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142241040 = 243251711621
BaseRepresentation
bin10000111101001…
…10110100010000
3100220122121000200
420132212310100
5242403203130
622040415200
73345012624
oct1036466420
9326577020
10142241040
1173322887
123b777500
13236133c6
1414c69184
15c74a760
hex87a6d10

142241040 has 120 divisors (see below), whose sum is σ = 505835928. Its totient is φ = 35696640.

The previous prime is 142241017. The next prime is 142241041. The reversal of 142241040 is 40142241.

It can be written as a sum of positive squares in 4 ways, for example, as 6471936 + 135769104 = 2544^2 + 11652^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142241041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6430 + ... + 18050.

Almost surely, 2142241040 is an apocalyptic number.

142241040 is a gapful number since it is divisible by the number (10) 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 142241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252917964).

142241040 is an abundant number, since it is smaller than the sum of its proper divisors (363594888).

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

142241040 is a wasteful number, since it uses less digits than its factorization.

142241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11657 (or 11648 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 142241040 is about 11926.4848132214. The cubic root of 142241040 is about 522.0053727372.

Adding to 142241040 its reverse (40142241), we get a palindrome (182383281).

The spelling of 142241040 in words is "one hundred forty-two million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 11621 12240 23242 34863 46484 58105 69726 92968 104589 116210 139452 174315 185936 197557 209178 232420 278904 348630 395114 418356 464840 522945 557808 592671 697260 790228 836712 929680 987785 1045890 1185342 1394520 1580456 1673424 1778013 1975570 2091780 2370684 2789040 2963355 3160912 3556026 3951140 4183560 4741368 5926710 7112052 7902280 8367120 8890065 9482736 11853420 14224104 15804560 17780130 23706840 28448208 35560260 47413680 71120520 142241040