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445755133400430 = 23574578595407141
BaseRepresentation
bin110010101011010010111010…
…0011000100001010101101110
32011110021202220200000120210010
41211112211310120201111232
5431411223003122303210
64220013025321154050
7162614513514530520
oct14526456430412556
92143252820016703
10445755133400430
1111a038765aa0667
1241bb23b832b926
13161956b4781469
147c10940ba9a10
1536801a99c1920
hex195697462156e

445755133400430 has 128 divisors (see below), whose sum is σ = 1226744692392960. Its totient is φ = 101545570114560.

The previous prime is 445755133400411. The next prime is 445755133400453. The reversal of 445755133400430 is 34004331557544.

It is a self number, because there is not a number n which added to its sum of digits gives 445755133400430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79734660 + ... + 85141800.

It is an arithmetic number, because the mean of its divisors is an integer number (9583942909320).

Almost surely, 2445755133400430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445755133400430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613372346196480).

445755133400430 is an abundant number, since it is smaller than the sum of its proper divisors (780989558992530).

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

445755133400430 is a wasteful number, since it uses less digits than its factorization.

445755133400430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5408474.

The product of its (nonzero) digits is 6048000, while the sum is 48.

Adding to 445755133400430 its reverse (34004331557544), we get a palindrome (479759464957974).

The spelling of 445755133400430 in words is "four hundred forty-five trillion, seven hundred fifty-five billion, one hundred thirty-three million, four hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 457 859 914 1371 1718 2285 2577 2742 3199 4295 4570 5154 6013 6398 6855 8590 9597 12026 12885 13710 15995 18039 19194 25770 30065 31990 36078 47985 60130 90195 95970 180390 392563 785126 1177689 1962815 2355378 2747941 3925630 5407141 5495882 5888445 8243823 10814282 11776890 13739705 16221423 16487646 27035705 27479410 32442846 37849987 41219115 54071410 75699974 81107115 82438230 113549961 162214230 189249935 227099922 378499870 567749805 1135499610 2471063437 4644734119 4942126874 7413190311 9289468238 12355317185 13934202357 14826380622 17297444059 23223670595 24710634370 27868404714 32513138833 34594888118 37065951555 46447341190 51892332177 65026277666 69671011785 74131903110 86487220295 97539416499 103784664354 139342023570 162565694165 172974440590 195078832998 259461660885 325131388330 487697082495 518923321770 975394164990 2122643492383 4245286984766 6367930477149 10613217461915 12735860954298 14858504446681 21226434923830 29717008893362 31839652385745 44575513340043 63679304771490 74292522233405 89151026680086 148585044466810 222877566700215 445755133400430