Search a number
-
+
240054520517471 = 112331109280802633
BaseRepresentation
bin110110100101010000001100…
…011011000001001101011111
31011110221222200021112022200202
4312211100030123001031133
5222431023124223024341
62210315305125414115
7101364236542210322
oct6645201433011537
91143858607468622
10240054520517471
116a541606695120
1222b1021126a33b
13a3c407600496a
14433c9b4d5a7b9
151cb458044379b
hexda540c6c135f

240054520517471 has 32 divisors (see below), whose sum is σ = 284666478243840. Its totient is φ = 200156116089600.

The previous prime is 240054520517437. The next prime is 240054520517521. The reversal of 240054520517471 is 174715025450042.

It is a de Polignac number, because none of the positive numbers 2k-240054520517471 is a prime.

It is a super-4 number, since 4×2400545205174714 (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240054520510471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139546430 + ... + 141256203.

It is an arithmetic number, because the mean of its divisors is an integer number (8895827445120).

Almost surely, 2240054520517471 is an apocalyptic number.

240054520517471 is a deficient number, since it is larger than the sum of its proper divisors (44611957726369).

240054520517471 is a wasteful number, since it uses less digits than its factorization.

240054520517471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280802807.

The product of its (nonzero) digits is 1568000, while the sum is 47.

The spelling of 240054520517471 in words is "two hundred forty trillion, fifty-four billion, five hundred twenty million, five hundred seventeen thousand, four hundred seventy-one".

Divisors: 1 11 23 31 109 253 341 713 1199 2507 3379 7843 27577 37169 77717 854887 280802633 3088828963 6458460559 8704881623 30607486997 71043066149 95753697853 200212277329 336682356967 703972200931 948832096907 2202335050619 7743694210241 10437153065977 21823138228861 240054520517471