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23380474703040 = 263657413319
BaseRepresentation
bin1010101000011101100001…
…11000111010110011000000
310001210011002111000022000000
411110032300320322303000
511031031203010444130
6121420501455000000
74632116646630000
oct524166070726300
9101704074008000
1023380474703040
1174a4670495554
122757361809000
131007a00213000
145ab89a0c0000
152a82a6c75260
hex1543b0e3acc0

23380474703040 has 3920 divisors, whose sum is σ = 111044024901600. Its totient is φ = 4673390432256.

The previous prime is 23380474703029. The next prime is 23380474703041. The reversal of 23380474703040 is 4030747408332.

23380474703040 is a `hidden beast` number, since 2 + 3 + 3 + 80 + 474 + 70 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3920).

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

It is not an unprimeable number, because it can be changed into a prime (23380474703041) by changing a digit.

It is a polite number, since it can be written in 559 ways as a sum of consecutive naturals, for example, 1230551300151 + ... + 1230551300169.

Almost surely, 223380474703040 is an apocalyptic number.

23380474703040 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 23380474703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55522012450800).

23380474703040 is an abundant number, since it is smaller than the sum of its proper divisors (87663550198560).

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

23380474703040 is an frugal number, since it uses more digits than its factorization.

23380474703040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 49 counting only the distinct ones).

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

The spelling of 23380474703040 in words is "twenty-three trillion, three hundred eighty billion, four hundred seventy-four million, seven hundred three thousand, forty".