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421268153933124 = 22321312261132
BaseRepresentation
bin101111111001001000010001…
…0101010111001110101000100
32001020120211201222002020222100
41133302100202222321311010
5420204024134401324444
64051543530201032100
7154506422366355621
oct13762204252716504
92036524658066870
10421268153933124
11112257903503493
123b2b8710485630
131510a554c64964
1476056b777b348
1533a82411a7e69
hex17f2422ab9d44

421268153933124 has 81 divisors (see below), whose sum is σ = 1073104220526429. Its totient is φ = 139345452380160.

The previous prime is 421268153933113. The next prime is 421268153933161. The reversal of 421268153933124 is 421339351862124.

It is a happy number.

The square root of 421268153933124 is 20524818.

It is a perfect power (a square), and thus also a powerful number.

421268153933124 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 6 + 81 + 539 + 3 + 3 + 1 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 264847307256900 + 156420846676224 = 16274130^2 + 12506832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16132493892 + ... + 16132520004.

Almost surely, 2421268153933124 is an apocalyptic number.

421268153933124 is the 20524818-th square number.

It is an amenable number.

421268153933124 is an abundant number, since it is smaller than the sum of its proper divisors (651836066593305).

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

421268153933124 is an frugal number, since it uses more digits than its factorization.

421268153933124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52498 (or 26249 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 421268153933124 in words is "four hundred twenty-one trillion, two hundred sixty-eight billion, one hundred fifty-three million, nine hundred thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 786 1179 1572 2358 4716 17161 26113 34322 51483 52226 68644 78339 102966 104452 154449 156678 205932 235017 308898 313356 470034 617796 940068 3420803 6841606 10262409 13683212 20524818 30787227 41049636 61574454 123148908 448125193 681888769 896250386 1344375579 1363777538 1792500772 2045666307 2688751158 2727555076 4033126737 4091332614 5377502316 6136998921 8066253474 8182665228 12273997842 16132506948 24547995684 89327428739 178654857478 267982286217 357309714956 535964572434 803946858651 1071929144868 1607893717302 3215787434604 11701893164809 23403786329618 35105679494427 46807572659236 70211358988854 105317038483281 140422717977708 210634076966562 421268153933124