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231442325504 = 213132167173
BaseRepresentation
bin1101011110001100001…
…0011010000000000000
3211010101121120022111122
43113203002122000000
512242443213404004
6254153444131412
722502233210325
oct3274302320000
9733347508448
10231442325504
118a177182785
1238a31696b68
1318a95461c00
14b2b7cd8b4c
156048a03cbe
hex35e309a000

231442325504 has 84 divisors (see below), whose sum is σ = 501202530486. Its totient is φ = 106818895872.

The previous prime is 231442325503. The next prime is 231442325537. The reversal of 231442325504 is 405523244132.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 53290799104 + 178151526400 = 230848^2 + 422080^2 .

It is not an unprimeable number, because it can be changed into a prime (231442325503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1300862 + ... + 1468034.

Almost surely, 2231442325504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231442325504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250601265243).

231442325504 is an abundant number, since it is smaller than the sum of its proper divisors (269760204982).

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

231442325504 is an equidigital number, since it uses as much as digits as its factorization.

231442325504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167225 (or 167188 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 231442325504 its reverse (405523244132), we get a palindrome (636965569636).

The spelling of 231442325504 in words is "two hundred thirty-one billion, four hundred forty-two million, three hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1352 1664 2048 2704 3328 4096 5408 6656 8192 10816 13312 21632 26624 43264 53248 86528 106496 167173 173056 334346 346112 668692 692224 1337384 1384448 2173249 2674768 4346498 5349536 8692996 10699072 17385992 21398144 28252237 34771984 42796288 56504474 69543968 85592576 113008948 139087936 171185152 226017896 278175872 342370304 452035792 556351744 684740608 904071584 1112703488 1369481216 1808143168 2225406976 3616286336 4450813952 7232572672 8901627904 14465145344 17803255808 28930290688 57860581376 115721162752 231442325504