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23415051140 = 22513377093433
BaseRepresentation
bin10101110011101001…
…010101001110000100
32020102211112211201022
4111303221111032010
5340423223114030
614431241450312
71456150436135
oct256351251604
966384484638
1023415051140
119a26205538
1246557a0998
132292070460
1411c1a8dc8c
15920997de5
hex573a55384

23415051140 has 96 divisors (see below), whose sum is σ = 54477800160. Its totient is φ = 8397582336.

The previous prime is 23415051131. The next prime is 23415051151. The reversal of 23415051140 is 4115051432.

It can be written as a sum of positive squares in 16 ways, for example, as 10258043524 + 13157007616 = 101282^2 + 114704^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 6818864 + ... + 6822296.

It is an arithmetic number, because the mean of its divisors is an integer number (567477085).

Almost surely, 223415051140 is an apocalyptic number.

23415051140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23415051140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27238900080).

23415051140 is an abundant number, since it is smaller than the sum of its proper divisors (31062749020).

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

23415051140 is a wasteful number, since it uses less digits than its factorization.

23415051140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 23415051140 in words is "twenty-three billion, four hundred fifteen million, fifty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 709 740 962 1418 1924 2405 2836 3433 3545 4810 6866 7090 9217 9620 13732 14180 17165 18434 26233 34330 36868 44629 46085 52466 68660 89258 92170 104932 127021 131165 178516 184340 223145 254042 262330 341029 446290 508084 524660 635105 682058 892580 1270210 1364116 1651273 1705145 2433997 2540420 3302546 3410290 4867994 6605092 6820580 8256365 9735988 12169985 16512730 24339970 31641961 33025460 48679940 63283922 90057889 126567844 158209805 180115778 316419610 360231556 450289445 632839220 900578890 1170752557 1801157780 2341505114 4683010228 5853762785 11707525570 23415051140