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140513540335407 = 321723281142099513
BaseRepresentation
bin11111111100101111011011…
…101010000110011100101111
3200102111222000012222120010200
4133330233123222012130233
5121404133212311213112
61214503010154404543
741411524343103111
oct3774573352063457
9612458005876120
10140513540335407
1140854504380088
1213914570430753
1360534a6b68655
14269ac6a9313b1
15113a12dc05cdc
hex7fcbdba8672f

140513540335407 has 48 divisors (see below), whose sum is σ = 225044705515968. Its totient is φ = 84031967416320.

The previous prime is 140513540335391. The next prime is 140513540335417. The reversal of 140513540335407 is 704533045315041.

140513540335407 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 1 + 35 + 40 + 33 + 540 + 7 = 666.

It is not a de Polignac number, because 140513540335407 - 24 = 140513540335391 is a prime.

It is a super-3 number, since 3×1405135403354073 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140513540335417) 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 47 ways as a sum of consecutive naturals, for example, 70060918 + ... + 72038595.

It is an arithmetic number, because the mean of its divisors is an integer number (4688431364916).

Almost surely, 2140513540335407 is an apocalyptic number.

140513540335407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

140513540335407 is a deficient number, since it is larger than the sum of its proper divisors (84531165180561).

140513540335407 is a wasteful number, since it uses less digits than its factorization.

140513540335407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142099840 (or 142099837 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 140513540335407 in words is "one hundred forty trillion, five hundred thirteen billion, five hundred forty million, three hundred thirty-five thousand, four hundred seven".

Divisors: 1 3 9 17 23 51 69 153 207 281 391 843 1173 2529 3519 4777 6463 14331 19389 42993 58167 109871 329613 988839 142099513 426298539 1278895617 2415691721 3268288799 7247075163 9804866397 21741225489 29414599191 39929963153 55560909583 119789889459 166682728749 359369668377 500048186247 678809373601 918389152519 2036428120803 2755167457557 6109284362409 8265502372671 15612615592823 46837846778469 140513540335407