Search a number
-
+
399134490624 = 2163571353
BaseRepresentation
bin1011100111011100100…
…01010000000000000000
31102011020100221221100000
411303232101100000000
523014411412144444
6503205421200000
740556632123032
oct5635621200000
91364210857300
10399134490624
111442aa0183a1
1265431400000
132b83b22c90c
1415465263c52
15a5b0931469
hex5cee450000

399134490624 has 408 divisors, whose sum is σ = 1216028503872. Its totient is φ = 130799370240.

The previous prime is 399134490551. The next prime is 399134490637. The reversal of 399134490624 is 426094431993.

399134490624 is a `hidden beast` number, since 3 + 9 + 9 + 1 + 3 + 4 + 4 + 9 + 0 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 1130692432 + ... + 1130692784.

Almost surely, 2399134490624 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 399134490624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608014251936).

399134490624 is an abundant number, since it is smaller than the sum of its proper divisors (816894013248).

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

399134490624 is an frugal number, since it uses more digits than its factorization.

399134490624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 399134490624 in words is "three hundred ninety-nine billion, one hundred thirty-four million, four hundred ninety thousand, six hundred twenty-four".