Search a number
-
+
232440144024 = 233112359937309
BaseRepresentation
bin1101100001111010000…
…0110010000010011000
3211012222011010202012010
43120132200302002120
512302014134102044
6254440450545520
722536040424244
oct3303640620230
9735864122163
10232440144024
118a639446590
123906b8982a0
1318bc40b717a
14b370639424
1560a6403bb9
hex361e832098

232440144024 has 64 divisors (see below), whose sum is σ = 633971520000. Its totient is φ = 70431534720.

The previous prime is 232440144023. The next prime is 232440144059. The reversal of 232440144024 is 420441044232.

232440144024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 232440143982 and 232440144000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232440144023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6211482 + ... + 6248790.

It is an arithmetic number, because the mean of its divisors is an integer number (9905805000).

Almost surely, 2232440144024 is an apocalyptic number.

232440144024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232440144024 is an abundant number, since it is smaller than the sum of its proper divisors (401531375976).

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

232440144024 is a wasteful number, since it uses less digits than its factorization.

232440144024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60928 (or 60924 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 232440144024 its reverse (420441044232), we get a palindrome (652881188256).

The spelling of 232440144024 in words is "two hundred thirty-two billion, four hundred forty million, one hundred forty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 23599 37309 47198 70797 74618 94396 111927 141594 149236 188792 223854 259589 283188 298472 410399 447708 519178 566376 778767 820798 895416 1038356 1231197 1557534 1641596 2076712 2462394 3115068 3283192 4924788 6230136 9849576 880455091 1760910182 2641365273 3521820364 5282730546 7043640728 9685006001 10565461092 19370012002 21130922184 29055018003 38740024004 58110036006 77480048008 116220072012 232440144024