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141040656 = 2433417963
BaseRepresentation
bin10000110100000…
…01110000010000
3100211101121102000
420122001300100
5242101300111
621554554000
73331553151
oct1032016020
9324347360
10141040656
1172682a29
123b298900
13232b2c13
1414a35928
15c5aec56
hex8681c10

141040656 has 80 divisors (see below), whose sum is σ = 414765120. Its totient is φ = 45861120.

The previous prime is 141040643. The next prime is 141040673. The reversal of 141040656 is 656040141.

141040656 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 4 + 0 + 656 = 666.

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

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, 13731 + ... + 21693.

It is an arithmetic number, because the mean of its divisors is an integer number (5184564).

Almost surely, 2141040656 is an apocalyptic number.

141040656 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 141040656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207382560).

141040656 is an abundant number, since it is smaller than the sum of its proper divisors (273724464).

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

141040656 is a wasteful number, since it uses less digits than its factorization.

141040656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8021 (or 8009 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 141040656 is about 11876.0538900765. The cubic root of 141040656 is about 520.5328069414.

Adding to 141040656 its reverse (656040141), we get a palindrome (797080797).

The spelling of 141040656 in words is "one hundred forty-one million, forty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 984 1107 1476 1968 2214 2952 4428 5904 7963 8856 15926 17712 23889 31852 47778 63704 71667 95556 127408 143334 191112 215001 286668 326483 382224 430002 573336 652966 860004 979449 1146672 1305932 1720008 1958898 2611864 2938347 3440016 3917796 5223728 5876694 7835592 8815041 11753388 15671184 17630082 23506776 35260164 47013552 70520328 141040656