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142243776 = 2634231193
BaseRepresentation
bin10000111101001…
…11011111000000
3100220122201210000
420132213133000
5242403300101
622040440000
73345023613
oct1036473700
9326581700
10142243776
1173324944
123b779000
132361471c
1414c6a17a
15c74b486
hex87a77c0

142243776 has 140 divisors (see below), whose sum is σ = 440356752. Its totient is φ = 45315072.

The previous prime is 142243769. The next prime is 142243831. The reversal of 142243776 is 677342241.

142243776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 142243776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118636 + ... + 119828.

Almost surely, 2142243776 is an apocalyptic number.

142243776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142243776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220178376).

142243776 is an abundant number, since it is smaller than the sum of its proper divisors (298112976).

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

142243776 is a wasteful number, since it uses less digits than its factorization.

142243776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1221 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 142243776 is about 11926.5995153690. The cubic root of 142243776 is about 522.0087196324.

The spelling of 142243776 in words is "one hundred forty-two million, two hundred forty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 414 432 552 576 621 648 736 828 864 1104 1193 1242 1296 1472 1656 1728 1863 2208 2386 2484 2592 3312 3579 3726 4416 4772 4968 5184 6624 7158 7452 9544 9936 10737 13248 14316 14904 19088 19872 21474 27439 28632 29808 32211 38176 39744 42948 54878 57264 59616 64422 76352 82317 85896 96633 109756 114528 119232 128844 164634 171792 193266 219512 229056 246951 257688 329268 343584 386532 439024 493902 515376 658536 687168 740853 773064 878048 987804 1030752 1317072 1481706 1546128 1756096 1975608 2061504 2222559 2634144 2963412 3092256 3951216 4445118 5268288 5926824 6184512 7902432 8890236 11853648 15804864 17780472 23707296 35560944 47414592 71121888 142243776