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142315024 = 24173779179
BaseRepresentation
bin10000111101110…
…00111000010000
3100220210100111211
420132320320100
5242413040044
622042145504
73345441415
oct1036707020
9326710454
10142315024
1173373425
123b7b2294
132363ac97
1414c8810c
15c762634
hex87b8e10

142315024 has 80 divisors (see below), whose sum is σ = 305337600. Its totient is φ = 63977472.

The previous prime is 142315009. The next prime is 142315031. The reversal of 142315024 is 420513241.

It is a super-2 number, since 2×1423150242 = 40507132112241152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142314986 and 142315004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 794967 + ... + 795145.

It is an arithmetic number, because the mean of its divisors is an integer number (3816720).

Almost surely, 2142315024 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 142315024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152668800).

142315024 is an abundant number, since it is smaller than the sum of its proper divisors (163022576).

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

142315024 is a wasteful number, since it uses less digits than its factorization.

142315024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 142315024 is about 11929.5860783181. The cubic root of 142315024 is about 522.0958608073.

Adding to 142315024 its reverse (420513241), we get a palindrome (562828265).

It can be divided in two parts, 1 and 42315024, that added together give a square (42315025 = 65052).

The spelling of 142315024 in words is "one hundred forty-two million, three hundred fifteen thousand, twenty-four".

Divisors: 1 2 4 8 16 17 34 37 68 74 79 136 148 158 179 272 296 316 358 592 629 632 716 1258 1264 1343 1432 2516 2686 2864 2923 3043 5032 5372 5846 6086 6623 10064 10744 11692 12172 13246 14141 21488 23384 24344 26492 28282 46768 48688 49691 52984 56564 99382 105968 112591 113128 198764 225182 226256 240397 397528 450364 480794 523217 795056 900728 961588 1046434 1801456 1923176 2092868 3846352 4185736 8371472 8894689 17789378 35578756 71157512 142315024