Search a number
-
+
641112714 = 2321143257293
BaseRepresentation
bin100110001101101…
…001101010001010
31122200100220022100
4212031221222022
52303111101324
6143341134230
721613240164
oct4615515212
91580326270
10641112714
112a9989520
1215a85a376
13a2a91a48
1461209934
153b43e4c9
hex26369a8a

641112714 has 96 divisors (see below), whose sum is σ = 1561944384. Its totient is φ = 188375040.

The previous prime is 641112697. The next prime is 641112761. The reversal of 641112714 is 417211146.

641112714 is a `hidden beast` number, since 641 + 1 + 1 + 2 + 7 + 14 = 666.

It is a super-2 number, since 2×6411127142 = 822051024104891592, which contains 22 as substring.

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, 2187952 + ... + 2188244.

It is an arithmetic number, because the mean of its divisors is an integer number (16270254).

Almost surely, 2641112714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641112714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780972192).

641112714 is an abundant number, since it is smaller than the sum of its proper divisors (920831670).

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

641112714 is a wasteful number, since it uses less digits than its factorization.

641112714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 609 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 641112714 is about 25320.2036721666. The cubic root of 641112714 is about 862.2730180277.

The spelling of 641112714 in words is "six hundred forty-one million, one hundred twelve thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 257 258 293 387 473 514 586 771 774 879 946 1419 1542 1758 2313 2637 2827 2838 3223 4257 4626 5274 5654 6446 8481 8514 9669 11051 12599 16962 19338 22102 25198 25443 29007 33153 37797 50886 58014 66306 75301 75594 99459 113391 121561 138589 150602 198918 225903 226782 243122 277178 364683 415767 451806 677709 729366 828311 831534 1094049 1247301 1355418 1656622 2188098 2484933 2494602 3237943 4969866 6475886 7454799 9713829 14909598 19427658 29141487 35617373 58282974 71234746 106852119 213704238 320556357 641112714