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14221142144 = 271123439141
BaseRepresentation
bin11010011111010010…
…10110100010000000
31100201002120212120022
431033221112202000
5213111103022034
610311052233012
71012261466546
oct151751264200
940632525508
1014221142144
116038511640
12290a76b768
131458389411
1498c9ddd96
15583766b2e
hex34fa56880

14221142144 has 64 divisors (see below), whose sum is σ = 32250588480. Its totient is φ = 6183091200.

The previous prime is 14221142101. The next prime is 14221142149. The reversal of 14221142144 is 44124112241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14221142149) 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, 187187 + ... + 251954.

It is an arithmetic number, because the mean of its divisors is an integer number (503915445).

Almost surely, 214221142144 is an apocalyptic number.

It is an amenable number.

14221142144 is an abundant number, since it is smaller than the sum of its proper divisors (18029446336).

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

14221142144 is a wasteful number, since it uses less digits than its factorization.

14221142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439189 (or 439177 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

Adding to 14221142144 its reverse (44124112241), we get a palindrome (58345254385).

The spelling of 14221142144 in words is "fourteen billion, two hundred twenty-one million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 352 368 506 704 736 1012 1408 1472 2024 2944 4048 8096 16192 32384 439141 878282 1756564 3513128 4830551 7026256 9661102 10100243 14052512 19322204 20200486 28105024 38644408 40400972 56210048 77288816 80801944 111102673 154577632 161603888 222205346 309155264 323207776 444410692 618310528 646415552 888821384 1292831104 1777642768 3555285536 7110571072 14221142144