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420441102312 = 233711415549059
BaseRepresentation
bin1100001111001000011…
…11100001011111101000
31111012020021002221212020
412013210033201133220
523342030410233222
6521051543544440
742242631255330
oct6074417413750
91435207087766
10420441102312
11152343050090
1269598a5b120
1330855518a5a
14164c6cac0c0
15ae0b24665c
hex61e43e17e8

420441102312 has 128 divisors (see below), whose sum is σ = 1342428595200. Its totient is φ = 106541913600.

The previous prime is 420441102283. The next prime is 420441102329. The reversal of 420441102312 is 213201144024.

420441102312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2698762 + ... + 2850297.

It is an arithmetic number, because the mean of its divisors is an integer number (10487723400).

Almost surely, 2420441102312 is an apocalyptic number.

420441102312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

420441102312 is an abundant number, since it is smaller than the sum of its proper divisors (921987492888).

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

420441102312 is a wasteful number, since it uses less digits than its factorization.

420441102312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5549127 (or 5549123 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 420441102312 its reverse (213201144024), we get a palindrome (633642246336).

It can be divided in two parts, 420441 and 102312, that added together give a triangular number (522753 = T1022).

The spelling of 420441102312 in words is "four hundred twenty billion, four hundred forty-one million, one hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 41 42 44 56 66 77 82 84 88 123 132 154 164 168 231 246 264 287 308 328 451 462 492 574 616 861 902 924 984 1148 1353 1722 1804 1848 2296 2706 3157 3444 3608 5412 6314 6888 9471 10824 12628 18942 25256 37884 75768 5549059 11098118 16647177 22196236 33294354 38843413 44392472 61039649 66588708 77686826 116530239 122079298 133177416 155373652 183118947 227511419 233060478 244158596 310747304 366237894 427277543 455022838 466120956 488317192 682534257 732475788 854555086 910045676 932241912 1281832629 1365068514 1464951576 1592579933 1709110172 1820091352 2502625609 2563665258 2730137028 3185159866 3418220344 4777739799 5005251218 5127330516 5460274056 6370319732 7507876827 9555479598 10010502436 10254661032 12740639464 15015753654 17518379263 19110959196 20021004872 30031507308 35036758526 38221918392 52555137789 60063014616 70073517052 105110275578 140147034104 210220551156 420441102312