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142360166400424 = 237210115722902421
BaseRepresentation
bin100000010111100111001111…
…001001100000000110101000
3200200001111110202201020112021
4200113213033021200012220
5122124412110044303144
61222435205123554224
741662116430501600
oct4027471711400650
9620044422636467
10142360166400424
11413a667567a4a5
1213b7242b82b974
136158676b5262b
1427223a98c9c00
15116d1abce9884
hex8179cf2601a8

142360166400424 has 96 divisors (see below), whose sum is σ = 315576595173960. Its totient is φ = 60022662336000.

The previous prime is 142360166400421. The next prime is 142360166400433. The reversal of 142360166400424 is 424004661063241.

It can be written as a sum of positive squares in 4 ways, for example, as 142335637202500 + 24529197924 = 11930450^2 + 156618^2 .

It is a super-2 number, since 2×1423601664004242 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142360166400421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5235267 + ... + 17667154.

Almost surely, 2142360166400424 is an apocalyptic number.

142360166400424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

142360166400424 is an abundant number, since it is smaller than the sum of its proper divisors (173216428773536).

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

142360166400424 is a wasteful number, since it uses less digits than its factorization.

142360166400424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22902699 (or 22902688 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 43.

The spelling of 142360166400424 in words is "one hundred forty-two trillion, three hundred sixty billion, one hundred sixty-six million, four hundred thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 157 196 202 314 392 404 628 707 808 1099 1256 1414 2198 2828 4396 4949 5656 7693 8792 9898 15386 15857 19796 30772 31714 39592 61544 63428 110999 126856 221998 443996 776993 887992 1553986 3107972 6215944 22902421 45804842 91609684 160316947 183219368 320633894 641267788 1122218629 1282535576 2244437258 2313144521 3595680097 4488874516 4626289042 7191360194 8977749032 9252578084 14382720388 16192011647 18505156168 25169760679 28765440776 32384023294 50339521358 64768046588 100679042716 113344081529 129536093176 176188324753 201358085432 226688163058 352376649506 363163689797 453376326116 704753299012 726327379594 906752652232 1409506598024 1452654759188 2542145828579 2905309518376 5084291657158 10168583314316 17795020800053 20337166628632 35590041600106 71180083200212 142360166400424