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314444244141 = 32712412041859
BaseRepresentation
bin1001001001101100101…
…01100110010010101101
31010001122011022122201100
410210312111212102231
520122440211303031
6400241555233313
731501135655316
oct4446625462255
91101564278640
10314444244141
1111139a63a755
1250b368a8839
13238624a0631
141130d61960d
1582a57e4de6
hex49365664ad

314444244141 has 24 divisors (see below), whose sum is σ = 462505792320. Its totient is φ = 205819286400.

The previous prime is 314444244139. The next prime is 314444244161. The reversal of 314444244141 is 141442444413.

314444244141 is a `hidden beast` number, since 31 + 4 + 4 + 442 + 44 + 141 = 666.

It is not a de Polignac number, because 314444244141 - 21 = 314444244139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314444244096 and 314444244105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314444244161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 866931 + ... + 1174928.

It is an arithmetic number, because the mean of its divisors is an integer number (19271074680).

Almost surely, 2314444244141 is an apocalyptic number.

It is an amenable number.

314444244141 is a deficient number, since it is larger than the sum of its proper divisors (148061548179).

314444244141 is a wasteful number, since it uses less digits than its factorization.

314444244141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042177 (or 2042174 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 314444244141 its reverse (141442444413), we get a palindrome (455886688554).

The spelling of 314444244141 in words is "three hundred fourteen billion, four hundred forty-four million, two hundred forty-four thousand, one hundred forty-one".

Divisors: 1 3 9 71 213 241 639 723 2169 17111 51333 153999 2041859 6125577 18376731 144971989 434915967 492088019 1304747901 1476264057 4428792171 34938249349 104814748047 314444244141