Search a number
-
+
442338482066144 = 25109577219787219
BaseRepresentation
bin110010010010011011111010…
…0000110000001001011100000
32011000012010221100202111212112
41210210313310012001023200
5430434233202402104034
64204435254321414452
7162112620641420336
oct14444676406011340
92130163840674775
10442338482066144
11118a407734276a4
12417401b279a428
1315ca8455929901
147b33422471b56
15362138bad07ce
hex1924df41812e0

442338482066144 has 48 divisors (see below), whose sum is σ = 880366501198800. Its totient is φ = 218760372117504.

The previous prime is 442338482066101. The next prime is 442338482066147. The reversal of 442338482066144 is 441660284833244.

It is a super-2 number, since 2×4423384820661442 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442338482066147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107881034 + ... + 111906185.

It is an arithmetic number, because the mean of its divisors is an integer number (18340968774975).

Almost surely, 2442338482066144 is an apocalyptic number.

It is an amenable number.

442338482066144 is a deficient number, since it is larger than the sum of its proper divisors (438028019132656).

442338482066144 is a wasteful number, since it uses less digits than its factorization.

442338482066144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219787915 (or 219787907 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 59.

The spelling of 442338482066144 in words is "four hundred forty-two trillion, three hundred thirty-eight billion, four hundred eighty-two million, sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 109 218 436 577 872 1154 1744 2308 3488 4616 9232 18464 62893 125786 251572 503144 1006288 2012576 219787219 439574438 879148876 1758297752 3516595504 7033191008 23956806871 47913613742 95827227484 126817225363 191654454968 253634450726 383308909936 507268901452 766617819872 1014537802904 2029075605808 4058151211616 13823077564567 27646155129134 55292310258268 110584620516536 221169241033072 442338482066144