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140412424032 = 2532487543139
BaseRepresentation
bin1000001011000100111…
…0111000111101100000
3111102102120202012011100
42002301032320331200
54300031040032112
6144300553314400
713100356624506
oct2026116707540
9442376665140
10140412424032
1154604175451
1223267a05a00
131031916359a
146b20308676
1539bc03b2dc
hex20b13b8f60

140412424032 has 36 divisors (see below), whose sum is σ = 399297831660. Its totient is φ = 46804141248.

The previous prime is 140412424021. The next prime is 140412424081. The reversal of 140412424032 is 230424214041.

140412424032 is a `hidden beast` number, since 1 + 4 + 0 + 412 + 4 + 240 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1404124240322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140412423987 and 140412424005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 243771282 + ... + 243771857.

It is an arithmetic number, because the mean of its divisors is an integer number (11091606435).

Almost surely, 2140412424032 is an apocalyptic number.

140412424032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140412424032 is an abundant number, since it is smaller than the sum of its proper divisors (258885407628).

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

140412424032 is a wasteful number, since it uses less digits than its factorization.

140412424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487543155 (or 487543144 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 140412424032 its reverse (230424214041), we get a palindrome (370836638073).

The spelling of 140412424032 in words is "one hundred forty billion, four hundred twelve million, four hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 487543139 975086278 1462629417 1950172556 2925258834 3900345112 4387888251 5850517668 7800690224 8775776502 11701035336 15601380448 17551553004 23402070672 35103106008 46804141344 70206212016 140412424032