Search a number
-
+
43244211244234 = 271113149557260269
BaseRepresentation
bin10011101010100100100111…
…10110011000110011001010
312200010002212102201212211011
421311102103312120303022
521132003121034303414
6231550041050154134
712052201603450450
oct1165222366306312
9180102772655734
1043244211244234
1112862848967120
124a25026a2294a
131b18bb0ab0a80
14a970610829d0
154eed33e6cdc4
hex275493d98cca

43244211244234 has 128 divisors (see below), whose sum is σ = 87835503168000. Its totient is φ = 15420191892480.

The previous prime is 43244211244229. The next prime is 43244211244361.

43244211244234 is nontrivially palindromic in base 10.

43244211244234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×432442112442342 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166021852 + ... + 166282120.

It is an arithmetic number, because the mean of its divisors is an integer number (686214868500).

Almost surely, 243244211244234 is an apocalyptic number.

43244211244234 is an abundant number, since it is smaller than the sum of its proper divisors (44591291923766).

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

43244211244234 is a wasteful number, since it uses less digits than its factorization.

43244211244234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261008.

The product of its digits is 589824, while the sum is 40.

It can be divided in two parts, 4324421 and 1244234, that added together give a palindrome (5568655).

The spelling of 43244211244234 in words is "forty-three trillion, two hundred forty-four billion, two hundred eleven million, two hundred forty-four thousand, two hundred thirty-four".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 149 154 182 286 298 557 1001 1043 1114 1639 1937 2002 2086 3278 3874 3899 6127 7241 7798 11473 12254 13559 14482 21307 22946 27118 42614 42889 50687 79651 82993 85778 101374 149149 159302 165986 260269 298298 520538 557557 580951 912923 1078909 1115114 1161902 1821883 1825846 2157818 2862959 3383497 3643766 5725918 6390461 6766994 7552363 11867999 12780922 15104726 20040713 23684479 23735998 37218467 38780081 40081426 47368958 74436934 77560162 83075993 144969833 166151986 260529269 271460567 289939666 426580891 504141053 521058538 542921134 853161782 1008282106 1014788831 1594668163 1884607829 2029577662 2986066237 3189336326 3528987371 3769215658 5545551583 5972132474 7057974742 11091103166 11162677141 13192254803 20730686119 21600505117 22325354282 26384509606 38818861081 41461372238 43201010234 77637722162 145114802833 151203535819 237605556287 280806566521 290229605666 302407071638 475211112574 561613133042 1663238894009 1965645965647 3088872231731 3326477788018 3931291931294 6177744463462 21622105622117 43244211244234