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244305325325412 = 2232135877069125803
BaseRepresentation
bin110111100011000111000100…
…001000011111110001100100
31012001000100202011201100200200
4313203013010020133301210
5224010144301240403122
62223332152253110500
7102313322465003151
oct6743070410376144
91161010664640620
10244305325325412
117093034113506a
1223498013188430
13a641b7c8366a0
144448625929228
151d39e1ebde5ac
hexde31c421fc64

244305325325412 has 144 divisors (see below), whose sum is σ = 666285892359360. Its totient is φ = 75031597741824.

The previous prime is 244305325325407. The next prime is 244305325325431. The reversal of 244305325325412 is 214523523503442.

It is a happy number.

244305325325412 is a `hidden beast` number, since 2 + 4 + 4 + 3 + 0 + 53 + 2 + 53 + 2 + 541 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1941904503 + ... + 1942030305.

Almost surely, 2244305325325412 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 244305325325412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333142946179680).

244305325325412 is an abundant number, since it is smaller than the sum of its proper divisors (421980567033948).

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

244305325325412 is a wasteful number, since it uses less digits than its factorization.

244305325325412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133482 (or 133477 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 244305325325412 its reverse (214523523503442), we get a palindrome (458828848828854).

The spelling of 244305325325412 in words is "two hundred forty-four trillion, three hundred five billion, three hundred twenty-five million, three hundred twenty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 587 1174 1761 2348 3522 5283 7044 7069 7631 10566 14138 15262 21132 21207 22893 28276 30524 42414 45786 63621 68679 84828 91572 91897 125803 127242 137358 183794 251606 254484 274716 275691 367588 377409 503212 551382 754818 827073 1102764 1132227 1509636 1635439 1654146 2264454 3270878 3308292 4149503 4528908 4906317 6541756 8299006 9812634 12448509 14718951 16598012 19625268 24897018 29437902 37345527 49794036 53943539 58875804 73846361 74691054 107887078 147692722 149382108 161830617 215774156 221539083 295385444 323661234 443078166 485491851 647322468 664617249 886156332 889301407 960002693 970983702 1329234498 1778602814 1920005386 1941967404 2658468996 2667904221 2880008079 3557205628 3840010772 5335808442 5760016158 8003712663 8640024237 10671616884 11520032316 11560918291 16007425326 17280048474 23121836582 32014850652 34560096948 34682754873 46243673164 69365509746 104048264619 138731019492 208096529238 416193058476 522019925909 1044039851818 1566059777727 2088079703636 3132119555454 4698179333181 6264239110908 6786259036817 9396358666362 13572518073634 18792717332724 20358777110451 27145036147268 40717554220902 61076331331353 81435108441804 122152662662706 244305325325412