Search a number
-
+
23144433231144 = 2333727258747353
BaseRepresentation
bin1010100001100101110111…
…01110001010010100101000
310000221120211100100010201010
411100302323232022110220
511013144244401344034
6121120223355023520
74606062426340311
oct520627356122450
9100846740303633
1023144433231144
117413554204045
122719667a3aba0
13cbb683ca2504
145a02a746b608
152a208e5eb3e9
hex150cbbb8a528

23144433231144 has 32 divisors (see below), whose sum is σ = 57876608142720. Its totient is φ = 7712741068416.

The previous prime is 23144433231137. The next prime is 23144433231299. The reversal of 23144433231144 is 44113233444132.

It is a super-2 number, since 2×231444332311442 (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129284229 + ... + 129463124.

It is an arithmetic number, because the mean of its divisors is an integer number (1808644004460).

Almost surely, 223144433231144 is an apocalyptic number.

23144433231144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23144433231144 is an abundant number, since it is smaller than the sum of its proper divisors (34732174911576).

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

23144433231144 is a wasteful number, since it uses less digits than its factorization.

23144433231144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258751089 (or 258751085 counting only the distinct ones).

The product of its digits is 331776, while the sum is 39.

Adding to 23144433231144 its reverse (44113233444132), we get a palindrome (67257666675276).

The spelling of 23144433231144 in words is "twenty-three trillion, one hundred forty-four billion, four hundred thirty-three million, two hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 3727 7454 11181 14908 22362 29816 44724 89448 258747353 517494706 776242059 1034989412 1552484118 2069978824 3104968236 6209936472 964351384631 1928702769262 2893054153893 3857405538524 5786108307786 7714811077048 11572216615572 23144433231144