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1141212421664 = 2579752522663
BaseRepresentation
bin10000100110110101100…
…011111001111000100000
311001002200001111201002022
4100212311203321320200
5122144200334443124
62232133222441012
7145310210350250
oct20466543717040
94032601451068
101141212421664
113aaa9272a407
12165211893168
13838010b0bb3
143d340ab9960
151ea43b28c5e
hex109b58f9e20

1141212421664 has 48 divisors (see below), whose sum is σ = 2594199420288. Its totient is φ = 484048852992.

The previous prime is 1141212421663. The next prime is 1141212421691. The reversal of 1141212421664 is 4661242121411.

It is a super-2 number, since 2×11412124216642 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1141212421663) 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 7 ways as a sum of consecutive naturals, for example, 26239604 + ... + 26283059.

It is an arithmetic number, because the mean of its divisors is an integer number (54045821256).

Almost surely, 21141212421664 is an apocalyptic number.

1141212421664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1141212421664 is an abundant number, since it is smaller than the sum of its proper divisors (1452986998624).

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

1141212421664 is an equidigital number, since it uses as much as digits as its factorization.

1141212421664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52522777 (or 52522769 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The spelling of 1141212421664 in words is "one trillion, one hundred forty-one billion, two hundred twelve million, four hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 97 112 194 224 388 679 776 1358 1552 2716 3104 5432 10864 21728 52522663 105045326 210090652 367658641 420181304 735317282 840362608 1470634564 1680725216 2941269128 5094698311 5882538256 10189396622 11765076512 20378793244 35662888177 40757586488 71325776354 81515172976 142651552708 163030345952 285303105416 570606210832 1141212421664