Search a number
-
+
430421628555 = 32579337443811
BaseRepresentation
bin1100100001101110010…
…00001101011010001011
31112010222211020020000100
412100313020031122023
524023000414103210
6525422153140443
743045151322432
oct6206710153213
91463884206010
10430421628555
111565a4874186
126b5033ba723
1331786178499
1416b92602119
15b2e25595c0
hex643720d68b

430421628555 has 96 divisors (see below), whose sum is σ = 760396815360. Its totient is φ = 225191715840.

The previous prime is 430421628551. The next prime is 430421628563. The reversal of 430421628555 is 555826124034.

430421628555 is a `hidden beast` number, since 4 + 30 + 4 + 2 + 1 + 62 + 8 + 555 = 666.

It is not a de Polignac number, because 430421628555 - 22 = 430421628551 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 430421628555.

It is not an unprimeable number, because it can be changed into a prime (430421628551) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 530729100 + ... + 530729910.

It is an arithmetic number, because the mean of its divisors is an integer number (7920800160).

Almost surely, 2430421628555 is an apocalyptic number.

430421628555 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

430421628555 is a deficient number, since it is larger than the sum of its proper divisors (329975186805).

430421628555 is a wasteful number, since it uses less digits than its factorization.

430421628555 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 430421628555 in words is "four hundred thirty billion, four hundred twenty-one million, six hundred twenty-eight thousand, five hundred fifty-five".

Divisors: 1 3 5 9 15 45 79 237 337 395 443 711 811 1011 1185 1329 1685 2215 2433 3033 3555 3987 4055 5055 6645 7299 12165 15165 19935 26623 34997 36495 64069 79869 104991 133115 149291 174985 192207 239607 273307 314973 320345 359273 399345 447873 524955 576621 746455 819921 961035 1077819 1198035 1343619 1366535 1574865 1796365 2239365 2459763 2883105 3233457 4099605 5389095 6718095 11793989 12298815 16167285 21591253 28382567 35381967 58969945 64773759 85147701 106145901 107956265 121075001 141912835 176909835 194321277 255443103 323868795 363225003 425738505 530729505 605375005 971606385 1089675009 1277215515 1816125015 5448375045 9564925079 28694775237 47824625395 86084325711 143473876185 430421628555