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140193186133 = 71121331616733
BaseRepresentation
bin1000001010010000101…
…0100100000101010101
3111101212022012202022011
42002210022210011111
54244103423424013
6144223122304221
713062055264120
oct2024412440525
9441768182264
10140193186133
1154501442800
12232064b8071
13102b2901a10
146add1593b7
1539a7b81c3d
hex20a42a4155

140193186133 has 96 divisors (see below), whose sum is σ = 199014373376. Its totient is φ = 95971392000.

The previous prime is 140193186127. The next prime is 140193186157. The reversal of 140193186133 is 331681391041.

It is not a de Polignac number, because 140193186133 - 25 = 140193186101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140193186173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20818435 + ... + 20825167.

Almost surely, 2140193186133 is an apocalyptic number.

140193186133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

140193186133 is a deficient number, since it is larger than the sum of its proper divisors (58821187243).

140193186133 is a wasteful number, since it uses less digits than its factorization.

140193186133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6867 (or 6856 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 140193186133 in words is "one hundred forty billion, one hundred ninety-three million, one hundred eighty-six thousand, one hundred thirty-three".

Divisors: 1 7 11 13 31 61 77 91 121 143 217 341 403 427 671 793 847 1001 1573 1891 2387 2821 3751 4433 4697 5551 6733 7381 8723 11011 13237 20801 24583 26257 31031 47131 48763 51667 61061 74063 87529 95953 145607 172081 208723 228811 270413 341341 410713 518441 612703 671671 814693 962819 1461061 1601677 1892891 2295953 2713399 2874991 2974543 4517843 5339269 5702851 6739733 10591009 12732103 16071671 18993793 20821801 25255483 29847389 31624901 37374883 49696273 58731959 74137063 89124721 140053133 165517339 176788381 208931723 328321279 347873911 411123713 646051549 980371931 1158621373 1540584463 1820690729 2298248953 4522360843 10784091241 12744835103 20027598019 140193186133