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423031414320 = 243351910307783
BaseRepresentation
bin1100010011111101010…
…00110001111000110000
31111102220210020102221000
412021332220301320300
523412332020224240
6522200555202000
742364053456354
oct6117650617060
91442823212830
10423031414320
11153452228909
1269ba0446300
1330b79079158
1416690d0b464
15b00d861430
hex627ea31e30

423031414320 has 160 divisors (see below), whose sum is σ = 1533798259200. Its totient is φ = 106871083776.

The previous prime is 423031414319. The next prime is 423031414349. The reversal of 423031414320 is 23414130324.

423031414320 is a `hidden beast` number, since 4 + 23 + 0 + 314 + 1 + 4 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 5112852 + ... + 5194931.

It is an arithmetic number, because the mean of its divisors is an integer number (9586239120).

Almost surely, 2423031414320 is an apocalyptic number.

423031414320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

423031414320 is an abundant number, since it is smaller than the sum of its proper divisors (1110766844880).

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

423031414320 is a wasteful number, since it uses less digits than its factorization.

423031414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10307824 (or 10307812 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 423031414320 its reverse (23414130324), we get a palindrome (446445544644).

The spelling of 423031414320 in words is "four hundred twenty-three billion, thirty-one million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 5130 6840 8208 10260 13680 20520 41040 10307783 20615566 30923349 41231132 51538915 61846698 82462264 92770047 103077830 123693396 154616745 164924528 185540094 195847877 206155660 247386792 278310141 309233490 371080188 391695754 412311320 463850235 494773584 556620282 587543631 618466980 742160376 783391508 824622640 927700470 979239385 1113240564 1175087262 1236933960 1391550705 1484320752 1566783016 1762630893 1855400940 1958478770 2226481128 2350174524 2473867920 2783101410 2937718155 3133566032 3525261786 3710801880 3916957540 4452962256 4700349048 5287892679 5566202820 5875436310 7050523572 7421603760 7833915080 8813154465 9400698096 10575785358 11132405640 11750872620 14101047144 15667830160 17626308930 21151570716 22264811280 23501745240 26439463395 28202094288 35252617860 42303141432 47003490480 52878926790 70505235720 84606282864 105757853580 141010471440 211515707160 423031414320