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241005214115540 = 225721938712684979
BaseRepresentation
bin110110110011000101100110…
…001011010010011011010100
31011121022212120202021000020022
4312303011212023102123110
5223042112134303144130
62212324133352524312
7101523023606362400
oct6663054613223324
91147285522230208
10241005214115540
116a878812414506
12230445126b0698
13a46290413ac34
144372a00c22100
151cce1731707e5
hexdb31662d26d4

241005214115540 has 72 divisors (see below), whose sum is σ = 588771723022560. Its totient is φ = 82626090458688.

The previous prime is 241005214115539. The next prime is 241005214115551. The reversal of 241005214115540 is 45511412500142.

241005214115540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 241005214115540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12656771 + ... + 25341749.

It is an arithmetic number, because the mean of its divisors is an integer number (8177385041980).

Almost surely, 2241005214115540 is an apocalyptic number.

241005214115540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241005214115540 is an abundant number, since it is smaller than the sum of its proper divisors (347766508907020).

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

241005214115540 is a wasteful number, since it uses less digits than its factorization.

241005214115540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12704389 (or 12704380 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

Adding to 241005214115540 its reverse (45511412500142), we get a palindrome (286516626615682).

The spelling of 241005214115540 in words is "two hundred forty-one trillion, five billion, two hundred fourteen million, one hundred fifteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 19387 38774 77548 96935 135709 193870 271418 387740 542836 678545 949963 1357090 1899926 2714180 3799852 4749815 9499630 12684979 18999260 25369958 50739916 63424895 88794853 126849790 177589706 253699580 355179412 443974265 621563971 887948530 1243127942 1775897060 2486255884 3107819855 6215639710 12431279420 245923687873 491847375746 983694751492 1229618439365 1721465815111 2459236878730 3442931630222 4918473757460 6885863260444 8607329075555 12050260705777 17214658151110 24100521411554 34429316302220 48201042823108 60251303528885 120502607057770 241005214115540