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140224200402231 = 32112777510048997
BaseRepresentation
bin11111111000100001111101…
…101001110110010100110111
3200101111022011121212000222100
4133320201331221312110313
5121334413130300332411
61214122035223433143
741351602256204451
oct3770417551662467
9611438147760870
10140224200402231
1140752827542870
1213888480bb57b3
1360321156c42ba
14268ac5d4932d1
15113284733a456
hex7f887da76537

140224200402231 has 24 divisors (see below), whose sum is σ = 221038914165264. Its totient is φ = 84953760773760.

The previous prime is 140224200402193. The next prime is 140224200402263. The reversal of 140224200402231 is 132204002422041.

It is a happy number.

140224200402231 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 2 + 4 + 20 + 0 + 402 + 231 = 666.

It is not a de Polignac number, because 140224200402231 - 214 = 140224200385847 is a prime.

It is a super-2 number, since 2×1402242004022312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140224200402195 and 140224200402204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140224200402131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254749576 + ... + 255299421.

It is an arithmetic number, because the mean of its divisors is an integer number (9209954756886).

Almost surely, 2140224200402231 is an apocalyptic number.

140224200402231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

140224200402231 is a deficient number, since it is larger than the sum of its proper divisors (80814713763033).

140224200402231 is a wasteful number, since it uses less digits than its factorization.

140224200402231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510051791 (or 510051788 counting only the distinct ones).

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

Adding to 140224200402231 its reverse (132204002422041), we get a palindrome (272428202824272).

The spelling of 140224200402231 in words is "one hundred forty trillion, two hundred twenty-four billion, two hundred million, four hundred two thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 99 2777 8331 24993 30547 91641 274923 510048997 1530146991 4590440973 5610538967 16831616901 50494850703 1416406064669 4249218194007 12747654582021 15580466711359 46741400134077 140224200402231