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1340688336032 = 25618947916111
BaseRepresentation
bin10011100000100111010…
…000001000010010100000
311202011112212122002020202
4103200213100020102200
5133431212203223112
62503523111524332
7165601335553643
oct23404720102240
94664485562222
101340688336032
11477645683291
12197a019896a8
1399570964016
1448c65335a5a
1524d1b0786c2
hex138274084a0

1340688336032 has 96 divisors (see below), whose sum is σ = 2718725990400. Its totient is φ = 650544998400.

The previous prime is 1340688335999. The next prime is 1340688336061. The reversal of 1340688336032 is 2306338860431.

It is a super-4 number, since 4×13406883360324 (a number of 50 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83207657 + ... + 83223767.

It is an arithmetic number, because the mean of its divisors is an integer number (28320062400).

Almost surely, 21340688336032 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 1340688336032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359362995200).

1340688336032 is an abundant number, since it is smaller than the sum of its proper divisors (1378037654368).

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

1340688336032 is a wasteful number, since it uses less digits than its factorization.

1340688336032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16750 (or 16742 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 47.

The spelling of 1340688336032 in words is "one trillion, three hundred forty billion, six hundred eighty-eight million, three hundred thirty-six thousand, thirty-two".

Divisors: 1 2 4 8 16 32 61 89 122 178 244 356 479 488 712 958 976 1424 1916 1952 2848 3832 5429 7664 10858 15328 16111 21716 29219 32222 42631 43432 58438 64444 85262 86864 116876 128888 170524 173728 233752 257776 341048 467504 515552 682096 935008 982771 1364192 1433879 1965542 2600491 2867758 3931084 5200982 5735516 7717169 7862168 10401964 11471032 15434338 15724336 20803928 22942064 30868676 31448672 41607856 45884128 61737352 83215712 87466619 123474704 174933238 246949408 349866476 470747309 686828041 699732952 941494618 1373656082 1399465904 1882989236 2747312164 2798931808 3765978472 5494624328 7531956944 10989248656 15063913888 21978497312 41896510501 83793021002 167586042004 335172084008 670344168016 1340688336032