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142441104 = 24313535973
BaseRepresentation
bin10000111110101…
…11101010010000
3100221000202110110
420133113222100
5242431103404
622045001320
73346505121
oct1037275220
9327022413
10142441104
117344a123
123b853240
13236834a0
1414cbc048
15c789b89
hex87d7a90

142441104 has 160 divisors (see below), whose sum is σ = 416223360. Its totient is φ = 41693184.

The previous prime is 142441021. The next prime is 142441109. The reversal of 142441104 is 401144241.

142441104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (142441109) 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, 1951212 + ... + 1951284.

It is an arithmetic number, because the mean of its divisors is an integer number (2601396).

Almost surely, 2142441104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142441104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208111680).

142441104 is an abundant number, since it is smaller than the sum of its proper divisors (273782256).

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

142441104 is a wasteful number, since it uses less digits than its factorization.

142441104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 142441104 is about 11934.8692493885. The cubic root of 142441104 is about 522.2499940230.

Adding to 142441104 its reverse (401144241), we get a palindrome (543585345).

The spelling of 142441104 in words is "one hundred forty-two million, four hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 59 73 78 104 106 118 146 156 159 177 208 212 219 236 292 312 318 354 424 438 472 584 624 636 689 708 767 848 876 944 949 1168 1272 1378 1416 1534 1752 1898 2067 2301 2544 2756 2832 2847 3068 3127 3504 3796 3869 4134 4307 4602 5512 5694 6136 6254 7592 7738 8268 8614 9204 9381 11024 11388 11607 12272 12508 12921 15184 15476 16536 17228 18408 18762 22776 23214 25016 25842 30952 33072 34456 36816 37524 40651 45552 46428 50032 50297 51684 55991 61904 68912 75048 81302 92856 100594 103368 111982 121953 150096 150891 162604 167973 185712 201188 206736 223964 228271 243906 301782 325208 335946 402376 447928 456542 487812 603564 650416 671892 684813 804752 895856 913084 975624 1207128 1343784 1369626 1826168 1951248 2414256 2687568 2739252 2967523 3652336 5478504 5935046 8902569 10957008 11870092 17805138 23740184 35610276 47480368 71220552 142441104