Search a number
-
+
320441140040424 = 233137375471864217
BaseRepresentation
bin100100011011100001000010…
…0010100101101001011101000
31120000120212121000020001110120
41020313002010110231023220
5314000101423322243144
63053304343312243240
7124332052113133554
oct11067020424551350
91500525530201416
10320441140040424
1193114362740167
122bb33781540520
13109a5615339170
14591b6109c6864
15270a621c19e19
hex123708452d2e8

320441140040424 has 128 divisors (see below), whose sum is σ = 874660661562240. Its totient is φ = 97233688645632.

The previous prime is 320441140040369. The next prime is 320441140040473. The reversal of 320441140040424 is 424040041144023.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170958364 + ... + 172822580.

It is an arithmetic number, because the mean of its divisors is an integer number (6833286418455).

Almost surely, 2320441140040424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320441140040424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437330330781120).

320441140040424 is an abundant number, since it is smaller than the sum of its proper divisors (554219521521816).

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

320441140040424 is a wasteful number, since it uses less digits than its factorization.

320441140040424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871859 (or 1871855 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 320441140040424 its reverse (424040041144023), we get a palindrome (744481181184447).

The spelling of 320441140040424 in words is "three hundred twenty trillion, four hundred forty-one billion, one hundred forty million, forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 73 78 104 146 156 219 292 312 438 584 876 949 1752 1898 2847 3796 5694 7547 7592 11388 15094 22641 22776 30188 45282 60376 90564 98111 181128 196222 294333 392444 550931 588666 784888 1101862 1177332 1652793 1864217 2203724 2354664 3305586 3728434 4407448 5592651 6611172 7162103 7456868 11185302 13222344 14324206 14913736 21486309 22370604 24234821 28648412 42972618 44741208 48469642 57296824 72704463 85945236 96939284 136087841 145408926 171890472 193878568 272175682 290817852 408263523 544351364 581635704 816527046 1088702728 1633054092 1769141933 3266108184 3538283866 5307425799 7076567732 10614851598 14069245699 14153135464 21229703196 28138491398 42207737097 42459406392 56276982796 84415474194 112553965592 168830948388 182900194087 337661896776 365800388174 548700582261 731600776348 1027054936027 1097401164522 1463201552696 2054109872054 2194802329044 3081164808081 4108219744108 4389604658088 6162329616162 8216439488216 12324659232324 13351714168351 24649318464648 26703428336702 40055142505053 53406856673404 80110285010106 106813713346808 160220570020212 320441140040424