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23144410410 = 23511383183119
BaseRepresentation
bin10101100011100000…
…111010110100101010
32012201222021212102120
4111203200322310222
5334344432113120
614344333012110
71446353146122
oct254340726452
965658255376
1023144410410
1198a7464110
12459b024036
13224ac81b04
141197b5dc82
15906d38140
hex56383ad2a

23144410410 has 64 divisors (see below), whose sum is σ = 60754821120. Its totient is φ = 5596086080.

The previous prime is 23144410403. The next prime is 23144410423. The reversal of 23144410410 is 1401444132.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 34831 + ... + 217949.

It is an arithmetic number, because the mean of its divisors is an integer number (949294080).

Almost surely, 223144410410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23144410410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30377410560).

23144410410 is an abundant number, since it is smaller than the sum of its proper divisors (37610410710).

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

23144410410 is a wasteful number, since it uses less digits than its factorization.

23144410410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183523.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 23144410410 its reverse (1401444132), we get a palindrome (24545854542).

The spelling of 23144410410 in words is "twenty-three billion, one hundred forty-four million, four hundred ten thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 383 766 1149 1915 2298 3830 4213 5745 8426 11490 12639 21065 25278 42130 63195 126390 183119 366238 549357 915595 1098714 1831190 2014309 2746785 4028618 5493570 6042927 10071545 12085854 20143090 30214635 60429270 70134577 140269154 210403731 350672885 420807462 701345770 771480347 1052018655 1542960694 2104037310 2314441041 3857401735 4628882082 7714803470 11572205205 23144410410