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241320342432 = 25313193365659
BaseRepresentation
bin1110000010111111010…
…0000011001110100000
3212001220000210120022110
43200233310003032200
512423211001424212
6302505552235320
723302100031441
oct3405764031640
9761800716273
10241320342432
1193386051034
123a92983bb40
13199aaaac940
14b973b872c8
156425d18a3c
hex382fd033a0

241320342432 has 48 divisors (see below), whose sum is σ = 682194048480. Its totient is φ = 74252412672.

The previous prime is 241320342401. The next prime is 241320342433. The reversal of 241320342432 is 234243023142.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 241320342432.

It is not an unprimeable number, because it can be changed into a prime (241320342433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96681582 + ... + 96684077.

It is an arithmetic number, because the mean of its divisors is an integer number (14212376010).

Almost surely, 2241320342432 is an apocalyptic number.

It is an amenable number.

241320342432 is an abundant number, since it is smaller than the sum of its proper divisors (440873706048).

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

241320342432 is a wasteful number, since it uses less digits than its factorization.

241320342432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193365685 (or 193365677 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 241320342432 its reverse (234243023142), we get a palindrome (475563365574).

The spelling of 241320342432 in words is "two hundred forty-one billion, three hundred twenty million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 193365659 386731318 580096977 773462636 1160193954 1546925272 2320387908 2513753567 3093850544 4640775816 5027507134 6187701088 7541260701 9281551632 10055014268 15082521402 18563103264 20110028536 30165042804 40220057072 60330085608 80440114144 120660171216 241320342432