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23988281357040 = 243571113296615209
BaseRepresentation
bin1010111010001001101001…
…11111010011001011110000
310010221020221120110110112120
411131010310333103023300
511121011000011411130
6123004021520554240
75024044655143140
oct535046477231360
9103836846413476
1023988281357040
1177094114a8810
12283510aa82980
131050115318bc0
145cd07909c920
152b8ecc14a910
hex15d134fd32f0

23988281357040 has 1280 divisors, whose sum is σ = 103463977881600. Its totient is φ = 4434916147200.

The previous prime is 23988281357023. The next prime is 23988281357087. The reversal of 23988281357040 is 4075318288932.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4605157956 + ... + 4605163164.

It is an arithmetic number, because the mean of its divisors is an integer number (80831232720).

Almost surely, 223988281357040 is an apocalyptic number.

23988281357040 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 23988281357040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51731988940800).

23988281357040 is an abundant number, since it is smaller than the sum of its proper divisors (79475696524560).

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

23988281357040 is a wasteful number, since it uses less digits than its factorization.

23988281357040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5946 (or 5940 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 23988281357040 in words is "twenty-three trillion, nine hundred eighty-eight billion, two hundred eighty-one million, three hundred fifty-seven thousand, forty".