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12362354016144 = 243111931371074361
BaseRepresentation
bin1011001111100101010110…
…1110000011111110010000
31121202211101201002100100220
42303321111232003332100
53110021100112004034
642143104222113040
72414102441226366
oct263712556037620
947684351070326
1012362354016144
113a36932613350
121477aa741b780
136b89c3883c22
1430a4ac0a3636
1516688e823749
hexb3e55b83f90

12362354016144 has 320 divisors, whose sum is σ = 38879183953920. Its totient is φ = 3341689344000.

The previous prime is 12362354016073. The next prime is 12362354016169. The reversal of 12362354016144 is 44161045326321.

It is a junction number, because it is equal to n+sod(n) for n = 12362354016096 and 12362354016105.

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, 10969524 + ... + 12043884.

It is an arithmetic number, because the mean of its divisors is an integer number (121497449856).

Almost surely, 212362354016144 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 12362354016144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19439591976960).

12362354016144 is an abundant number, since it is smaller than the sum of its proper divisors (26516829937776).

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

12362354016144 is a wasteful number, since it uses less digits than its factorization.

12362354016144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074470 (or 1074464 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 12362354016144 in words is "twelve trillion, three hundred sixty-two billion, three hundred fifty-four million, sixteen thousand, one hundred forty-four".