Search a number
-
+
45115144151154 = 23711225414332187
BaseRepresentation
bin10100100001000001100000…
…01001000010000001110010
312220201222001222002001212120
422100200300021002001302
521403131303400314104
6235541335555335110
712334314220663440
oct1220406011020162
9186658058061776
1045115144151154
11134142527a6630
12508774a5b1496
131c2345581913c
14b1d82830bb90
15533835e63cd9
hex290830242072

45115144151154 has 64 divisors (see below), whose sum is σ = 112499921544192. Its totient is φ = 11717696692800.

The previous prime is 45115144151153. The next prime is 45115144151171.

45115144151154 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45115144151153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8247849 + ... + 12580035.

It is an arithmetic number, because the mean of its divisors is an integer number (1757811274128).

Almost surely, 245115144151154 is an apocalyptic number.

45115144151154 is an abundant number, since it is smaller than the sum of its proper divisors (67384777393038).

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

45115144151154 is a wasteful number, since it uses less digits than its factorization.

45115144151154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354751.

The product of its digits is 160000, while the sum is 42.

It can be divided in two parts, 4511514 and 4151154, that added together give a palindrome (8662668).

The spelling of 45115144151154 in words is "forty-five trillion, one hundred fifteen billion, one hundred forty-four million, one hundred fifty-one thousand, one hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 22541 45082 67623 135246 157787 247951 315574 473361 495902 743853 946722 1487706 1735657 3471314 4332187 5206971 8664374 10413942 12996561 25993122 30325309 47654057 60650618 90975927 95308114 142962171 181951854 285924342 333578399 667156798 1000735197 2001470394 97651827167 195303654334 292955481501 585910963002 683562790169 1074170098837 1367125580338 2050688370507 2148340197674 3222510296511 4101376741014 6445020593022 7519190691859 15038381383718 22557572075577 45115144151154