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4243405041432 = 2332732832852809
BaseRepresentation
bin111101101111111110101…
…001100110111100011000
3120000122222012012221122200
4331233332221212330120
51024010443142311212
613005220544450200
7615401350503324
oct75577651467430
916018865187580
104243405041432
11139668857a937
12586497919960
1324a1c776987b
1410954bd0c984
15755a9d176dc
hex3dbfea66f18

4243405041432 has 96 divisors (see below), whose sum is σ = 11691157717200. Its totient is φ = 1390161927168.

The previous prime is 4243405041377. The next prime is 4243405041443. The reversal of 4243405041432 is 2341405043424.

4243405041432 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 4 + 0 + 504 + 143 + 2 = 666.

It is a super-2 number, since 2×42434050414322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61044 + ... + 2913852.

Almost surely, 24243405041432 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 4243405041432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5845578858600).

4243405041432 is an abundant number, since it is smaller than the sum of its proper divisors (7447752675768).

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

4243405041432 is a wasteful number, since it uses less digits than its factorization.

4243405041432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853177 (or 2853170 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 4243405041432 in words is "four trillion, two hundred forty-three billion, four hundred five million, forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 283 292 438 566 584 657 849 876 1132 1314 1698 1752 2264 2547 2628 3396 5094 5256 6792 10188 20376 20659 41318 61977 82636 123954 165272 185931 247908 371862 495816 743724 1487448 2852809 5705618 8558427 11411236 17116854 22822472 25675281 34233708 51350562 68467416 102701124 205402248 208255057 416510114 624765171 807344947 833020228 1249530342 1614689894 1666040456 1874295513 2422034841 2499060684 3229379788 3748591026 4844069682 4998121368 6458759576 7266104523 7497182052 9688139364 14532209046 14994364104 19376278728 29064418092 58128836184 58936181131 117872362262 176808543393 235744724524 353617086786 471489449048 530425630179 707234173572 1060851260358 1414468347144 2121702520716 4243405041432