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23148408925440 = 283853118863
BaseRepresentation
bin1010100001101101010001…
…01100001110110100000000
310000221222002102022100000000
411100312220230032310000
511013230420141103230
6121122122100000000
74606263103232631
oct520665054166400
9100858072270000
1023148408925440
1174152043a7007
12271a397390000
13cbbb68863a46
145a0563495888
152a222366eb60
hex150da8b0ed00

23148408925440 has 648 divisors, whose sum is σ = 83444117073408. Its totient is φ = 6152366223360.

The previous prime is 23148408925429. The next prime is 23148408925451. The reversal of 23148408925440 is 4452980484132.

23148408925440 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 8 + 4 + 0 + 8 + 92 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23148408925429) and next prime (23148408925451).

It is a tau number, because it is divible by the number of its divisors (648).

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 71 ways as a sum of consecutive naturals, for example, 2611798449 + ... + 2611807311.

Almost surely, 223148408925440 is an apocalyptic number.

23148408925440 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 23148408925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41722058536704).

23148408925440 is an abundant number, since it is smaller than the sum of its proper divisors (60295708147968).

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

23148408925440 is an frugal number, since it uses more digits than its factorization.

23148408925440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9219 (or 9184 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 23148408925440 in words is "twenty-three trillion, one hundred forty-eight billion, four hundred eight million, nine hundred twenty-five thousand, four hundred forty".