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1121464439256 = 2337241128321589
BaseRepresentation
bin10000010100011100011…
…111010101000111011000
310222012200210012020222110
4100110130133111013120
5121333224344024011
62215105454552320
7144010635310440
oct20243437250730
93865623166873
101121464439256
113a2679491997
121614202086a0
13819a49a40c5
143c3ca077120
151e28a08eba6
hex1051c7d51d8

1121464439256 has 128 divisors (see below), whose sum is σ = 3220136409600. Its totient is φ = 318825400320.

The previous prime is 1121464439201. The next prime is 1121464439257. The reversal of 1121464439256 is 6529344641211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121464439257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51935310 + ... + 51956898.

It is an arithmetic number, because the mean of its divisors is an integer number (25157315700).

Almost surely, 21121464439256 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 1121464439256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610068204800).

1121464439256 is an abundant number, since it is smaller than the sum of its proper divisors (2098671970344).

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

1121464439256 is a wasteful number, since it uses less digits than its factorization.

1121464439256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23129 (or 23125 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The spelling of 1121464439256 in words is "one trillion, one hundred twenty-one billion, four hundred sixty-four million, four hundred thirty-nine thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 241 482 723 964 1283 1446 1687 1928 2566 2892 3374 3849 5061 5132 5784 6748 7698 8981 10122 10264 13496 15396 17962 20244 21589 26943 30792 35924 40488 43178 53886 64767 71848 86356 107772 129534 151123 172712 215544 259068 302246 309203 453369 518136 604492 618406 906738 927609 1208984 1236812 1813476 1855218 2164421 2473624 3626952 3710436 4328842 5202949 6493263 7420872 8657684 10405898 12986526 15608847 17315368 20811796 25973052 27698687 31217694 36420643 41623592 51946104 55397374 62435388 72841286 83096061 109261929 110794748 124870776 145682572 166192122 193890809 218523858 221589496 291365144 332384244 387781618 437047716 581672427 664768488 775563236 874095432 1163344854 1551126472 2326689708 4653379416 6675383567 13350767134 20026150701 26701534268 40052301402 46727684969 53403068536 80104602804 93455369938 140183054907 160209205608 186910739876 280366109814 373821479752 560732219628 1121464439256