The next prime is 142113243310427. The reversal of 142113243310410 is 14013342311241.

It is a super-2 number, since 2×1421132433104102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1378631251 + ... + 1378734329.

It is an arithmetic number, because the mean of its divisors is an integer number (2802575324160).

Almost surely, 2142113243310410 is an apocalyptic number.

142113243310410 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 142113243310410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179364820746240).

142113243310410 is an abundant number, since it is smaller than the sum of its proper divisors (216616398182070).

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

142113243310410 is a wasteful number, since it uses less digits than its factorization.

142113243310410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118972.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 142113243310410 its reverse (14013342311241), we get a palindrome (156126585621651).

The spelling of 142113243310410 in words is "one hundred forty-two trillion, one hundred thirteen billion, two hundred forty-three million, three hundred ten thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 127 138 230 254 345 381 635 690 762 1270 1905 2921 3810 5842 8763 14605 15733 17526 29210 31466 43815 47199 78665 87630 94398 103079 157330 206158 235995 309237 361859 471990 515395 618474 723718 1030790 1085577 1546185 1809295 1998091 2171154 2370817 3092370 3618590 3996182 4741634 5427885 5994273 7112451 9990455 10855770 11854085 11988546 13091033 14224902 19980910 23708170 26182066 29971365 35562255 39273099 45956093 59942730 65455165 71124510 78546198 91912186 130910330 137868279 196365495 229780465 275736558 301093759 392730990 459560930 602187518 689341395 903281277 1378682790 1505468795 1621741907 1806562554 3010937590 3243483814 4516406385 4865225721 8108709535 9032812770 9730451442 16217419070 24326128605 37300063861 48652257210 74600127722 111900191583 186500319305 205961222189 223800383166 373000638610 411922444378 559500957915 617883666567 1029806110945 1119001915830 1235767333134 2059612221890 3089418332835 4737108110347 6178836665670 9474216220694 14211324331041 23685540551735 28422648662082 47371081103470 71056621655205 142113243310410