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2114311626405 = 335112129434443
BaseRepresentation
bin11110110001000110110…
…010110001111010100101
321111010102000100010212000
4132301012302301322211
5234120102234021110
64255145031515513
7305516420203626
oct36610662617245
97433360303760
102114311626405
1174574687a700
122a1926828b99
131244c00c16b4
1474494545a4d
1539ee88a41c0
hex1ec46cb1ea5

2114311626405 has 48 divisors (see below), whose sum is σ = 4131547452480. Its totient is φ = 1025120780640.

The previous prime is 2114311626367. The next prime is 2114311626409. The reversal of 2114311626405 is 5046261134112.

2114311626405 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 3 + 1 + 1 + 6 + 2 + 640 + 5 = 666.

It is not a de Polignac number, because 2114311626405 - 223 = 2114303237797 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2114311626405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114311626409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64700887 + ... + 64733556.

It is an arithmetic number, because the mean of its divisors is an integer number (86073905260).

Almost surely, 22114311626405 is an apocalyptic number.

It is an amenable number.

2114311626405 is a deficient number, since it is larger than the sum of its proper divisors (2017235826075).

2114311626405 is a wasteful number, since it uses less digits than its factorization.

2114311626405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129434479 (or 129434462 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2114311626405 in words is "two trillion, one hundred fourteen billion, three hundred eleven million, six hundred twenty-six thousand, four hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 121 135 165 297 363 495 605 1089 1485 1815 3267 5445 16335 129434443 388303329 647172215 1164909987 1423778873 1941516645 3494729961 4271336619 5824549935 7118894365 12814009857 15661567603 17473649805 21356683095 38442029571 46984702809 64070049285 78307838015 140954108427 192210147855 234923514045 422862325281 704770542135 2114311626405