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1424166383380 = 2251321743357241
BaseRepresentation
bin10100101110010110111…
…011100110111100010100
312001011000121022021021011
4110232112323212330110
5141313143043232010
63010130352102004
7204615112344166
oct24562673467424
95034017267234
101424166383380
114a9a92882864
121b001a534904
13a43b551a300
144cd03d96936
15270a4a69a8a
hex14b96ee6f14

1424166383380 has 144 divisors (see below), whose sum is σ = 3436983237744. Its totient is φ = 493762314240.

The previous prime is 1424166383369. The next prime is 1424166383401. The reversal of 1424166383380 is 833836614241.

It can be written as a sum of positive squares in 24 ways, for example, as 1411999852176 + 12166531204 = 1188276^2 + 110302^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24851560 + ... + 24908800.

It is an arithmetic number, because the mean of its divisors is an integer number (23867939151).

Almost surely, 21424166383380 is an apocalyptic number.

1424166383380 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 1424166383380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718491618872).

1424166383380 is an abundant number, since it is smaller than the sum of its proper divisors (2012816854364).

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

1424166383380 is a wasteful number, since it uses less digits than its factorization.

1424166383380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57726 (or 57711 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

The spelling of 1424166383380 in words is "one trillion, four hundred twenty-four billion, one hundred sixty-six million, three hundred eighty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 169 170 221 260 338 340 433 442 676 845 866 884 1105 1690 1732 2165 2210 2873 3380 4330 4420 5629 5746 7361 8660 11258 11492 14365 14722 22516 28145 28730 29444 36805 56290 57241 57460 73177 73610 95693 112580 114482 146354 147220 191386 228964 286205 292708 365885 382772 478465 572410 731770 744133 956930 973097 1144820 1244009 1463540 1488266 1913860 1946194 2488018 2976532 3720665 3892388 4865485 4976036 6220045 7441330 9673729 9730970 12440090 12650261 14882660 19347458 19461940 24785353 24880180 25300522 38694916 48368645 49570706 50601044 63251305 96737290 99141412 123926765 126502610 164453393 193474580 247853530 253005220 322209589 328906786 421351001 495707060 644419178 657813572 822266965 842702002 1288838356 1611047945 1644533930 1685404004 2106755005 3222095890 3289067860 4188724657 4213510010 5477563013 6444191780 8377449314 8427020020 10955126026 16754898628 20943623285 21910252052 27387815065 41887246570 54775630130 71208319169 83774493140 109551260260 142416638338 284833276676 356041595845 712083191690 1424166383380