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378000458240 = 2951929893011
BaseRepresentation
bin1011000000000101001…
…01010100001000000000
31100010200111112212002212
411200002211110020000
522143121104130430
6445352341401252
736211126611206
oct5400245241000
91303614485085
10378000458240
1113634444a029
1261313709228
1329850919b02
141441c501076
159c7535ab95
hex5802954200

378000458240 has 320 divisors, whose sum is σ = 998333424000. Its totient is φ = 136703508480.

The previous prime is 378000458219. The next prime is 378000458263. The reversal of 378000458240 is 42854000873.

It is a tau number, because it is divible by the number of its divisors (320).

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, 125538335 + ... + 125541345.

It is an arithmetic number, because the mean of its divisors is an integer number (3119791950).

Almost surely, 2378000458240 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 378000458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499166712000).

378000458240 is an abundant number, since it is smaller than the sum of its proper divisors (620332965760).

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

378000458240 is a wasteful number, since it uses less digits than its factorization.

378000458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The spelling of 378000458240 in words is "three hundred seventy-eight billion, four hundred fifty-eight thousand, two hundred forty".