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142114824 = 2334219313
BaseRepresentation
bin10000111100010…
…00000000001000
3100220102011220000
420132020000020
5242340133244
622034003000
73343645635
oct1036100010
9326364800
10142114824
1173246a75
123b716460
132359ab17
1414c3518c
15c723169
hex8788008

142114824 has 40 divisors (see below), whose sum is σ = 398054910. Its totient is φ = 47371392.

The previous prime is 142114823. The next prime is 142114837. The reversal of 142114824 is 428411241.

It can be written as a sum of positive squares in only one way, i.e., 76212900 + 65901924 = 8730^2 + 8118^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (142114823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 109009 + ... + 110304.

Almost surely, 2142114824 is an apocalyptic number.

It is an amenable number.

142114824 is an abundant number, since it is smaller than the sum of its proper divisors (255940086).

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

142114824 is a wasteful number, since it uses less digits than its factorization.

142114824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219331 (or 219318 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 142114824 is about 11921.1922222570. The cubic root of 142114824 is about 521.8509284988.

The spelling of 142114824 in words is "one hundred forty-two million, one hundred fourteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 219313 438626 657939 877252 1315878 1754504 1973817 2631756 3947634 5263512 5921451 7895268 11842902 15790536 17764353 23685804 35528706 47371608 71057412 142114824