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241343551616 = 27109139124447
BaseRepresentation
bin1110000011000100110…
…0100101100010000000
3212001221122110201022212
43200301030211202000
512423232422122431
6302512141521252
723302501224626
oct3406114454200
9761848421285
10241343551616
1193398163482
123a935573228
13199b284799b
14b976ca9516
156427da072b
hex3831325880

241343551616 has 64 divisors (see below), whose sum is σ = 488707296000. Its totient is φ = 118703563776.

The previous prime is 241343551613. The next prime is 241343551633. The reversal of 241343551616 is 616155343142.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2413435516162 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (241343551613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1877105 + ... + 2001551.

It is an arithmetic number, because the mean of its divisors is an integer number (7636051500).

Almost surely, 2241343551616 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 241343551616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244353648000).

241343551616 is an abundant number, since it is smaller than the sum of its proper divisors (247363744384).

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

241343551616 is a wasteful number, since it uses less digits than its factorization.

241343551616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124709 (or 124697 counting only the distinct ones).

The product of its digits is 259200, while the sum is 41.

Adding to 241343551616 its reverse (616155343142), we get a palindrome (857498894758).

The spelling of 241343551616 in words is "two hundred forty-one billion, three hundred forty-three million, five hundred fifty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 109 128 139 218 278 436 556 872 1112 1744 2224 3488 4448 6976 8896 13952 15151 17792 30302 60604 121208 124447 242416 248894 484832 497788 969664 995576 1939328 1991152 3982304 7964608 13564723 15929216 17298133 27129446 34596266 54258892 69192532 108517784 138385064 217035568 276770128 434071136 553540256 868142272 1107080512 1736284544 1885496497 2214161024 3770992994 7541985988 15083971976 30167943952 60335887904 120671775808 241343551616