Search a number
-
+
275414046127407 = 33117113060845361
BaseRepresentation
bin111110100111110011010100…
…011000101011010100101111
31100010011022210102012112021000
4332213303110120223110233
5242044340431302034112
62413431244403011343
7112004002544620545
oct7647632430532457
91303138712175230
10275414046127407
117a834494011790
1226a81106969b53
13ba8a582707865
144c0217a677d95
1521c9240d957dc
hexfa7cd462b52f

275414046127407 has 32 divisors (see below), whose sum is σ = 451382815710720. Its totient is φ = 164566651536000.

The previous prime is 275414046127361. The next prime is 275414046127427. The reversal of 275414046127407 is 704721640414572.

275414046127407 is a `hidden beast` number, since 2 + 7 + 5 + 4 + 14 + 0 + 4 + 612 + 7 + 4 + 0 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2k-275414046127407 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275414046127427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6530401594 + ... + 6530443767.

It is an arithmetic number, because the mean of its divisors is an integer number (14105712990960).

Almost surely, 2275414046127407 is an apocalyptic number.

275414046127407 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

275414046127407 is a deficient number, since it is larger than the sum of its proper divisors (175968769583313).

275414046127407 is a wasteful number, since it uses less digits than its factorization.

275414046127407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13060845452 (or 13060845446 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 275414046127407 in words is "two hundred seventy-five trillion, four hundred fourteen billion, forty-six million, one hundred twenty-seven thousand, four hundred seven".

Divisors: 1 3 9 11 27 33 71 99 213 297 639 781 1917 2343 7029 21087 13060845361 39182536083 117547608249 143669298971 352642824747 431007896913 927320020631 1293023690739 2781960061893 3879071072217 8345880185679 10200520226941 25037640557037 30601560680823 91804682042469 275414046127407