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1420320323032 = 2313177117963211
BaseRepresentation
bin10100101010110001101…
…100000011010111011000
312000210002120021011022121
4110222301230003113120
5141232304000314112
63004253001431024
7204420601356232
oct24526154032730
95023076234277
101420320323032
114a8399881796
121ab32649b474
13a3c21776a60
144ca5b275252
1526e2c0a1407
hex14ab1b035d8

1420320323032 has 128 divisors (see below), whose sum is σ = 3096680025600. Its totient is φ = 604874188800.

The previous prime is 1420320323021. The next prime is 1420320323039. The reversal of 1420320323032 is 2303230230241.

It is a junction number, because it is equal to n+sod(n) for n = 1420320322988 and 1420320323006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420320323039) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22437907 + ... + 22501117.

It is an arithmetic number, because the mean of its divisors is an integer number (24192812700).

Almost surely, 21420320323032 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 1420320323032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548340012800).

1420320323032 is an abundant number, since it is smaller than the sum of its proper divisors (1676359702568).

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

1420320323032 is a wasteful number, since it uses less digits than its factorization.

1420320323032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63497 (or 63493 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 1420320323032 its reverse (2303230230241), we get a palindrome (3723550553273).

The spelling of 1420320323032 in words is "one trillion, four hundred twenty billion, three hundred twenty million, three hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 71 104 136 142 179 221 284 358 442 568 716 884 923 1207 1432 1768 1846 2327 2414 3043 3692 4654 4828 6086 7384 9308 9656 12172 12709 15691 18616 24344 25418 31382 39559 50836 62764 63211 79118 101672 125528 126422 158236 165217 216053 252844 316472 330434 432106 505688 660868 821743 864212 1074587 1321736 1643486 1728424 2149174 2808689 3286972 4298348 4487981 5617378 6573944 8596696 8975962 11234756 11314769 13969631 17951924 22469512 22629538 27939262 35903848 45259076 55878524 58343753 76295677 90518152 111757048 116687506 147091997 152591354 192351073 233375012 294183994 305182708 384702146 466750024 588367988 610365416 769404292 803348599 991843801 1176735976 1538808584 1606697198 1983687602 2500563949 3213394396 3967375204 5001127898 6426788792 7934750408 10002255796 10443531787 13656926183 20004511592 20887063574 27313852366 41774127148 54627704732 83548254296 109255409464 177540040379 355080080758 710160161516 1420320323032