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1434342411320 = 235713787500699
BaseRepresentation
bin10100110111110101011…
…110000100110000111000
312002010021210022001022212
4110313311132010300320
5142000013124130240
63014532223434252
7205425225222140
oct24676536046070
95063253261285
101434342411320
11503334997205
121b1b9a455988
13a534781a710
144d5cb65b920
152749d0e9165
hex14df5784c38

1434342411320 has 128 divisors (see below), whose sum is σ = 3977080128000. Its totient is φ = 453368019456.

The previous prime is 1434342411317. The next prime is 1434342411343. The reversal of 1434342411320 is 231142434341.

It is a super-2 number, since 2×14343424113202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 2614331 + ... + 3115029.

It is an arithmetic number, because the mean of its divisors is an integer number (31070938500).

Almost surely, 21434342411320 is an apocalyptic number.

1434342411320 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 1434342411320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988540064000).

1434342411320 is an abundant number, since it is smaller than the sum of its proper divisors (2542737716680).

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

1434342411320 is a wasteful number, since it uses less digits than its factorization.

1434342411320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501517 (or 501513 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 1434342411320 its reverse (231142434341), we get a palindrome (1665484845661).

The spelling of 1434342411320 in words is "one trillion, four hundred thirty-four billion, three hundred forty-two million, four hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 787 910 1574 1820 3148 3640 3935 5509 6296 7870 10231 11018 15740 20462 22036 27545 31480 40924 44072 51155 55090 71617 81848 102310 110180 143234 204620 220360 286468 358085 409240 500699 572936 716170 1001398 1432340 2002796 2503495 2864680 3504893 4005592 5006990 6509087 7009786 10013980 13018174 14019572 17524465 20027960 26036348 28039144 32545435 35048930 45563609 52072696 65090870 70097860 91127218 130181740 140195720 182254436 227818045 260363480 364508872 394050113 455636090 788100226 911272180 1576200452 1822544360 1970250565 2758350791 3152400904 3940501130 5122651469 5516701582 7881002260 10245302938 11033403164 13791753955 15762004520 20490605876 22066806328 25613257345 27583507910 35858560283 40981211752 51226514690 55167015820 71717120566 102453029380 110334031640 143434241132 179292801415 204906058760 286868482264 358585602830 717171205660 1434342411320