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1321421343144 = 2337283197314087
BaseRepresentation
bin10011001110101010110…
…110011000100110101000
311200022211010101102201120
4103032222312120212220
5133122232330440034
62451015205215240
7164320024043010
oct23165266304650
94608733342646
101321421343144
1146a458998371
12194125401520
13977c00b4406
1447d5853ac40
152458e84ec49
hex133aad989a8

1321421343144 has 128 divisors (see below), whose sum is σ = 3791019939840. Its totient is φ = 375997485312.

The previous prime is 1321421343133. The next prime is 1321421343157. The reversal of 1321421343144 is 4413431241231.

It is a happy number.

It is a super-2 number, since 2×13214213431442 (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 93797269 + ... + 93811355.

It is an arithmetic number, because the mean of its divisors is an integer number (29617343280).

Almost surely, 21321421343144 is an apocalyptic number.

1321421343144 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 1321421343144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895509969920).

1321421343144 is an abundant number, since it is smaller than the sum of its proper divisors (2469598596696).

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

1321421343144 is a wasteful number, since it uses less digits than its factorization.

1321421343144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16359 (or 16355 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

Adding to 1321421343144 its reverse (4413431241231), we get a palindrome (5734852584375).

The spelling of 1321421343144 in words is "one trillion, three hundred twenty-one billion, four hundred twenty-one million, three hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 283 566 849 1132 1698 1973 1981 2264 3396 3946 3962 5919 5943 6792 7892 7924 11838 11886 13811 14087 15784 15848 23676 23772 27622 28174 41433 42261 47352 47544 55244 56348 82866 84522 98609 110488 112696 165732 169044 197218 295827 331464 338088 394436 558359 591654 788872 1116718 1183308 1675077 2233436 2366616 3350154 3908513 3986621 4466872 6700308 7817026 7973242 11725539 11959863 13400616 15634052 15946484 23451078 23919726 27793651 27906347 31268104 31892968 46902156 47839452 55587302 55812694 83380953 83719041 93804312 95678904 111174604 111625388 166761906 167438082 194555557 222349208 223250776 333523812 334876164 389111114 583666671 667047624 669752328 778222228 1167333342 1556444456 2334666684 4669333368 7865603233 15731206466 23596809699 31462412932 47193619398 55059222631 62924825864 94387238796 110118445262 165177667893 188774477592 220236890524 330355335786 440473781048 660710671572 1321421343144