Search a number
-
+
23443244234432 = 2611211157820203
BaseRepresentation
bin1010101010010010011100…
…01111101011011011000000
310002000011002222221212120222
411111021032033223123000
511033043231011000212
6121505402215522212
74636501306063151
oct525111617533300
9102004088855528
1023443244234432
11751925122a530
12276755b089368
1310108c4690069
145b0932705928
152a9c2c6e4c72
hex15524e3eb6c0

23443244234432 has 56 divisors (see below), whose sum is σ = 50989814069952. Its totient is φ = 10605517574400.

The previous prime is 23443244234429. The next prime is 23443244234437.

23443244234432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (23443244234437) 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, 78761558 + ... + 79058645.

Almost surely, 223443244234432 is an apocalyptic number.

23443244234432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23443244234432 is an abundant number, since it is smaller than the sum of its proper divisors (27546569835520).

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

23443244234432 is a wasteful number, since it uses less digits than its factorization.

23443244234432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157820437 (or 157820427 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 44.

It can be divided in two parts, 2344324 and 4234432, that added together give a palindrome (6578756).

The spelling of 23443244234432 in words is "twenty-three trillion, four hundred forty-three billion, two hundred forty-four million, two hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 211 352 422 704 844 1688 2321 3376 4642 6752 9284 13504 18568 37136 74272 148544 157820203 315640406 631280812 1262561624 1736022233 2525123248 3472044466 5050246496 6944088932 10100492992 13888177864 27776355728 33300062833 55552711456 66600125666 111105422912 133200251332 266400502664 366300691163 532801005328 732601382326 1065602010656 1465202764652 2131204021312 2930405529304 5860811058608 11721622117216 23443244234432