Search a number
-
+
444631114046055 = 354710091079957881
BaseRepresentation
bin110010100011000111011111…
…1100110111101101001100111
32011022022022121211022012010210
41211012032333212331221213
5431234314010143433210
64213352414113350503
7162440352333622656
oct14506167746755147
92138268554265123
10444631114046055
11119744aa6408182
1241a505a4568433
13161136c3691581
147bb23916a919d
153660d204a9e20
hex19463bf9bda67

444631114046055 has 64 divisors (see below), whose sum is σ = 727346138112000. Its totient is φ = 231835637698560.

The previous prime is 444631114046033. The next prime is 444631114046069. The reversal of 444631114046055 is 550640411136444.

It is not a de Polignac number, because 444631114046055 - 223 = 444631105657447 is a prime.

It is a super-2 number, since 2×4446311140460552 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444631114045995 and 444631114046013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7681785715 + ... + 7681843595.

It is an arithmetic number, because the mean of its divisors is an integer number (11364783408000).

Almost surely, 2444631114046055 is an apocalyptic number.

444631114046055 is a deficient number, since it is larger than the sum of its proper divisors (282715024065945).

444631114046055 is a wasteful number, since it uses less digits than its factorization.

444631114046055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69744.

The product of its (nonzero) digits is 2764800, while the sum is 48.

It can be divided in two parts, 444631 and 114046055, that multiplied together give a palindrome (50708411480705).

The spelling of 444631114046055 in words is "four hundred forty-four trillion, six hundred thirty-one billion, one hundred fourteen million, forty-six thousand, fifty-five".

Divisors: 1 3 5 15 47 141 235 705 1009 3027 5045 10799 15135 32397 47423 53995 57881 142269 161985 173643 237115 289405 507553 711345 868215 1522659 2537765 2720407 7613295 8161221 10896191 13602035 32688573 40806105 54480955 58401929 163442865 175205787 292009645 512120977 625056919 876028935 1536362931 1875170757 2560604885 2744890663 3125284595 7681814655 8234671989 9375853785 13724453315 29377675193 41173359945 88133025579 146888375965 440665127895 630682431271 1892047293813 3153412156355 9460236469065 29642074269737 88926222809211 148210371348685 444631114046055