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23461327440 = 2432532585177
BaseRepresentation
bin10101110110011001…
…110111001001010000
32020120001121220212100
4111312121313021100
5341022044434230
614440013400400
71460251664355
oct256631671120
966501556770
1023461327440
119a4a342611
124669199100
13229b823995
1411c7c9862c
15924a89660
hex576677250

23461327440 has 60 divisors (see below), whose sum is σ = 78790960404. Its totient is φ = 6256353792.

The previous prime is 23461327423. The next prime is 23461327607. The reversal of 23461327440 is 4472316432.

23461327440 is a `hidden beast` number, since 2 + 34 + 613 + 2 + 7 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6299279424 + 17162048016 = 79368^2 + 131004^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23461327395 and 23461327404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16291869 + ... + 16293308.

Almost surely, 223461327440 is an apocalyptic number.

23461327440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23461327440 is an abundant number, since it is smaller than the sum of its proper divisors (55329632964).

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

23461327440 is a wasteful number, since it uses less digits than its factorization.

23461327440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32585196 (or 32585187 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 23461327440 in words is "twenty-three billion, four hundred sixty-one million, three hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 32585177 65170354 97755531 130340708 162925885 195511062 260681416 293266593 325851770 391022124 488777655 521362832 586533186 651703540 782044248 977555310 1173066372 1303407080 1466332965 1564088496 1955110620 2346132744 2606814160 2932665930 3910221240 4692265488 5865331860 7820442480 11730663720 23461327440