Search a number
-
+
242731413537 = 3232465732843
BaseRepresentation
bin1110001000001111101…
…0110111000000100001
3212012112100222101222020
43202003322313000201
512434103220213122
6303302000332053
723352052654404
oct3420372670041
9765470871866
10242731413537
1193a3a6116a8
123b062314029
1319b74236662
14ba6933bd3b
1564a9b48c5c
hex3883eb7021

242731413537 has 24 divisors (see below), whose sum is σ = 338408022624. Its totient is φ = 154747300224.

The previous prime is 242731413493. The next prime is 242731413541. The reversal of 242731413537 is 735314137242.

It is a happy number.

It is not a de Polignac number, because 242731413537 - 210 = 242731412513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242731413557) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7374238 + ... + 7407080.

It is an arithmetic number, because the mean of its divisors is an integer number (14100334276).

Almost surely, 2242731413537 is an apocalyptic number.

It is an amenable number.

242731413537 is a deficient number, since it is larger than the sum of its proper divisors (95676609087).

242731413537 is a wasteful number, since it uses less digits than its factorization.

242731413537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37549 (or 37526 counting only the distinct ones).

The product of its digits is 423360, while the sum is 42.

The spelling of 242731413537 in words is "two hundred forty-two billion, seven hundred thirty-one million, four hundred thirteen thousand, five hundred thirty-seven".

Divisors: 1 3 23 69 529 1587 4657 13971 32843 98529 107111 321333 755389 2266167 2463553 7390659 17373947 52121841 152949851 458849553 3517846573 10553539719 80910471179 242731413537