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13320204444444 = 22329263337431863
BaseRepresentation
bin1100000111010101101000…
…0011011110001100011100
31202011101202221122200022210
43001311122003132030130
53221214234314210234
644155114545040420
72543232040435632
oct301653203361434
952141687580283
1013320204444444
114276081174167
1215b1665626110
13758122643ba1
143409b666b352
151817509e7be9
hexc1d5a0de31c

13320204444444 has 96 divisors (see below), whose sum is σ = 32370314296320. Its totient is φ = 4257979665408.

The previous prime is 13320204444431. The next prime is 13320204444497. The reversal of 13320204444444 is 44444440202331.

It is a happy number.

13320204444444 is a modest number, since divided by 4444444 gives 1332020 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30627657 + ... + 31059519.

It is an arithmetic number, because the mean of its divisors is an integer number (337190773920).

Almost surely, 213320204444444 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 13320204444444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16185157148160).

13320204444444 is an abundant number, since it is smaller than the sum of its proper divisors (19050109851876).

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

13320204444444 is a wasteful number, since it uses less digits than its factorization.

13320204444444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432499 (or 432497 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 39.

Adding to 13320204444444 its reverse (44444440202331), we get a palindrome (57764644646775).

The spelling of 13320204444444 in words is "thirteen trillion, three hundred twenty billion, two hundred four million, four hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 263 337 348 526 674 789 1011 1052 1348 1578 2022 3156 4044 7627 9773 15254 19546 22881 29319 30508 39092 45762 58638 88631 91524 117276 177262 265893 354524 431863 531786 863726 1063572 1295589 1727452 2570299 2591178 5140598 5182356 7710897 10281196 12524027 15421794 25048054 30843588 37572081 50096108 75144162 113579969 145537831 150288324 227159938 291075662 340739907 436613493 454319876 582151324 681479814 873226986 1362959628 1746453972 3293819101 4220597099 6587638202 8441194198 9881457303 12661791297 13175276404 16882388396 19762914606 25323582594 38276449553 39525829212 50647165188 76552899106 114829348659 153105798212 229658697318 459317394636 1110017037037 2220034074074 3330051111111 4440068148148 6660102222222 13320204444444