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4240056967920 = 2434517211182417
BaseRepresentation
bin111101101100110111000…
…101101110001011110000
3120000100022212020012020000
4331230313011232023300
51023432114040433140
613003504423550000
7615222364366134
oct75546705561360
916010285205200
104240056967920
11139521a690734
125859025bb300
13249ab2c24c97
141093113bb3c4
1575460e1aa30
hex3db3716e2f0

4240056967920 has 400 divisors, whose sum is σ = 15666586122528. Its totient is φ = 1059121889280.

The previous prime is 4240056967891. The next prime is 4240056967933. The reversal of 4240056967920 is 297696500424.

4240056967920 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 0 + 569 + 6 + 79 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23152552 + ... + 23334968.

Almost surely, 24240056967920 is an apocalyptic number.

4240056967920 is a gapful number since it is divisible by the number (40) 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 4240056967920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7833293061264).

4240056967920 is an abundant number, since it is smaller than the sum of its proper divisors (11426529154608).

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

4240056967920 is a wasteful number, since it uses less digits than its factorization.

4240056967920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182670 (or 182655 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 4240056967920 in words is "four trillion, two hundred forty billion, fifty-six million, nine hundred sixty-seven thousand, nine hundred twenty".