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1342038839296 = 2122327872
BaseRepresentation
bin10011100001110111101…
…111111001000000000000
311202022000222211202110011
4103201313233321000000
5133441443420324141
62504305113514304
7165646654626151
oct23416757710000
94668028752404
101342038839296
11478178a35391
1219811a112994
13997276a248c
1448d52841928
1524d998e2881
hex13877bf9000

1342038839296 has 117 divisors (see below), whose sum is σ = 2809077410811. Its totient is φ = 641029103616.

The previous prime is 1342038839269. The next prime is 1342038839357. The reversal of 1342038839296 is 6929388302431.

The square root of 1342038839296 is 1158464.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1342038839296.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1705258615 + ... + 1705259401.

Almost surely, 21342038839296 is an apocalyptic number.

1342038839296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1342038839296 is the 1158464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342038839296

1342038839296 is an abundant number, since it is smaller than the sum of its proper divisors (1467038571515).

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

1342038839296 is an frugal number, since it uses more digits than its factorization.

1342038839296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 58.

The spelling of 1342038839296 in words is "one trillion, three hundred forty-two billion, thirty-eight million, eight hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 529 736 787 1024 1058 1472 1574 2048 2116 2944 3148 4096 4232 5888 6296 8464 11776 12592 16928 18101 23552 25184 33856 36202 47104 50368 67712 72404 94208 100736 135424 144808 201472 270848 289616 402944 416323 541696 579232 619369 805888 832646 1083392 1158464 1238738 1611776 1665292 2166784 2316928 2477476 3223552 3330584 4633856 4954952 6661168 9267712 9909904 13322336 14245487 18535424 19819808 26644672 28490974 37070848 39639616 53289344 56981948 74141696 79279232 106578688 113963896 158558464 213157376 227927792 317116928 327646201 426314752 455855584 634233856 655292402 852629504 911711168 1268467712 1310584804 1705259008 1823422336 2536935424 2621169608 3646844672 5242339216 7293689344 10484678432 14587378688 20969356864 29174757376 41938713728 58349514752 83877427456 167754854912 335509709824 671019419648 1342038839296