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20423133144 = 23321272233501
BaseRepresentation
bin10011000001010100…
…000100011111011000
31221201022201122210200
4103001110010133120
5313311310230034
613214322342200
71322050524141
oct230124043730
957638648720
1020423133144
118730365237
123b5b7ba960
131c0625878b
14dba58cac8
157e7e9da99
hex4c15047d8

20423133144 has 48 divisors (see below), whose sum is σ = 55748209920. Its totient is φ = 6754104000.

The previous prime is 20423133113. The next prime is 20423133149. The reversal of 20423133144 is 44133132402.

20423133144 is a `hidden beast` number, since 204 + 2 + 313 + 3 + 144 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20423133149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1107607 + ... + 1125894.

It is an arithmetic number, because the mean of its divisors is an integer number (1161421040).

Almost surely, 220423133144 is an apocalyptic number.

20423133144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20423133144 is an abundant number, since it is smaller than the sum of its proper divisors (35325076776).

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

20423133144 is a wasteful number, since it uses less digits than its factorization.

20423133144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233640 (or 2233633 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20423133144 its reverse (44133132402), we get a palindrome (64556265546).

The spelling of 20423133144 in words is "twenty billion, four hundred twenty-three million, one hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 9144 2233501 4467002 6700503 8934004 13401006 17868008 20101509 26802012 40203018 53604024 80406036 160812072 283654627 567309254 850963881 1134618508 1701927762 2269237016 2552891643 3403855524 5105783286 6807711048 10211566572 20423133144