Search a number
-
+
42002013040 = 24513231755937
BaseRepresentation
bin100111000111100000…
…111101101101110000
311000102012012100002121
4213013200331231300
51142010003404130
631143452524024
73014564135341
oct470740755560
9130365170077
1042002013040
11168a4050079
128182480614
133c64a82c70
14206642c0c8
15115c645d7a
hex9c783db70

42002013040 has 80 divisors (see below), whose sum is σ = 109739101248. Its totient is φ = 14834147328.

The previous prime is 42002013037. The next prime is 42002013041. The reversal of 42002013040 is 4031020024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42002013041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 854049 + ... + 901888.

Almost surely, 242002013040 is an apocalyptic number.

42002013040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42002013040 is an abundant number, since it is smaller than the sum of its proper divisors (67737088208).

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

42002013040 is a wasteful number, since it uses less digits than its factorization.

42002013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755986 (or 1755980 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 42002013040 its reverse (4031020024), we get a palindrome (46033033064).

The spelling of 42002013040 in words is "forty-two billion, two million, thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 920 1040 1196 1495 1840 2392 2990 4784 5980 11960 23920 1755937 3511874 7023748 8779685 14047496 17559370 22827181 28094992 35118740 40386551 45654362 70237480 80773102 91308724 114135905 140474960 161546204 182617448 201932755 228271810 323092408 365234896 403865510 456543620 525025163 646184816 807731020 913087240 1050050326 1615462040 1826174480 2100100652 2625125815 3230924080 4200201304 5250251630 8400402608 10500503260 21001006520 42002013040