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319418141 = 7312103461
BaseRepresentation
bin10011000010011…
…110111100011101
3211021001010022112
4103002132330131
51123232340031
651410123405
710626003140
oct2302367435
9737033275
10319418141
11154337639
128ab80565
1351239423
14305ca057
151d09762b
hex1309ef1d

319418141 has 24 divisors (see below), whose sum is σ = 381693312. Its totient is φ = 261813600.

The previous prime is 319418123. The next prime is 319418149. The reversal of 319418141 is 141814913.

It is a happy number.

It is not a de Polignac number, because 319418141 - 214 = 319401757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 319418098 and 319418107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319418149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 692651 + ... + 693111.

It is an arithmetic number, because the mean of its divisors is an integer number (15903888).

Almost surely, 2319418141 is an apocalyptic number.

319418141 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

319418141 is a deficient number, since it is larger than the sum of its proper divisors (62275171).

319418141 is a wasteful number, since it uses less digits than its factorization.

319418141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 602 counting only the distinct ones).

The product of its digits is 3456, while the sum is 32.

The square root of 319418141 is about 17872.2729668053. The cubic root of 319418141 is about 683.5755584392.

The spelling of 319418141 in words is "three hundred nineteen million, four hundred eighteen thousand, one hundred forty-one".

Divisors: 1 7 31 103 217 461 721 961 3193 3227 6727 14291 22351 47483 98983 100037 332381 443021 692881 1471973 3101147 10303811 45631163 319418141