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241043050212224 = 2713419397375983
BaseRepresentation
bin110110110011101000110101…
…011000100010101110000000
31011121110111020121112212102112
4312303220311120202232000
5223043222131323242344
62212353352031434452
7101525533330034231
oct6663506530425600
91147414217485375
10241043050212224
116a8928689579a7
122304b911985a28
13a466353ab9b20
14437478dc6b088
151cd0139bbac9e
hexdb3a35622b80

241043050212224 has 128 divisors (see below), whose sum is σ = 529812634942080. Its totient is φ = 108525369507840.

The previous prime is 241043050212127. The next prime is 241043050212247. The reversal of 241043050212224 is 422212050340142.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2410430502122242 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 640912937 + ... + 641288919.

It is an arithmetic number, because the mean of its divisors is an integer number (4139161210485).

Almost surely, 2241043050212224 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 241043050212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264906317471040).

241043050212224 is an abundant number, since it is smaller than the sum of its proper divisors (288769584729856).

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

241043050212224 is a wasteful number, since it uses less digits than its factorization.

241043050212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385448 (or 385436 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The spelling of 241043050212224 in words is "two hundred forty-one trillion, forty-three billion, fifty million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 208 328 416 533 656 832 1066 1312 1664 2132 2624 4264 5248 8528 9397 17056 18794 34112 37588 68224 75176 122161 150352 244322 300704 375983 385277 488644 601408 751966 770554 977288 1202816 1503932 1541108 1954576 3007864 3082216 3909152 4887779 5008601 6015728 6164432 7818304 9775558 10017202 12031456 12328864 15415303 15636608 19551116 20034404 24062912 24657728 30830606 39102232 40068808 48125824 49315456 61661212 78204464 80137616 123322424 156408928 160275232 200398939 246644848 312817856 320550464 400797878 493289696 625635712 641100928 801595756 986579392 1603191512 1973158784 3206383024 3533112251 6412766048 7066224502 12825532096 14132449004 25651064192 28264898008 45930459263 56529796016 91860918526 113059592032 144857602291 183721837052 226119184064 289715204582 367443674104 452238368128 579430409164 734887348208 1158860818328 1469774696416 1883148829783 2317721636656 2939549392832 3766297659566 4635443273312 5879098785664 7532595319132 9270886546624 15065190638264 18541773093248 30130381276528 60260762553056 120521525106112 241043050212224