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4144435314305 = 511135796413027
BaseRepresentation
bin111100010011110011100…
…110000011111010000001
3112200012111211012220002112
4330103303212003322001
51020400300420024210
612451532144025105
7605265653631656
oct74236346037201
915605454186075
104144435314305
111358710765020
1256b277002195
13240a84536560
1410483da39c2d
1572c1628dd05
hex3c4f3983e81

4144435314305 has 16 divisors (see below), whose sum is σ = 5842784332224. Its totient is φ = 2782278252480.

The previous prime is 4144435314263. The next prime is 4144435314307. The reversal of 4144435314305 is 5034135344414.

4144435314305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4144435314305 - 218 = 4144435052161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4144435314307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2898205799 + ... + 2898207228.

It is an arithmetic number, because the mean of its divisors is an integer number (365174020764).

Almost surely, 24144435314305 is an apocalyptic number.

It is an amenable number.

4144435314305 is a deficient number, since it is larger than the sum of its proper divisors (1698349017919).

4144435314305 is a wasteful number, since it uses less digits than its factorization.

4144435314305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5796413056.

The product of its (nonzero) digits is 691200, while the sum is 41.

The spelling of 4144435314305 in words is "four trillion, one hundred forty-four billion, four hundred thirty-five million, three hundred fourteen thousand, three hundred five".

Divisors: 1 5 11 13 55 65 143 715 5796413027 28982065135 63760543297 75353369351 318802716485 376766846755 828887062861 4144435314305