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144500041305 = 32529313571871
BaseRepresentation
bin1000011010010011011…
…1111010011001011001
3111210222110022122220200
42012210313322121121
54331414002310210
6150214333212413
713303563041154
oct2064467723131
9453873278820
10144500041305
1156311562844
1224008931109
131081ac81529
146dcb148c9b
153b5ad1c0c0
hex21a4dfa659

144500041305 has 48 divisors (see below), whose sum is σ = 267461775360. Its totient is φ = 72008899200.

The previous prime is 144500041271. The next prime is 144500041307. The reversal of 144500041305 is 503140005441.

It is a happy number.

144500041305 is a `hidden beast` number, since 144 + 500 + 0 + 4 + 13 + 0 + 5 = 666.

It is not a de Polignac number, because 144500041305 - 29 = 144500040793 is a prime.

It is a super-2 number, since 2×1445000413052 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144500041307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1745481 + ... + 1826390.

It is an arithmetic number, because the mean of its divisors is an integer number (5572120320).

Almost surely, 2144500041305 is an apocalyptic number.

144500041305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144500041305 is a deficient number, since it is larger than the sum of its proper divisors (122961734055).

144500041305 is a wasteful number, since it uses less digits than its factorization.

144500041305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3571942 (or 3571939 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 144500041305 its reverse (503140005441), we get a palindrome (647640046746).

The spelling of 144500041305 in words is "one hundred forty-four billion, five hundred million, forty-one thousand, three hundred five".

Divisors: 1 3 5 9 15 29 31 45 87 93 145 155 261 279 435 465 899 1305 1395 2697 4495 8091 13485 40455 3571871 10715613 17859355 32146839 53578065 103584259 110728001 160734195 310752777 332184003 517921295 553640005 932258331 996552009 1553763885 1660920015 3211112029 4661291655 4982760045 9633336087 16055560145 28900008261 48166680435 144500041305