Search a number
-
+
421426411020 = 2232515227153757
BaseRepresentation
bin1100010000111101111…
…10001011011000001100
31111021202221010211022100
412020132332023120030
523401040130123040
6521333422315100
742306224250426
oct6103676133014
91437687124270
10421426411020
111527a924a0aa
1269812a28a90
13309816b0c64
141657bab3816
15ae679c4b30
hex621ef8b60c

421426411020 has 72 divisors (see below), whose sum is σ = 1278419045904. Its totient is φ = 112372265088.

The previous prime is 421426411013. The next prime is 421426411027. The reversal of 421426411020 is 20114624124.

421426411020 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 2 + 641 + 10 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (421426411013) and next prime (421426411027).

It is not an unprimeable number, because it can be changed into a prime (421426411027) 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 23 ways as a sum of consecutive naturals, for example, 2663982 + ... + 2817738.

It is an arithmetic number, because the mean of its divisors is an integer number (17755820082).

Almost surely, 2421426411020 is an apocalyptic number.

It is an amenable number.

421426411020 is an abundant number, since it is smaller than the sum of its proper divisors (856992634884).

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

421426411020 is a wasteful number, since it uses less digits than its factorization.

421426411020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168999 (or 168994 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 421426411020 in words is "four hundred twenty-one billion, four hundred twenty-six million, four hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 15227 30454 45681 60908 76135 91362 137043 152270 153757 182724 228405 274086 304540 307514 456810 461271 548172 615028 685215 768785 913620 922542 1370430 1383813 1537570 1845084 2306355 2740860 2767626 3075140 4612710 5535252 6919065 9225420 13838130 27676260 2341257839 4682515678 7023773517 9365031356 11706289195 14047547034 21071320551 23412578390 28095094068 35118867585 42142641102 46825156780 70237735170 84285282204 105356602755 140475470340 210713205510 421426411020