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144814418441 = 7111880706733
BaseRepresentation
bin1000011011011110011…
…1001010101000001001
3111211210100212200021022
42012313213022220021
54333034442342231
6150305443322225
713314431150450
oct2066747125011
9454710780238
10144814418441
1156462a66a60
1224096080375
131086b1442c4
14701abc1b97
153b7871ac7b
hex21b79caa09

144814418441 has 8 divisors (see below), whose sum is σ = 180547846464. Its totient is φ = 112842403920.

The previous prime is 144814418431. The next prime is 144814418459.

144814418441 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 144814418441 - 26 = 144814418377 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144814418392 and 144814418401.

It is not an unprimeable number, because it can be changed into a prime (144814418431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 940353290 + ... + 940353443.

It is an arithmetic number, because the mean of its divisors is an integer number (22568480808).

Almost surely, 2144814418441 is an apocalyptic number.

144814418441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144814418441 is a deficient number, since it is larger than the sum of its proper divisors (35733428023).

144814418441 is a wasteful number, since it uses less digits than its factorization.

144814418441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880706751.

The product of its digits is 262144, while the sum is 44.

The spelling of 144814418441 in words is "one hundred forty-four billion, eight hundred fourteen million, four hundred eighteen thousand, four hundred forty-one".

Divisors: 1 7 11 77 1880706733 13164947131 20687774063 144814418441