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1142169616 = 2472172712
BaseRepresentation
bin100010000010100…
…0010000000010000
32221121012020011101
41010011002000100
54314343411431
6305200354144
740206165400
oct10405020020
92847166141
101142169616
115367a7a35
1227a615954
13152826c13
14ab998800
156a415961
hex44142010

1142169616 has 135 divisors (see below), whose sum is σ = 2773643997. Its totient is φ = 454218240.

The previous prime is 1142169593. The next prime is 1142169617. The reversal of 1142169616 is 6169612411.

The square root of 1142169616 is 33796.

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

It can be written as a sum of positive squares in only one way, i.e., 889232400 + 252937216 = 29820^2 + 15904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1142169617) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16086861 + ... + 16086931.

Almost surely, 21142169616 is an apocalyptic number.

1142169616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1142169616 is the 33796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142169616

1142169616 is an abundant number, since it is smaller than the sum of its proper divisors (1631474381).

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

1142169616 is an equidigital number, since it uses as much as digits as its factorization.

1142169616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 97 counting only the distinct ones).

The product of its digits is 15552, while the sum is 37.

The cubic root of 1142169616 is about 1045.3062191805.

The spelling of 1142169616 in words is "one billion, one hundred forty-two million, one hundred sixty-nine thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 71 98 112 119 136 142 196 238 272 284 289 392 476 497 568 578 784 833 952 994 1136 1156 1207 1666 1904 1988 2023 2312 2414 3332 3479 3976 4046 4624 4828 5041 6664 6958 7952 8092 8449 9656 10082 13328 13916 14161 16184 16898 19312 20164 20519 27832 28322 32368 33796 35287 40328 41038 55664 56644 59143 67592 70574 80656 82076 85697 113288 118286 135184 141148 143633 164152 171394 226576 236572 247009 282296 287266 328304 342788 473144 494018 564592 574532 599879 685576 946288 988036 1005431 1149064 1199758 1371152 1456849 1976072 2010862 2298128 2399516 2913698 3952144 4021724 4199153 4799032 5827396 8043448 8398306 9598064 10197943 11654792 16086896 16796612 20395886 23309584 33593224 40791772 67186448 71385601 81583544 142771202 163167088 285542404 571084808 1142169616