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140022223404141 = 3135983972530119
BaseRepresentation
bin11111110101100101110110…
…111000101111110001101101
3200100202222211111111102221110
4133311211312320233301231
5121323111003142413031
61213445153231422233
741331162141066561
oct3765456670576155
9610688744442843
10140022223404141
1140685100815751
12138552b3384979
136019067922690
14268117c9c36a1
15112c475548c46
hex7f5976e2fc6d

140022223404141 has 32 divisors (see below), whose sum is σ = 204709010688000. Its totient is φ = 84606092526528.

The previous prime is 140022223404131. The next prime is 140022223404233. The reversal of 140022223404141 is 141404322220041.

It is not a de Polignac number, because 140022223404141 - 211 = 140022223402093 is a prime.

It is a super-2 number, since 2×1400222234041412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140022223404099 and 140022223404108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140022223404131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34334521 + ... + 38195598.

It is an arithmetic number, because the mean of its divisors is an integer number (6397156584000).

Almost surely, 2140022223404141 is an apocalyptic number.

It is an amenable number.

140022223404141 is a deficient number, since it is larger than the sum of its proper divisors (64686787283859).

140022223404141 is a wasteful number, since it uses less digits than its factorization.

140022223404141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72531033.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 140022223404141 its reverse (141404322220041), we get a palindrome (281426545624182).

The spelling of 140022223404141 in words is "one hundred forty trillion, twenty-two billion, two hundred twenty-three million, four hundred four thousand, one hundred forty-one".

Divisors: 1 3 13 39 59 177 767 839 2301 2517 10907 32721 49501 148503 643513 1930539 72530119 217590357 942891547 2828674641 4279277021 12837831063 55630601273 60852769841 166891803819 182558309523 791086007933 2373258023799 3590313420619 10770940261857 46674074468047 140022223404141