Search a number
-
+
2287275392142 = 23213214924120939
BaseRepresentation
bin100001010010001100001…
…111001011110010001110
322002122212011011211020200
4201102030033023302032
5244433320000022032
64510432041354330
7324151550022336
oct41221417136216
98078764154220
102287275392142
11802034369944
1230b357a989a6
131378c6084500
147c9c1a720c6
153e76d4d747c
hex2148c3cbc8e

2287275392142 has 144 divisors (see below), whose sum is σ = 5424990714000. Its totient is φ = 696119823360.

The previous prime is 2287275392137. The next prime is 2287275392153. The reversal of 2287275392142 is 2412935727822.

2287275392142 is a `hidden beast` number, since 2 + 2 + 87 + 2 + 7 + 539 + 21 + 4 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109224709 + ... + 109245647.

It is an arithmetic number, because the mean of its divisors is an integer number (37673546625).

Almost surely, 22287275392142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2287275392142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712495357000).

2287275392142 is an abundant number, since it is smaller than the sum of its proper divisors (3137715321858).

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

2287275392142 is a wasteful number, since it uses less digits than its factorization.

2287275392142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21363 (or 21347 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 2287275392142 in words is "two trillion, two hundred eighty-seven billion, two hundred seventy-five million, three hundred ninety-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 149 169 234 241 298 338 447 482 507 723 894 1014 1341 1446 1521 1937 2169 2682 3042 3133 3874 4338 5811 6266 9399 11622 17433 18798 20939 25181 28197 34866 35909 40729 41878 50362 56394 62817 71818 75543 81458 107727 122187 125634 151086 188451 215454 226629 244374 272207 323181 366561 376902 453258 466817 544414 646362 733122 816621 933634 1400451 1633242 2449863 2800902 3119911 3538691 4201353 4899726 5046299 6068621 6239822 7077382 8402706 9359733 10092598 10616073 12137242 15138897 18205863 18719466 21232146 28079199 30277794 31848219 36411726 40558843 45416691 54617589 56158398 63696438 65601887 81117686 90833382 109235178 121676529 131203774 196805661 243353058 365029587 393611322 527264959 590416983 730059174 751898551 852824531 1054529918 1180833966 1503797102 1581794877 1705649062 2255695653 2558473593 3163589754 4511391306 4745384631 5116947186 6767086959 7675420779 9490769262 9774681163 13534173918 15350841558 19549362326 29324043489 58648086978 87972130467 127070855119 175944260934 254141710238 381212565357 762425130714 1143637696071 2287275392142