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2264313603144 = 2331723241295141
BaseRepresentation
bin100000111100110011100…
…110111010010001001000
322000110120220112002022010
4200330303212322101020
5244044303240300034
64452113350455520
7322406542030155
oct40746346722110
98013526462263
102264313603144
117a3320aa8a1a
12306a0a0645a0
131356a6bb3808
147b84428d22c
153dd777243e9
hex20f339ba448

2264313603144 has 64 divisors (see below), whose sum is σ = 6254370080640. Its totient is φ = 679487114240.

The previous prime is 2264313603143. The next prime is 2264313603191. The reversal of 2264313603144 is 4413063134622.

It is not an unprimeable number, because it can be changed into a prime (2264313603143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 120638187 + ... + 120656954.

It is an arithmetic number, because the mean of its divisors is an integer number (97724532510).

Almost surely, 22264313603144 is an apocalyptic number.

2264313603144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2264313603144 is an abundant number, since it is smaller than the sum of its proper divisors (3990056477496).

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

2264313603144 is a wasteful number, since it uses less digits than its factorization.

2264313603144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241295190 (or 241295186 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

Adding to 2264313603144 its reverse (4413063134622), we get a palindrome (6677376737766).

The spelling of 2264313603144 in words is "two trillion, two hundred sixty-four billion, three hundred thirteen million, six hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 782 1173 1564 2346 3128 4692 9384 241295141 482590282 723885423 965180564 1447770846 1930361128 2895541692 4102017397 5549788243 5791083384 8204034794 11099576486 12306052191 16408069588 16649364729 22199152972 24612104382 32816139176 33298729458 44398305944 49224208764 66597458916 94346400131 98448417528 133194917832 188692800262 283039200393 377385600524 566078400786 754771201048 1132156801572 2264313603144