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13320222041408 = 261788211387921
BaseRepresentation
bin1100000111010101101100…
…0110100110010101000000
31202011101211011202200211012
43001311123012212111000
53221214303320311113
644155120414140052
72543232343136012
oct301653306462500
952141734680735
1013320222041408
1142760900a3007
1215b166b4b1628
137581261955a9
143409b8b2c1b2
15181752321aa8
hexc1d5b1a6540

13320222041408 has 56 divisors (see below), whose sum is σ = 27990350662824. Its totient is φ = 6267624652800.

The previous prime is 13320222041407. The next prime is 13320222041417. The reversal of 13320222041408 is 80414022202331.

It can be written as a sum of positive squares in 4 ways, for example, as 7254877606144 + 6065344435264 = 2693488^2 + 2462792^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320222041407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8903288 + ... + 10291208.

Almost surely, 213320222041408 is an apocalyptic number.

It is an amenable number.

13320222041408 is an abundant number, since it is smaller than the sum of its proper divisors (14670128621416).

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

13320222041408 is a wasteful number, since it uses less digits than its factorization.

13320222041408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396771 (or 1396761 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 13320222041408 its reverse (80414022202331), we get a palindrome (93734244243739).

The spelling of 13320222041408 in words is "thirteen trillion, three hundred twenty billion, two hundred twenty-two million, forty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 8821 17642 35284 70568 141136 149957 282272 299914 564544 599828 1199656 1387921 2399312 2775842 4798624 5551684 9597248 11103368 22206736 23594657 44413472 47189314 88826944 94378628 188757256 377514512 755029024 1510058048 12242851141 24485702282 48971404564 97942809128 195885618256 208128469397 391771236512 416256938794 783542473024 832513877588 1665027755176 3330055510352 6660111020704 13320222041408