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23203134144 = 2632118733937
BaseRepresentation
bin10101100111000000…
…111011101011000000
32012220001210100020200
4111213000323223000
5340010000243034
614354231405200
71450665246261
oct254700735300
965801710220
1023203134144
119927623123
1245b6823800
13225a1a2b98
1411a1888968
1590c087a99
hex56703bac0

23203134144 has 84 divisors (see below), whose sum is σ = 66565585944. Its totient is φ = 7727634432.

The previous prime is 23203134109. The next prime is 23203134151. The reversal of 23203134144 is 44143130232.

23203134144 is a `hidden beast` number, since 232 + 0 + 3 + 13 + 414 + 4 = 666.

It is a super-2 number, since 2×232031341442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 666744 + ... + 700680.

Almost surely, 223203134144 is an apocalyptic number.

23203134144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23203134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33282792972).

23203134144 is an abundant number, since it is smaller than the sum of its proper divisors (43362451800).

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

23203134144 is a wasteful number, since it uses less digits than its factorization.

23203134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35142 (or 35129 counting only the distinct ones).

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

Adding to 23203134144 its reverse (44143130232), we get a palindrome (67346264376).

The spelling of 23203134144 in words is "twenty-three billion, two hundred three million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1187 2374 3561 4748 7122 9496 10683 14244 18992 21366 28488 33937 37984 42732 56976 67874 75968 85464 101811 113952 135748 170928 203622 227904 271496 305433 341856 407244 542992 610866 683712 814488 1085984 1221732 1628976 2171968 2443464 3257952 4886928 6515904 9773856 19547712 40283219 80566438 120849657 161132876 241699314 322265752 362548971 483398628 644531504 725097942 966797256 1289063008 1450195884 1933594512 2578126016 2900391768 3867189024 5800783536 7734378048 11601567072 23203134144