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4428140225520 = 2435119722975511
BaseRepresentation
bin100000001110000000110…
…1110011010001111110000
3120200022210201001122022210
41000130001232122033300
51040022312344204040
613230132020532120
7634631304611004
oct100340156321760
916608721048283
104428140225520
111457a667969a0
125b6253251040
1326175841069b
14114474954704
157a2bd0b8480
hex40701b9a3f0

4428140225520 has 320 divisors, whose sum is σ = 15195817405440. Its totient is φ = 1057768243200.

The previous prime is 4428140225497. The next prime is 4428140225557. The reversal of 4428140225520 is 255220418244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58604565 + ... + 58680075.

It is an arithmetic number, because the mean of its divisors is an integer number (47486929392).

Almost surely, 24428140225520 is an apocalyptic number.

4428140225520 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 4428140225520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7597908702720).

4428140225520 is an abundant number, since it is smaller than the sum of its proper divisors (10767677179920).

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

4428140225520 is a wasteful number, since it uses less digits than its factorization.

4428140225520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75864 (or 75858 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 39.

The spelling of 4428140225520 in words is "four trillion, four hundred twenty-eight billion, one hundred forty million, two hundred twenty-five thousand, five hundred twenty".