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140204144241 = 36737972493
BaseRepresentation
bin1000001010010011010…
…0010111011001110001
3111101220001211111000000
42002210310113121301
54244114230103431
6144224153220213
713062250364010
oct2024464273161
9441801744000
10140204144241
1154507647797
122320a101669
13102b4c6a6c5
146b007aca77
1539a8ae89e6
hex20a4d17671

140204144241 has 56 divisors (see below), whose sum is σ = 240877263680. Its totient is φ = 79904162016.

The previous prime is 140204144209. The next prime is 140204144279. The reversal of 140204144241 is 142441402041.

It is a happy number.

140204144241 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 0 + 414 + 4 + 241 = 666.

It is not a de Polignac number, because 140204144241 - 25 = 140204144209 is a prime.

It is a super-2 number, since 2×1402041442412 (a number of 23 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (140204134241) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 1897791 + ... + 1970283.

Almost surely, 2140204144241 is an apocalyptic number.

It is an amenable number.

140204144241 is a deficient number, since it is larger than the sum of its proper divisors (100673119439).

140204144241 is an frugal number, since it uses more digits than its factorization.

140204144241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72897 (or 72882 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 140204144241 its reverse (142441402041), we get a palindrome (282645546282).

The spelling of 140204144241 in words is "one hundred forty billion, two hundred four million, one hundred forty-four thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 27 63 81 189 243 379 567 729 1137 1701 2653 3411 5103 7959 10233 23877 30699 71631 72493 92097 214893 217479 276291 507451 644679 652437 1522353 1934037 1957311 4567059 5871933 13701177 17615799 27474847 41103531 52847397 82424541 123310593 192323929 247273623 369931779 576971787 741820869 1730915361 2225462607 5192746083 6676387821 15578238249 20029163463 46734714747 140204144241