Search a number
-
+
42366376400 = 2452372862593
BaseRepresentation
bin100111011101001110…
…111001100111010000
311001100120210220122212
4213131032321213100
51143231243021100
631243550251252
73026610154235
oct473516714720
9131316726585
1042366376400
1116a70795717
1282644b6b28
133cc23c7a9a
14209c99778c
15117e61a635
hex9dd3b99d0

42366376400 has 60 divisors (see below), whose sum is σ = 104536207692. Its totient is φ = 16488529920.

The previous prime is 42366376397. The next prime is 42366376411. The reversal of 42366376400 is 467366324.

It can be written as a sum of positive squares in 6 ways, for example, as 2593253776 + 39773122624 = 50924^2 + 199432^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1416497 + ... + 1446096.

Almost surely, 242366376400 is an apocalyptic number.

42366376400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42366376400 is an abundant number, since it is smaller than the sum of its proper divisors (62169831292).

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

42366376400 is a wasteful number, since it uses less digits than its factorization.

42366376400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862648 (or 2862637 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 41.

The spelling of 42366376400 in words is "forty-two billion, three hundred sixty-six million, three hundred seventy-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 148 185 200 296 370 400 592 740 925 1480 1850 2960 3700 7400 14800 2862593 5725186 11450372 14312965 22900744 28625930 45801488 57251860 71564825 105915941 114503720 143129650 211831882 229007440 286259300 423663764 529579705 572518600 847327528 1059159410 1145037200 1694655056 2118318820 2647898525 4236637640 5295797050 8473275280 10591594100 21183188200 42366376400