Search a number
-
+
408400444416 = 2103132942853
BaseRepresentation
bin1011111000101101001…
…00000011110000000000
31110001011010111011100210
411330112210003300000
523142401003210131
6511341102514120
741335354333416
oct5742644036000
91401133434323
10408400444416
11148224449648
1267198595940
132c686b1a103
1415aa3b092b6
15a954144146
hex5f16903c00

408400444416 has 44 divisors (see below), whose sum is σ = 1088536088552. Its totient is φ = 136133480448.

The previous prime is 408400444301. The next prime is 408400444423. The reversal of 408400444416 is 614444004804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66468355 + ... + 66474498.

It is an arithmetic number, because the mean of its divisors is an integer number (24739456558).

Almost surely, 2408400444416 is an apocalyptic number.

It is an amenable number.

408400444416 is an abundant number, since it is smaller than the sum of its proper divisors (680135644136).

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

408400444416 is a wasteful number, since it uses less digits than its factorization.

408400444416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132942876 (or 132942858 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 39.

The spelling of 408400444416 in words is "four hundred eight billion, four hundred million, four hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 132942853 265885706 398828559 531771412 797657118 1063542824 1595314236 2127085648 3190628472 4254171296 6381256944 8508342592 12762513888 17016685184 25525027776 34033370368 51050055552 68066740736 102100111104 136133481472 204200222208 408400444416