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142360350400116 = 223229532572839413
BaseRepresentation
bin100000010111100111011010…
…000111011001111001110100
3200200001111221120221101122200
4200113213122013121321310
5122124412444200300431
61222435235255424500
741662124123456052
oct4027473207317164
9620044846841580
10142360350400116
11413a675a524162
1213b72481385130
1361586a5cc6ba4
1427223c61051d2
15116d1bd042ee6
hex8179da1d9e74

142360350400116 has 72 divisors (see below), whose sum is σ = 379287986411880. Its totient is φ = 44952650206464.

The previous prime is 142360350400069. The next prime is 142360350400123. The reversal of 142360350400116 is 611004053063241.

142360350400116 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 603 + 5 + 0 + 40 + 0 + 1 + 1 + 6 = 666.

142360350400116 is digitally balanced in base 3, 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 4 ways, for example, as 49347056364516 + 93013294035600 = 7024746^2 + 9644340^2 .

It is a super-2 number, since 2×1423603504001162 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1286364375 + ... + 1286475038.

It is an arithmetic number, because the mean of its divisors is an integer number (5267888700165).

Almost surely, 2142360350400116 is an apocalyptic number.

It is an amenable number.

142360350400116 is an abundant number, since it is smaller than the sum of its proper divisors (236927636011764).

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

142360350400116 is a wasteful number, since it uses less digits than its factorization.

142360350400116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572839505 (or 2572839500 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 142360350400116 in words is "one hundred forty-two trillion, three hundred sixty billion, three hundred fifty million, four hundred thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 29 36 53 58 87 106 116 159 174 212 261 318 348 477 522 636 954 1044 1537 1908 3074 4611 6148 9222 13833 18444 27666 55332 2572839413 5145678826 7718518239 10291357652 15437036478 23155554717 30874072956 46311109434 74612342977 92622218868 136360488889 149224685954 223837028931 272720977778 298449371908 409081466667 447674057862 545441955556 671511086793 818162933334 895348115724 1227244400001 1343022173586 1636325866668 2454488800002 2686044347172 3954454177781 4908977600004 7908908355562 11863362533343 15817816711124 23726725066686 35590087600029 47453450133372 71180175200058 142360350400116