Search a number
-
+
400014412332448 = 25231373967137539
BaseRepresentation
bin101101011110011111001110…
…0111100111011110110100000
31221110100000010011121110111111
41122330332130330323312200
5404412314004024114243
63534432030101153104
7150154042016505304
oct13274763474736640
91843300104543444
10400014412332448
11106503183453351
1238a455813bb794
13142282743c8614
1470acb2d7b5d04
15313a45d55e39d
hex16bcf9cf3bda0

400014412332448 has 48 divisors (see below), whose sum is σ = 827767050546240. Its totient is φ = 189914808219136.

The previous prime is 400014412332373. The next prime is 400014412332449. The reversal of 400014412332448 is 844233214410004.

It is a self number, because there is not a number n which added to its sum of digits gives 400014412332448.

It is not an unprimeable number, because it can be changed into a prime (400014412332449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1983467938 + ... + 1983669601.

It is an arithmetic number, because the mean of its divisors is an integer number (17245146886380).

Almost surely, 2400014412332448 is an apocalyptic number.

It is an amenable number.

400014412332448 is an abundant number, since it is smaller than the sum of its proper divisors (427752638213792).

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

400014412332448 is a wasteful number, since it uses less digits than its factorization.

400014412332448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3967137709 (or 3967137701 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The spelling of 400014412332448 in words is "four hundred trillion, fourteen billion, four hundred twelve million, three hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 137 184 274 368 548 736 1096 2192 3151 4384 6302 12604 25208 50416 100832 3967137539 7934275078 15868550156 31737100312 63474200624 91244163397 126948401248 182488326794 364976653588 543497842843 729953307176 1086995685686 1459906614352 2173991371372 2919813228704 4347982742744 8695965485488 12500450385389 17391930970976 25000900770778 50001801541556 100003603083112 200007206166224 400014412332448