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7142447169 = 321121321972
BaseRepresentation
bin1101010011011100…
…10001100001000001
3200102202202220120100
412221232101201001
5104111431302134
63140423233013
7341665541064
oct65156214101
920382686510
107142447169
1130357a8300
121473ba8769
1389a98c100
144ba83a8db
152bc0a5999
hex1a9b91841

7142447169 has 81 divisors (see below), whose sum is σ = 12342087849. Its totient is φ = 3975491520.

The previous prime is 7142447131. The next prime is 7142447173. The reversal of 7142447169 is 9617442417.

The square root of 7142447169 is 84513.

It is a perfect power (a square), and thus also a powerful number.

7142447169 is a `hidden beast` number, since 7 + 1 + 42 + 447 + 169 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 444661569 + 6697785600 = 21087^2 + 81840^2 .

It is not a de Polignac number, because 7142447169 - 221 = 7140350017 is a prime.

It is a super-2 number, since 2×71424471692 (a number of 21 digits) contains 22 as substring.

Its product of digits (338688) is a multiple of the sum of its prime divisors (224).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7142447129) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36255979 + ... + 36256175.

Almost surely, 27142447169 is an apocalyptic number.

7142447169 is the 84513-rd square number.

7142447169 is the 42257-th centered octagonal number.

It is an amenable number.

7142447169 is a deficient number, since it is larger than the sum of its proper divisors (5199640680).

7142447169 is a wasteful number, since it uses less digits than its factorization.

7142447169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 224 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The cubic root of 7142447169 is about 1925.8199391389.

The spelling of 7142447169 in words is "seven billion, one hundred forty-two million, four hundred forty-seven thousand, one hundred sixty-nine".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 169 197 363 429 507 591 1089 1287 1521 1573 1773 1859 2167 2561 4719 5577 6501 7683 14157 16731 19503 20449 23049 23837 28171 33293 38809 61347 71511 84513 99879 116427 184041 214533 253539 299637 309881 349281 366223 426899 504517 929643 1098669 1280697 1513551 2788929 3296007 3842091 4028453 4540653 4695889 5549687 6558721 12085359 14087667 16649061 19676163 36256077 42263001 49947183 59028489 61046557 72145931 183139671 216437793 549419013 649313379 793605241 2380815723 7142447169