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1412100408511 = 132315917326407
BaseRepresentation
bin10100100011000111101…
…111100100010010111111
311222222212201001020102001
4110203013233210102333
5141113440201033021
63000413204243131
7204010110266662
oct24430757442277
94888781036361
101412100408511
114a496095a301
121a98116a04a7
13a32117c6100
144c4bb6c36d9
1526aea616091
hex148c7be44bf

1412100408511 has 48 divisors (see below), whose sum is σ = 1614496389120. Its totient is φ = 1232834878080.

The previous prime is 1412100408497. The next prime is 1412100408577. The reversal of 1412100408511 is 1158040012141.

It is a happy number.

It is not a de Polignac number, because 1412100408511 - 25 = 1412100408479 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1412100408511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412100408311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53461270 + ... + 53487676.

It is an arithmetic number, because the mean of its divisors is an integer number (33635341440).

Almost surely, 21412100408511 is an apocalyptic number.

1412100408511 is a deficient number, since it is larger than the sum of its proper divisors (202395980609).

1412100408511 is a wasteful number, since it uses less digits than its factorization.

1412100408511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26696 (or 26683 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 28.

The spelling of 1412100408511 in words is "one trillion, four hundred twelve billion, one hundred million, four hundred eight thousand, five hundred eleven".

Divisors: 1 13 31 59 169 173 403 767 1829 2249 5239 5363 9971 10207 23777 26407 29237 69719 132691 309101 316417 343291 818617 906347 1558013 1724983 4113421 4462783 4568411 10642021 20254169 48298403 53474473 59389343 138346273 141620741 263304197 269536249 627879239 772061459 1841069633 3503971237 8162430107 8355623719 23933905229 45551626081 108623108347 1412100408511