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140013243200441 = 1333739181815681
BaseRepresentation
bin11111110101011101011111…
…100111111111001110111001
3200100202010122122122211100102
4133311131133213333032321
5121322434110224403231
61213441110154445145
741330423455445642
oct3765353747771671
9610663578584312
10140013243200441
11406813127157a6
1213853607a337b5
1360182662b3b90
14268096a0826c9
15112c0ebe7cacb
hex7f575f9ff3b9

140013243200441 has 16 divisors (see below), whose sum is σ = 151234966650768. Its totient is φ = 128856036556800.

The previous prime is 140013243200323. The next prime is 140013243200443. The reversal of 140013243200441 is 144002342310041.

It can be written as a sum of positive squares in 8 ways, for example, as 1168498302841 + 138844744897600 = 1080971^2 + 11783240^2 .

It is a cyclic number.

It is not a de Polignac number, because 140013243200441 - 214 = 140013243184057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (140013243200443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171244121 + ... + 172059801.

It is an arithmetic number, because the mean of its divisors is an integer number (9452185415673).

Almost surely, 2140013243200441 is an apocalyptic number.

It is an amenable number.

140013243200441 is a deficient number, since it is larger than the sum of its proper divisors (11221723450327).

140013243200441 is a wasteful number, since it uses less digits than its factorization.

140013243200441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855212.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 140013243200441 its reverse (144002342310041), we get a palindrome (284015585510482).

The spelling of 140013243200441 in words is "one hundred forty trillion, thirteen billion, two hundred forty-three million, two hundred thousand, four hundred forty-one".

Divisors: 1 13 337 4381 39181 509353 815681 10603853 13203997 171651961 274884497 3573498461 31959197261 415469564393 10770249476957 140013243200441