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133312432032444 = 223719967311850133
BaseRepresentation
bin11110010011111100111000…
…001001111100101010111100
3122111000112200121021021102010
4132103330320021330222330
5114433142330100014234
61151310515200131220
740036335225341610
oct3623747011745274
9574015617237363
10133312432032444
1139528537486185
1212b50a13906b10
135950401723bb2
1424cc4db357340
151062b67b0b6e9
hex793f3827cabc

133312432032444 has 96 divisors (see below), whose sum is σ = 357817166156800. Its totient is φ = 37841547921408.

The previous prime is 133312432032427. The next prime is 133312432032463. The reversal of 133312432032444 is 444230234213331.

It is a super-2 number, since 2×1333124320324442 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 5324802 + ... + 17174934.

Almost surely, 2133312432032444 is an apocalyptic number.

133312432032444 is a gapful number since it is divisible by the number (14) 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 133312432032444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178908583078400).

133312432032444 is an abundant number, since it is smaller than the sum of its proper divisors (224504734124356).

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

133312432032444 is a wasteful number, since it uses less digits than its factorization.

133312432032444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11851019 (or 11851017 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 39.

Adding to 133312432032444 its reverse (444230234213331), we get a palindrome (577542666245775).

The spelling of 133312432032444 in words is "one hundred thirty-three trillion, three hundred twelve billion, four hundred thirty-two million, thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 199 398 597 673 796 1194 1346 1393 2019 2388 2692 2786 4038 4179 4711 5572 8076 8358 9422 14133 16716 18844 28266 56532 133927 267854 401781 535708 803562 937489 1607124 1874978 2812467 3749956 5624934 11249868 11850133 23700266 35550399 47400532 71100798 82950931 142201596 165901862 248852793 331803724 497705586 995411172 2358176467 4716352934 7074529401 7975139509 9432705868 14149058802 15950279018 16507235269 23925418527 28298117604 31900558036 33014470538 47850837054 49521705807 55825976563 66028941076 95701674108 99043411614 111651953126 167477929689 198086823228 223303906252 334955859378 669911718756 1587052762291 3174105524582 4761158286873 6348211049164 9522316573746 11109369336037 19044633147492 22218738672074 33328108008111 44437477344148 66656216016222 133312432032444