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242244131232 = 2537961751769
BaseRepresentation
bin1110000110011011100…
…0000001100110100000
3212011021102001220022110
43201212320001212200
512432103444144412
6303141352235320
723334015066315
oct3414670014640
9764242056273
10242244131232
119380a551254
123ab4709bb40
1319ac72b512c
14ba20736d0c
15647be93d3c
hex3866e019a0

242244131232 has 96 divisors (see below), whose sum is σ = 644996217600. Its totient is φ = 79595163648.

The previous prime is 242244131231. The next prime is 242244131249. The reversal of 242244131232 is 232131442242.

242244131232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 242244131232.

It is not an unprimeable number, because it can be changed into a prime (242244131231) 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, 4653444 + ... + 4705212.

It is an arithmetic number, because the mean of its divisors is an integer number (6718710600).

Almost surely, 2242244131232 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 242244131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322498108800).

242244131232 is an abundant number, since it is smaller than the sum of its proper divisors (402752086368).

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

242244131232 is a wasteful number, since it uses less digits than its factorization.

242244131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52478 (or 52470 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 242244131232 its reverse (232131442242), we get a palindrome (474375573474).

The spelling of 242244131232 in words is "two hundred forty-two billion, two hundred forty-four million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 617 632 948 1234 1264 1851 1896 2468 2528 3702 3792 4936 7404 7584 9872 14808 19744 29616 48743 51769 59232 97486 103538 146229 155307 194972 207076 292458 310614 389944 414152 584916 621228 779888 828304 1169832 1242456 1559776 1656608 2339664 2484912 4089751 4679328 4969824 8179502 12269253 16359004 24538506 31941473 32718008 49077012 63882946 65436016 95824419 98154024 127765892 130872032 191648838 196308048 255531784 383297676 392616096 511063568 766595352 1022127136 1533190704 2523376367 3066381408 5046752734 7570129101 10093505468 15140258202 20187010936 30280516404 40374021872 60561032808 80748043744 121122065616 242244131232