Search a number
-
+
13351042222344 = 2333431437450713
BaseRepresentation
bin1100001001001000100000…
…1000010000100100001000
31202021100101002101002221000
43002102020020100210020
53222220413302103334
644221214545415000
72545403162302641
oct302221010204410
952240332332830
1013351042222344
114288166301122
1215b763103a460
1375acc8458148
143422a00766c8
15182457e5c299
hexc2488210908

13351042222344 has 64 divisors (see below), whose sum is σ = 37948698849600. Its totient is φ = 4346850953088.

The previous prime is 13351042222339. The next prime is 13351042222363. The reversal of 13351042222344 is 44322224015331.

13351042222344 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 1 + 0 + 422 + 223 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13351042222299 and 13351042222308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718716069 + ... + 718734644.

It is an arithmetic number, because the mean of its divisors is an integer number (592948419525).

Almost surely, 213351042222344 is an apocalyptic number.

It is an amenable number.

13351042222344 is an abundant number, since it is smaller than the sum of its proper divisors (24597656627256).

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

13351042222344 is a wasteful number, since it uses less digits than its factorization.

13351042222344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437450771 (or 1437450761 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 13351042222344 its reverse (44322224015331), we get a palindrome (57673266237675).

The spelling of 13351042222344 in words is "thirteen trillion, three hundred fifty-one billion, forty-two million, two hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1548 2322 3096 4644 9288 1437450713 2874901426 4312352139 5749802852 8624704278 11499605704 12937056417 17249408556 25874112834 34498817112 38811169251 51748225668 61810380659 77622338502 103496451336 123620761318 155244677004 185431141977 247241522636 310489354008 370862283954 494483045272 556293425931 741724567908 1112586851862 1483449135816 1668880277793 2225173703724 3337760555586 4450347407448 6675521111172 13351042222344