Search a number
-
+
13402112043144 = 2331167853888271
BaseRepresentation
bin1100001100000110110000…
…1000001010100010001000
31202110020012020020210210110
43003001230020022202020
53224040011140340034
644300502325114320
72552161554515526
oct303015410124210
952406166223713
1013402112043144
1142a78929463a0
1216055042589a0
13762a76a40116
143449468cb316
151839466c5de9
hexc306c20a888

13402112043144 has 128 divisors (see below), whose sum is σ = 37140286740480. Its totient is φ = 3995935891200.

The previous prime is 13402112043127. The next prime is 13402112043157. The reversal of 13402112043144 is 44134021120431.

It is a happy 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, 14643729 + ... + 15531999.

It is an arithmetic number, because the mean of its divisors is an integer number (290158490160).

Almost surely, 213402112043144 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 13402112043144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570143370240).

13402112043144 is an abundant number, since it is smaller than the sum of its proper divisors (23738174697336).

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

13402112043144 is a wasteful number, since it uses less digits than its factorization.

13402112043144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889211 (or 889207 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 13402112043144 its reverse (44134021120431), we get a palindrome (57536133163575).

The spelling of 13402112043144 in words is "thirteen trillion, four hundred two billion, one hundred twelve million, forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 402 536 737 804 853 1474 1608 1706 2211 2559 2948 3412 4422 5118 5896 6824 8844 9383 10236 17688 18766 20472 28149 37532 56298 57151 75064 112596 114302 171453 225192 228604 342906 457208 628661 685812 888271 1257322 1371624 1776542 1885983 2514644 2664813 3553084 3771966 5029288 5329626 7106168 7543932 9770981 10659252 15087864 19541962 21318504 29312943 39083924 58625886 59514157 78167848 117251772 119028314 178542471 234503544 238056628 357084942 476113256 654655727 714169884 757695163 1309311454 1428339768 1515390326 1963967181 2273085489 2618622908 3030780652 3927934362 4546170978 5237245816 6061561304 7855868724 8334646793 9092341956 15711737448 16669293586 18184683912 25003940379 33338587172 50007880758 50765575921 66677174344 100015761516 101531151842 152296727763 200031523032 203062303684 304593455526 406124607368 558421335131 609186911052 1116842670262 1218373822104 1675264005393 2233685340524 3350528010786 4467370681048 6701056021572 13402112043144