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13714536444 = 2237435696673
BaseRepresentation
bin11001100010111001…
…10011011111111100
31022101210022122012020
430301130303133330
5211041410131234
610144514040140
7663600431160
oct146134633774
938353278166
1013714536444
1158a8553244
1227a8b79050
1313a743072b
14941608ca0
15554046549
hex3317337fc

13714536444 has 96 divisors (see below), whose sum is σ = 37493998080. Its totient is φ = 3820013568.

The previous prime is 13714536443. The next prime is 13714536461. The reversal of 13714536444 is 44463541731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13714536396 and 13714536405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13714536443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2051892 + ... + 2058564.

It is an arithmetic number, because the mean of its divisors is an integer number (390562480).

Almost surely, 213714536444 is an apocalyptic number.

13714536444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13714536444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18746999040).

13714536444 is an abundant number, since it is smaller than the sum of its proper divisors (23779461636).

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

13714536444 is a wasteful number, since it uses less digits than its factorization.

13714536444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7299 (or 7297 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The spelling of 13714536444 in words is "thirteen billion, seven hundred fourteen million, five hundred thirty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 569 602 903 1138 1204 1707 1806 2276 3414 3612 3983 6673 6828 7966 11949 13346 15932 20019 23898 24467 26692 40038 46711 47796 48934 73401 80076 93422 97868 140133 146802 171269 186844 280266 286939 293604 342538 513807 560532 573878 685076 860817 1027614 1147756 1721634 2008573 2055228 3443268 3796937 4017146 6025719 7593874 8034292 11390811 12051438 15187748 22781622 24102876 26578559 45563244 53157118 79735677 106314236 159471354 163268291 318942708 326536582 489804873 653073164 979609746 1142878037 1959219492 2285756074 3428634111 4571512148 6857268222 13714536444