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144354050511 = 31171139443243
BaseRepresentation
bin1000011001110000101…
…1000000000111001111
3111210121021121120012020
42012130023000013033
54331114114104021
6150152040141223
713300141120056
oct2063413000717
9453537546166
10144354050511
11562471097a0
1223b87a67813
13107c6957448
146db59c539d
153b4d0d07c6
hex219c2c01cf

144354050511 has 32 divisors (see below), whose sum is σ = 214459176960. Its totient is φ = 85634354400.

The previous prime is 144354050497. The next prime is 144354050513. The reversal of 144354050511 is 115050453441.

It is not a de Polignac number, because 144354050511 - 210 = 144354049487 is a prime.

It is a super-2 number, since 2×1443540505112 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144354050513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104056 + ... + 547298.

It is an arithmetic number, because the mean of its divisors is an integer number (6701849280).

Almost surely, 2144354050511 is an apocalyptic number.

144354050511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

144354050511 is a deficient number, since it is larger than the sum of its proper divisors (70105126449).

144354050511 is a wasteful number, since it uses less digits than its factorization.

144354050511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443467.

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 144354050511 in words is "one hundred forty-four billion, three hundred fifty-four million, fifty thousand, five hundred eleven".

Divisors: 1 3 11 33 71 139 213 417 781 1529 2343 4587 9869 29607 108559 325677 443243 1329729 4875673 14627019 31470253 61610777 94410759 184832331 346172783 677718547 1038518349 2033155641 4374365167 13123095501 48118016837 144354050511