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4263201144 = 2332297612683
BaseRepresentation
bin1111111000011011…
…0100100101111000
3102000002222001112200
43332012310211320
532212334414034
61543011110200
7210434416566
oct37606644570
912002861480
104263201144
111898514134
129ab8a2360
1352c306a37
142c62a8a36
1519e415a99
hexfe1b4978

4263201144 has 96 divisors (see below), whose sum is σ = 11964466800. Its totient is φ = 1369751040.

The previous prime is 4263201139. The next prime is 4263201149. The reversal of 4263201144 is 4411023624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4263201139) and next prime (4263201149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4263201149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1587627 + ... + 1590309.

Almost surely, 24263201144 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 4263201144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5982233400).

4263201144 is an abundant number, since it is smaller than the sum of its proper divisors (7701265656).

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

4263201144 is a wasteful number, since it uses less digits than its factorization.

4263201144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4263201144 is about 65293.1937034788. The cubic root of 4263201144 is about 1621.4812880238.

Adding to 4263201144 its reverse (4411023624), we get a palindrome (8674224768).

The spelling of 4263201144 in words is "four billion, two hundred sixty-three million, two hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 761 1044 1522 2088 2283 2683 3044 4566 5366 6088 6849 8049 9132 10732 13698 16098 18264 21464 22069 24147 27396 32196 44138 48294 54792 64392 66207 77807 88276 96588 132414 155614 176552 193176 198621 233421 264828 311228 397242 466842 529656 622456 700263 794484 933684 1400526 1588968 1867368 2041763 2801052 4083526 5602104 6125289 8167052 12250578 16334104 18375867 24501156 36751734 49002312 59211127 73503468 118422254 147006936 177633381 236844508 355266762 473689016 532900143 710533524 1065800286 1421067048 2131600572 4263201144