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314445544413 = 371113791325449
BaseRepresentation
bin1001001001101100110…
…10100011101111011101
31010001122020202201100120
410210312122203233131
520122441024410123
6400242043145153
731501153012230
oct4446632435735
91101566681316
10314445544413
111113a0348660
1250b372151b9
1323862837420
141130d877417
1582a59a02e3
hex49366a3bdd

314445544413 has 64 divisors (see below), whose sum is σ = 570049536000. Its totient is φ = 148874319360.

The previous prime is 314445544411. The next prime is 314445544417.

314445544413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314445544413 - 21 = 314445544411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314445544411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 425488 + ... + 899961.

It is an arithmetic number, because the mean of its divisors is an integer number (8907024000).

Almost surely, 2314445544413 is an apocalyptic number.

314445544413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

314445544413 is a deficient number, since it is larger than the sum of its proper divisors (255603991587).

314445544413 is a wasteful number, since it uses less digits than its factorization.

314445544413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325562.

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 314445 and 544413, that added together give a palindrome (858858).

The spelling of 314445544413 in words is "three hundred fourteen billion, four hundred forty-five million, five hundred forty-four thousand, four hundred thirteen".

Divisors: 1 3 7 11 13 21 33 39 77 79 91 143 231 237 273 429 553 869 1001 1027 1659 2607 3003 3081 6083 7189 11297 18249 21567 33891 79079 237237 1325449 3976347 9278143 14579939 17230837 27834429 43739817 51692511 102059573 104710471 120615859 189539207 306178719 314131413 361847577 568617621 732973297 1151815181 1326774449 1361236123 2198919891 3455445543 3980323347 4083708369 8062706267 9528652861 14973597353 24188118801 28585958583 44920792059 104815181471 314445544413