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202144131240 = 23357123725837
BaseRepresentation
bin1011110001000010111…
…0101010100010101000
3201022202202211211121120
42330100232222202220
511302442344144430
6232510322135240
720414214523332
oct2742056524250
9638682754546
10202144131240
1178802101797
12332157b1520
13160a65bc09c
149ad8b78452
1553d1807610
hex2f10baa8a8

202144131240 has 64 divisors (see below), whose sum is σ = 614973720960. Its totient is φ = 53145872640.

The previous prime is 202144131229. The next prime is 202144131251. The reversal of 202144131240 is 42131441202.

It is an interprime number because it is at equal distance from previous prime (202144131229) and next prime (202144131251).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 202144131240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11854399 + ... + 11871438.

It is an arithmetic number, because the mean of its divisors is an integer number (9608964390).

Almost surely, 2202144131240 is an apocalyptic number.

202144131240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202144131240 is an abundant number, since it is smaller than the sum of its proper divisors (412829589720).

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

202144131240 is a wasteful number, since it uses less digits than its factorization.

202144131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23725922 (or 23725918 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 202144131240 its reverse (42131441202), we get a palindrome (244275572442).

The spelling of 202144131240 in words is "two hundred two billion, one hundred forty-four million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 23725837 47451674 71177511 94903348 118629185 142355022 189806696 237258370 284710044 355887555 474516740 569420088 711775110 949033480 1423550220 1684534427 2847100440 3369068854 5053603281 6738137708 8422672135 10107206562 13476275416 16845344270 20214413124 25268016405 33690688540 40428826248 50536032810 67381377080 101072065620 202144131240