Search a number
-
+
1415062663245 = 3257112791146323
BaseRepresentation
bin10100100101111000010…
…011101011000001001101
312000021112011001100222100
4110211320103223001031
5141141022020210440
63002023143505313
7204143400115110
oct24457023530115
95007464040870
101415062663245
114a6140a8a110
121aa2b9758239
13a359442316a
144c6bcca2577
1526c20701230
hex149784eb04d

1415062663245 has 96 divisors (see below), whose sum is σ = 3059122120704. Its totient is φ = 587863267200.

The previous prime is 1415062663181. The next prime is 1415062663271. The reversal of 1415062663245 is 5423662605141.

1415062663245 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 0 + 6 + 2 + 6 + 632 + 4 + 5 = 666.

It is not a de Polignac number, because 1415062663245 - 26 = 1415062663181 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 1415062663245.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 9597654 + ... + 9743976.

It is an arithmetic number, because the mean of its divisors is an integer number (31865855424).

Almost surely, 21415062663245 is an apocalyptic number.

1415062663245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1415062663245 is an abundant number, since it is smaller than the sum of its proper divisors (1644059457459).

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

1415062663245 is a wasteful number, since it uses less digits than its factorization.

1415062663245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149143 (or 149140 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 1415062663245 in words is "one trillion, four hundred fifteen billion, sixty-two million, six hundred sixty-three thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 2791 3465 8373 13955 19537 25119 30701 41865 58611 92103 97685 125595 146323 153505 175833 214907 276309 293055 438969 460515 644721 731615 879165 1024261 1074535 1316907 1381545 1609553 1934163 2194845 3072783 3223605 4828659 5121305 6584535 8047765 9218349 9670815 11266871 14485977 15363915 24143295 33800613 46091745 56334355 72429885 101401839 169003065 408387493 507009195 1225162479 2041937465 2858712451 3675487437 4492262423 6125812395 8576137353 13476787269 14293562255 18377437185 22461312115 25728412059 31445836961 40430361807 42880686765 67383936345 94337510883 128642060295 157229184805 202151809035 283012532649 471687554415 1415062663245