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3401132044224 = 263192712734369
BaseRepresentation
bin110001011111100011010…
…001000110111111000000
3110001010220201222110011210
4301133203101012333000
5421211004300403344
611122243011210120
7500503136242425
oct61374321067700
913033821873153
103401132044224
1110a145940a712
1246b1b42a6940
131b895785b4a5
14ba889579d4c
155d710702db9
hex317e3446fc0

3401132044224 has 112 divisors (see below), whose sum is σ = 9473075897600. Its totient is φ = 1073970855936.

The previous prime is 3401132044207. The next prime is 3401132044249. The reversal of 3401132044224 is 4224402311043.

3401132044224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3401132044191 and 3401132044200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98942112 + ... + 98976480.

It is an arithmetic number, because the mean of its divisors is an integer number (84581034800).

Almost surely, 23401132044224 is an apocalyptic number.

It is an amenable number.

3401132044224 is an abundant number, since it is smaller than the sum of its proper divisors (6071943853376).

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

3401132044224 is a wasteful number, since it uses less digits than its factorization.

3401132044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61530 (or 61520 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 3401132044224 its reverse (4224402311043), we get a palindrome (7625534355267).

The spelling of 3401132044224 in words is "three trillion, four hundred one billion, one hundred thirty-two million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 27127 34369 54254 68738 81381 103107 108508 137476 162762 206214 217016 274952 325524 412428 434032 515413 549904 651048 653011 824856 868064 1030826 1099808 1302096 1306022 1546239 1649712 1736128 1959033 2061652 2199616 2604192 2612044 3092478 3299424 3918066 4123304 5208384 5224088 6184956 6598848 7836132 8246608 10448176 12369912 15672264 16493216 20896352 24739824 31344528 32986432 41792704 49479648 62689056 98959296 125378112 932327863 1864655726 2796983589 3729311452 5593967178 7458622904 11187934356 14917245808 17714229397 22375868712 29834491616 35428458794 44751737424 53142688191 59668983232 70856917588 89503474848 106285376382 141713835176 179006949696 212570752764 283427670352 425141505528 566855340704 850283011056 1133710681408 1700566022112 3401132044224