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23240670647040 = 2834573113491
BaseRepresentation
bin1010100100011001000111…
…11010110001001100000000
310001021210020022000101220000
411102030203322301030000
511021233343141201130
6121232341112520000
74616040325023000
oct522144372611400
9101253208011800
1023240670647040
117450349774000
1227342456b0000
13cc7780118112
145a4bd68da000
152a482335b260
hex152323eb1300

23240670647040 has 2880 divisors, whose sum is σ = 106886705587200. Its totient is φ = 4819394764800.

The previous prime is 23240670647027. The next prime is 23240670647081. The reversal of 23240670647040 is 4074607604232.

23240670647040 is a `hidden beast` number, since 2 + 32 + 40 + 6 + 70 + 6 + 470 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 47333341195 + ... + 47333341685.

It is an arithmetic number, because the mean of its divisors is an integer number (37113439440).

Almost surely, 223240670647040 is an apocalyptic number.

23240670647040 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 23240670647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53443352793600).

23240670647040 is an abundant number, since it is smaller than the sum of its proper divisors (83646034940160).

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

23240670647040 is an frugal number, since it uses more digits than its factorization.

23240670647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 23240670647040 in words is "twenty-three trillion, two hundred forty billion, six hundred seventy million, six hundred forty-seven thousand, forty".