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241523553313340 = 225193372347803587
BaseRepresentation
bin110110111010101000010101…
…100110011010001000111100
31011200011102111200220111101222
4312322220111212122020330
5223124110214122011330
62213402215540452512
7101605333543021034
oct6672502546321074
91150142450814358
10241523553313340
116aa58622380721
1223108a713aa138
13a49c75b85c72c
14438db3392a8c4
151cdc8add100e5
hexdbaa1599a23c

241523553313340 has 96 divisors (see below), whose sum is σ = 535707247246080. Its totient is φ = 91214133986304.

The previous prime is 241523553313253. The next prime is 241523553313373. The reversal of 241523553313340 is 43313355325142.

241523553313340 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 = 241523553313291 and 241523553313300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300155027 + ... + 300958613.

It is an arithmetic number, because the mean of its divisors is an integer number (5580283825480).

Almost surely, 2241523553313340 is an apocalyptic number.

241523553313340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241523553313340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267853623623040).

241523553313340 is an abundant number, since it is smaller than the sum of its proper divisors (294183693932740).

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

241523553313340 is a wasteful number, since it uses less digits than its factorization.

241523553313340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806299 (or 806297 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 44.

The spelling of 241523553313340 in words is "two hundred forty-one trillion, five hundred twenty-three billion, five hundred fifty-three million, three hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 337 380 674 1348 1685 2347 3370 4694 6403 6740 9388 11735 12806 23470 25612 32015 44593 46940 64030 89186 128060 178372 222965 445930 790939 803587 891860 1581878 1607174 3163756 3214348 3954695 4017935 7909390 8035870 15027841 15268153 15818780 16071740 30055682 30536306 60111364 61072612 75139205 76340765 150278410 152681530 270808819 300556820 305363060 541617638 1083235276 1354044095 1886018689 2708088190 3772037378 5145367561 5416176380 7544074756 9430093445 10290735122 18860186890 20581470244 25726837805 35834355091 37720373780 51453675610 71668710182 102907351220 143337420364 179171775455 358343550910 635588298193 716687101820 1271176596386 2542353192772 3177941490965 6355882981930 12076177665667 12711765963860 24152355331334 48304710662668 60380888328335 120761776656670 241523553313340