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241863561439104 = 27311229250040899
BaseRepresentation
bin110110111111100100111111…
…101010011110011110000000
31011201100221010110011220002210
4312333210333222132132000
5223200143033212022404
62214222330342542120
7101642031344266443
oct6677447752363600
91151327113156083
10241863561439104
1170079840075a70
1223162941437940
13a4c5836327327
1443a238a35365a
151ce665da5d689
hexdbf93fa9e780

241863561439104 has 128 divisors (see below), whose sum is σ = 703915141680000. Its totient is φ = 72971935672320.

The previous prime is 241863561439103. The next prime is 241863561439109. The reversal of 241863561439104 is 401934165368142.

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

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241863561439103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124053154 + ... + 125987745.

It is an arithmetic number, because the mean of its divisors is an integer number (5499337044375).

Almost surely, 2241863561439104 is an apocalyptic number.

241863561439104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

241863561439104 is an abundant number, since it is smaller than the sum of its proper divisors (462051580240896).

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

241863561439104 is a wasteful number, since it uses less digits than its factorization.

241863561439104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250041156 (or 250041144 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 241863561439104 in words is "two hundred forty-one trillion, eight hundred sixty-three billion, five hundred sixty-one million, four hundred thirty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 229 264 352 384 458 528 687 704 916 1056 1374 1408 1832 2112 2519 2748 3664 4224 5038 5496 7328 7557 10076 10992 14656 15114 20152 21984 29312 30228 40304 43968 60456 80608 87936 120912 161216 241824 322432 483648 967296 250040899 500081798 750122697 1000163596 1500245394 2000327192 2750449889 3000490788 4000654384 5500899778 6000981576 8001308768 8251349667 11001799556 12001963152 16002617536 16502699334 22003599112 24003926304 32005235072 33005398668 44007198224 48007852608 57259365871 66010797336 88014396448 96015705216 114518731742 132021594672 171778097613 176028792896 229037463484 264043189344 343556195226 352057585792 458074926968 528086378688 629853024581 687112390452 916149853936 1056172757376 1259706049162 1374224780904 1832299707872 1889559073743 2519412098324 2748449561808 3664599415744 3779118147486 5038824196648 5496899123616 7329198831488 7558236294972 10077648393296 10993798247232 15116472589944 20155296786592 21987596494464 30232945179888 40310593573184 60465890359776 80621187146368 120931780719552 241863561439104