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399719314944 = 2933412103167
BaseRepresentation
bin1011101000100010010…
…00001011011000000000
31102012202010102002111000
411310101020023120000
523022111121034234
6503343432052000
740610263055145
oct5642110133000
91365663362430
10399719314944
1114457a150584
1265575234000
132b902443c01
14154bcbba3cc
15a5e6e52899
hex5d1120b600

399719314944 has 480 divisors, whose sum is σ = 1231866155520. Its totient is φ = 127957155840.

The previous prime is 399719314933. The next prime is 399719314961. The reversal of 399719314944 is 449413917993.

399719314944 is a `hidden beast` number, since 399 + 7 + 193 + 14 + 9 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2393528749 + ... + 2393528915.

It is an arithmetic number, because the mean of its divisors is an integer number (2566387824).

Almost surely, 2399719314944 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 399719314944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615933077760).

399719314944 is an abundant number, since it is smaller than the sum of its proper divisors (832146840576).

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

399719314944 is a wasteful number, since it uses less digits than its factorization.

399719314944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 316 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 63.

The spelling of 399719314944 in words is "three hundred ninety-nine billion, seven hundred nineteen million, three hundred fourteen thousand, nine hundred forty-four".