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1320004334440 = 2351183157230221
BaseRepresentation
bin10011001101010110011…
…000111011001101101000
311200012011101000221012201
4103031112120323031220
5133111332102200230
62450222425545544
7164236636500211
oct23152630731550
94605141027181
101320004334440
114698a10417a0
121939aa9452b4
139762565bc1c
1447c6227c408
152450a24a5ca
hex1335663b368

1320004334440 has 128 divisors (see below), whose sum is σ = 3299946894720. Its totient is φ = 471195878400.

The previous prime is 1320004334437. The next prime is 1320004334501. The reversal of 1320004334440 is 444334000231.

It is a super-2 number, since 2×13200043344402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1320004334399 and 1320004334408.

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, 5618530 + ... + 5848750.

It is an arithmetic number, because the mean of its divisors is an integer number (25780835115).

Almost surely, 21320004334440 is an apocalyptic number.

1320004334440 is a gapful number since it is divisible by the number (10) 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 1320004334440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649973447360).

1320004334440 is an abundant number, since it is smaller than the sum of its proper divisors (1979942560280).

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

1320004334440 is a wasteful number, since it uses less digits than its factorization.

1320004334440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230483 (or 230479 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 1320004334440 its reverse (444334000231), we get a palindrome (1764338334671).

The spelling of 1320004334440 in words is "one trillion, three hundred twenty billion, four million, three hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 110 157 166 220 314 332 415 440 628 664 785 830 913 1256 1570 1660 1727 1826 3140 3320 3454 3652 4565 6280 6908 7304 8635 9130 13031 13816 17270 18260 26062 34540 36520 52124 65155 69080 104248 130310 143341 230221 260620 286682 460442 521240 573364 716705 920884 1146728 1151105 1433410 1841768 2302210 2532431 2866820 4604420 5064862 5733640 9208840 10129724 12662155 19108343 20259448 25324310 36144697 38216686 50648620 72289394 76433372 95541715 101297240 144578788 152866744 180723485 191083430 210191773 289157576 361446970 382166860 397591667 420383546 722893940 764333720 795183334 840767092 1050958865 1445787880 1590366668 1681534184 1987958335 2101917730 3000009851 3180733336 3975916670 4203835460 6000019702 7951833340 8407670920 12000039404 15000049255 15903666680 24000078808 30000098510 33000108361 60000197020 66000216722 120000394040 132000433444 165000541805 264000866888 330001083610 660002167220 1320004334440