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241374131664 = 24331721297451
BaseRepresentation
bin1110000011001100000…
…1001111010111010000
3212002000210000100021020
43200303001033113100
512423313234203124
6302515153155440
723303322160401
oct3406301172720
9762023010236
10241374131664
119340344a746
123a94385bb80
13199b8c939a3
14b97ad899a8
15642a8e1379
hex383304f5d0

241374131664 has 80 divisors (see below), whose sum is σ = 625894672320. Its totient is φ = 80155801600.

The previous prime is 241374131659. The next prime is 241374131707. The reversal of 241374131664 is 466131473142.

It is a super-2 number, since 2×2413741316642 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 32391139 + ... + 32398589.

It is an arithmetic number, because the mean of its divisors is an integer number (7823683404).

Almost surely, 2241374131664 is an apocalyptic number.

241374131664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

241374131664 is an abundant number, since it is smaller than the sum of its proper divisors (384520540656).

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

241374131664 is a wasteful number, since it uses less digits than its factorization.

241374131664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9908 (or 9902 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The spelling of 241374131664 in words is "two hundred forty-one billion, three hundred seventy-four million, one hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 317 634 951 1268 1902 2129 2536 3804 4258 5072 6387 7451 7608 8516 12774 14902 15216 17032 22353 25548 29804 34064 44706 51096 59608 89412 102192 119216 178824 357648 674893 1349786 2024679 2361967 2699572 4049358 4723934 5399144 7085901 8098716 9447868 10798288 14171802 15863179 16197432 18895736 28343604 31726358 32394864 37791472 47589537 56687208 63452716 95179074 113374416 126905432 190358148 253810864 380716296 761432592 5028627743 10057255486 15085883229 20114510972 30171766458 40229021944 60343532916 80458043888 120687065832 241374131664