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402125223126336 = 263591012831241939
BaseRepresentation
bin101101101101110110001001…
…1000101000110010101000000
31221201210210111012111212221220
41123123230103011012111000
5410201404424110020321
63543125435514115040
7150462405620304363
oct13333542305062500
91851723435455856
10402125223126336
11107147393087736
123912668b71ba80
131434c32711b788
147142d70dc40da
1531752ee8de9c6
hex16dbb13146540

402125223126336 has 224 divisors, whose sum is σ = 1096564266201600. Its totient is φ = 130004082739200.

The previous prime is 402125223126317. The next prime is 402125223126397. The reversal of 402125223126336 is 633621322521204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323167255 + ... + 324409193.

It is an arithmetic number, because the mean of its divisors is an integer number (4895376188400).

Almost surely, 2402125223126336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402125223126336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548282133100800).

402125223126336 is an abundant number, since it is smaller than the sum of its proper divisors (694439043075264).

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

402125223126336 is a wasteful number, since it uses less digits than its factorization.

402125223126336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242397 (or 1242387 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 402125223126336 in words is "four hundred two trillion, one hundred twenty-five billion, two hundred twenty-three million, one hundred twenty-six thousand, three hundred thirty-six".