Search a number
-
+
421335533124 = 2232112421722937
BaseRepresentation
bin1100010000110011000…
…11100000011001000100
31111021112121010202021100
412020121203200121010
523400343344024444
6521320414420100
742304041640332
oct6103143403104
91437477122240
10421335533124
11152761a19200
12697a8501630
133096891255c
141656d9b8b52
15ae5ea22e69
hex62198e0644

421335533124 has 108 divisors (see below), whose sum is σ = 1170995313852. Its totient is φ = 127641592320.

The previous prime is 421335533089. The next prime is 421335533131.

421335533124 is a `hidden beast` number, since 4 + 2 + 1 + 335 + 5 + 3 + 312 + 4 = 666.

421335533124 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 248171356224 + 173164176900 = 498168^2 + 416130^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18357784 + ... + 18380720.

Almost surely, 2421335533124 is an apocalyptic number.

421335533124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421335533124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585497656926).

421335533124 is an abundant number, since it is smaller than the sum of its proper divisors (749659780728).

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

421335533124 is a wasteful number, since it uses less digits than its factorization.

421335533124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27186 (or 27170 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

It can be divided in two parts, 421335 and 533124, that added together give a palindrome (954459).

The spelling of 421335533124 in words is "four hundred twenty-one billion, three hundred thirty-five million, five hundred thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4217 4356 8434 12651 16868 22937 25302 37953 45874 46387 50604 68811 75906 91748 92774 137622 139161 151812 185548 206433 252307 275244 278322 412866 417483 504614 510257 556644 756921 825732 834966 1009228 1020514 1513842 1530771 1669932 2041028 2270763 2775377 3027684 3061542 4541526 4592313 5550754 6123084 8326131 9083052 9184626 11101508 16652262 18369252 24978393 33304524 49956786 96725329 99913572 193450658 290175987 386901316 580351974 870527961 1063978619 1160703948 1741055922 2127957238 3191935857 3482111844 4255914476 6383871714 9575807571 11703764809 12767743428 19151615142 23407529618 35111294427 38303230284 46815059236 70222588854 105333883281 140445177708 210667766562 421335533124