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2144134422 = 233891094093
BaseRepresentation
bin111111111001100…
…1110010100010110
312112102120022111000
41333303032110112
513342344300142
6552432124130
7104063561523
oct17763162426
95472508430
102144134422
11a00342a21
124ba096646
132822a14c1
14164a9814a
15c838414c
hex7fcce516

2144134422 has 64 divisors (see below), whose sum is σ = 4863672000. Its totient is φ = 700026624.

The previous prime is 2144134411. The next prime is 2144134471. The reversal of 2144134422 is 2244314412.

2144134422 is a `hidden beast` number, since 214 + 4 + 1 + 3 + 442 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 521808 + ... + 525900.

It is an arithmetic number, because the mean of its divisors is an integer number (75994875).

Almost surely, 22144134422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144134422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431836000).

2144134422 is an abundant number, since it is smaller than the sum of its proper divisors (2719537578).

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

2144134422 is a wasteful number, since it uses less digits than its factorization.

2144134422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302 (or 4296 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2144134422 is about 46304.7991249287. The cubic root of 2144134422 is about 1289.4880932649.

Adding to 2144134422 its reverse (2244314412), we get a palindrome (4388448834).

The spelling of 2144134422 in words is "two billion, one hundred forty-four million, one hundred thirty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 89 109 178 218 267 327 534 654 801 981 1602 1962 2403 2943 4093 4806 5886 8186 9701 12279 19402 24558 29103 36837 58206 73674 87309 110511 174618 221022 261927 364277 446137 523854 728554 892274 1092831 1338411 2185662 2676822 3278493 4015233 6556986 8030466 9835479 12045699 19670958 24091398 39706193 79412386 119118579 238237158 357355737 714711474 1072067211 2144134422