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20314214244 = 22325969113841
BaseRepresentation
bin10010111010110100…
…100100111101100100
31221102201210000011100
4102322310210331210
5313100414323434
613155432040100
71316255654262
oct227264447544
957381700140
1020314214244
118684931915
123b2b233030
131bb981151c
14da9d19432
157dd636699
hex4bad24f64

20314214244 has 72 divisors (see below), whose sum is σ = 52299505440. Its totient is φ = 6646521600.

The previous prime is 20314214189. The next prime is 20314214251. The reversal of 20314214244 is 44241241302.

20314214244 is a `hidden beast` number, since 203 + 1 + 4 + 214 + 244 = 666.

It is a super-2 number, since 2×203142142442 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1460764 + ... + 1474604.

It is an arithmetic number, because the mean of its divisors is an integer number (726382020).

Almost surely, 220314214244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20314214244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26149752720).

20314214244 is an abundant number, since it is smaller than the sum of its proper divisors (31985291196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20314214244 is a wasteful number, since it uses less digits than its factorization.

20314214244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14601 (or 14596 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20314214244 its reverse (44241241302), we get a palindrome (64555455546).

The spelling of 20314214244 in words is "twenty billion, three hundred fourteen million, two hundred fourteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 691 708 1062 1382 2073 2124 2764 4146 6219 8292 12438 13841 24876 27682 40769 41523 55364 81538 83046 122307 124569 163076 166092 244614 249138 366921 489228 498276 733842 816619 1467684 1633238 2449857 3266476 4899714 7349571 9564131 9799428 14699142 19128262 28692393 29398284 38256524 57384786 86077179 114769572 172154358 344308716 564283729 1128567458 1692851187 2257134916 3385702374 5078553561 6771404748 10157107122 20314214244