Search a number
-
+
399944937744 = 243411215972
BaseRepresentation
bin1011101000111101001…
…00110111000100010000
31102020022211221220210000
411310132210313010100
523023041401001434
6503422052010000
740616002610442
oct5643644670420
91366284856700
10399944937744
11144685544300
1265618900900
132b93a0cca21
1415500b4c492
15a60bb6db99
hex5d1e937110

399944937744 has 225 divisors, whose sum is σ = 1273152908181. Its totient is φ = 121119546240.

The previous prime is 399944937713. The next prime is 399944937757. The reversal of 399944937744 is 447739449993.

The square root of 399944937744 is 632412.

It is a perfect power (a square), and thus also a powerful number.

399944937744 is a `hidden beast` number, since 3 + 9 + 9 + 94 + 493 + 7 + 7 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80168259600 + 319776678144 = 283140^2 + 565488^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 250434354 + ... + 250435950.

Almost surely, 2399944937744 is an apocalyptic number.

399944937744 is the 632412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399944937744

399944937744 is an abundant number, since it is smaller than the sum of its proper divisors (873207970437).

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

399944937744 is an equidigital number, since it uses as much as digits as its factorization.

399944937744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236 (or 1613 counting only the distinct ones).

The product of its digits is 740710656, while the sum is 72.

The spelling of 399944937744 in words is "three hundred ninety-nine billion, nine hundred forty-four million, nine hundred thirty-seven thousand, seven hundred forty-four".