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232243144303120 = 24513130692210881
BaseRepresentation
bin110100110011100101010010…
…000111100010001000010000
31010110022020011001002001000121
4310303211102013202020100
5220420032424420144440
62141535005544000024
766630004422004306
oct6463452207421020
91113266131061017
10232243144303120
1167aaa845435945
122206a33b160014
139c785858a12b2
14414c8b195a276
151bcb29cd4c34a
hexd339521e2210

232243144303120 has 40 divisors (see below), whose sum is σ = 539965965959640. Its totient is φ = 92897144954880.

The previous prime is 232243144303097. The next prime is 232243144303139. The reversal of 232243144303120 is 21303441342232.

It can be written as a sum of positive squares in 4 ways, for example, as 1741639762944 + 230501504540176 = 1319712^2 + 15182276^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103940080 + ... + 106150960.

It is an arithmetic number, because the mean of its divisors is an integer number (13499149148991).

Almost surely, 2232243144303120 is an apocalyptic number.

232243144303120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232243144303120 is an abundant number, since it is smaller than the sum of its proper divisors (307722821656520).

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

232243144303120 is a wasteful number, since it uses less digits than its factorization.

232243144303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523963 (or 3523957 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 232243144303120 its reverse (21303441342232), we get a palindrome (253546585645352).

The spelling of 232243144303120 in words is "two hundred thirty-two trillion, two hundred forty-three billion, one hundred forty-four million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1313069 2210881 2626138 4421762 5252276 6565345 8843524 10504552 11054405 13130690 17687048 21009104 22108810 26261380 35374096 44217620 52522760 88435240 105045520 176870480 2903039303789 5806078607578 11612157215156 14515196518945 23224314430312 29030393037890 46448628860624 58060786075780 116121572151560 232243144303120