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140103325435311 = 32710329397346341
BaseRepresentation
bin11111110110110001011000…
…111100011100010110101111
3200101001202011122021111111200
4133312301120330130112233
5121330423102302412221
61213550325033420543
741340063004014210
oct3766613074342657
9611052148244450
10140103325435311
11407065397a4097
1213868b6826a753
1360238c1169834
142685073c69407
15112e620650426
hex7f6c58f1c5af

140103325435311 has 48 divisors (see below), whose sum is σ = 233606623111680. Its totient is φ = 79254784290240.

The previous prime is 140103325435309. The next prime is 140103325435313. The reversal of 140103325435311 is 113534523301041.

140103325435311 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 0 + 332 + 5 + 4 + 3 + 5 + 311 = 666.

It is an interprime number because it is at equal distance from previous prime (140103325435309) and next prime (140103325435313).

It is not a de Polignac number, because 140103325435311 - 21 = 140103325435309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140103325435313) 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 47 ways as a sum of consecutive naturals, for example, 15398001 + ... + 22744341.

It is an arithmetic number, because the mean of its divisors is an integer number (4866804648160).

Almost surely, 2140103325435311 is an apocalyptic number.

140103325435311 is a deficient number, since it is larger than the sum of its proper divisors (93503297676369).

140103325435311 is a wasteful number, since it uses less digits than its factorization.

140103325435311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7349396 (or 7349393 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 140103325435311 its reverse (113534523301041), we get a palindrome (253637848736352).

The spelling of 140103325435311 in words is "one hundred forty trillion, one hundred three billion, three hundred twenty-five million, four hundred thirty-five thousand, three hundred eleven".

Divisors: 1 3 7 9 21 63 103 309 721 927 2163 2939 6489 8817 20573 26451 61719 185157 302717 908151 2119019 2724453 6357057 7346341 19071171 22039023 51424387 66117069 154273161 462819483 756673123 2270019369 5296711861 6810058107 15890135583 21590896199 47670406749 64772688597 151136273393 194318065791 453408820179 1360226460537 2223862308497 6671586925491 15567036159479 20014760776473 46701108478437 140103325435311