Search a number
-
+
4255830014580 = 22325313929194119
BaseRepresentation
bin111101111011100011001…
…111000111101001110100
3120001212001002222222120100
4331323203033013221310
51024211414440431310
613015033515034100
7616321302152664
oct75734317075164
916055032888510
104255830014580
1113a0984104091
12588984a3b930
1324b4279778a1
14109daa1521a4
1575a85a30ec0
hex3dee33c7a74

4255830014580 has 144 divisors (see below), whose sum is σ = 13329242035200. Its totient is φ = 1097993525760.

The previous prime is 4255830014551. The next prime is 4255830014603. The reversal of 4255830014580 is 854100385524.

4255830014580 is a `hidden beast` number, since 4 + 2 + 5 + 58 + 3 + 0 + 0 + 14 + 580 = 666.

It is a super-2 number, since 2×42558300145802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21826761 + ... + 22020879.

It is an arithmetic number, because the mean of its divisors is an integer number (92564180800).

Almost surely, 24255830014580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4255830014580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6664621017600).

4255830014580 is an abundant number, since it is smaller than the sum of its proper divisors (9073412020620).

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

4255830014580 is a wasteful number, since it uses less digits than its factorization.

4255830014580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198094 (or 198089 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 4255830014580 in words is "four trillion, two hundred fifty-five billion, eight hundred thirty million, fourteen thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 3929 5580 7858 11787 15716 19645 23574 35361 39290 47148 58935 70722 78580 117870 121799 141444 176805 194119 235740 243598 353610 365397 388238 487196 582357 608995 707220 730794 776476 970595 1096191 1164714 1217990 1461588 1747071 1826985 1941190 2192382 2329428 2435980 2911785 3494142 3653970 3882380 4384764 5480955 5823570 6017689 6988284 7307940 8735355 10961910 11647140 12035378 17470710 18053067 21923820 24070756 30088445 34941420 36106134 54159201 60176890 72212268 90265335 108318402 120353780 180530670 216636804 270796005 361061340 541592010 762693551 1083184020 1525387102 2288080653 3050774204 3813467755 4576161306 6864241959 7626935510 9152322612 11440403265 13728483918 15253871020 22880806530 23643500081 27456967836 34321209795 45761613060 47287000162 68642419590 70930500243 94574000324 118217500405 137284839180 141861000486 212791500729 236435000810 283722000972 354652501215 425583001458 472870001620 709305002430 851166002916 1063957503645 1418610004860 2127915007290 4255830014580