Search a number
-
+
145152252441345 = 35191053194835843
BaseRepresentation
bin100001000000001111100100…
…011100011111001100000001
3201000221102100001012001112110
4201000033210130133030001
5123011133303111110340
61232414005121445533
742400622062324662
oct4100174434371401
9630842301161473
10145152252441345
11422827a7434426
121434358b7a08a9
1362cba4c8b7136
1427bb599633369
1511bab23417680
hex8403e471f301

145152252441345 has 32 divisors (see below), whose sum is σ = 244469323238400. Its totient is φ = 73339373916864.

The previous prime is 145152252441337. The next prime is 145152252441359. The reversal of 145152252441345 is 543144252251541.

It is a happy number.

It is not a de Polignac number, because 145152252441345 - 23 = 145152252441337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 145152252441294 and 145152252441303.

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, 27597994 + ... + 32433836.

It is an arithmetic number, because the mean of its divisors is an integer number (7639666351200).

Almost surely, 2145152252441345 is an apocalyptic number.

145152252441345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145152252441345 is a deficient number, since it is larger than the sum of its proper divisors (99317070797055).

145152252441345 is a wasteful number, since it uses less digits than its factorization.

145152252441345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4941189.

The product of its digits is 3840000, while the sum is 48.

The spelling of 145152252441345 in words is "one hundred forty-five trillion, one hundred fifty-two billion, two hundred fifty-two million, four hundred forty-one thousand, three hundred forty-five".

Divisors: 1 3 5 15 19 57 95 285 105319 315957 526595 1579785 2001061 4835843 6003183 10005305 14507529 24179215 30015915 72537645 91881017 275643051 459405085 1378215255 509306148917 1527918446751 2546530744585 7639592233755 9676816829423 29030450488269 48384084147115 145152252441345