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140214130400113 = 71129891019692371
BaseRepresentation
bin11111111000011000100101…
…011011110101101101110001
3200101110100011211100220222221
4133320120211123311231301
5121334232014340300423
61214113252100401041
741351064601456630
oct3770304533655561
9611410154326887
10140214130400113
114074952a266170
12138865306a6181
13603119c367373
14268a585d0b517
151132458250e5d
hex7f86256f5b71

140214130400113 has 64 divisors (see below), whose sum is σ = 183052078848000. Its totient is φ = 104202460454400.

The previous prime is 140214130400081. The next prime is 140214130400147. The reversal of 140214130400113 is 311004031412041.

It is not a de Polignac number, because 140214130400113 - 25 = 140214130400081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (140214130200113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202166818 + ... + 202859188.

It is an arithmetic number, because the mean of its divisors is an integer number (2860188732000).

Almost surely, 2140214130400113 is an apocalyptic number.

It is an amenable number.

140214130400113 is a deficient number, since it is larger than the sum of its proper divisors (42837948447887).

140214130400113 is a wasteful number, since it uses less digits than its factorization.

140214130400113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693526.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 140214130400113 its reverse (311004031412041), we get a palindrome (451218161812154).

The spelling of 140214130400113 in words is "one hundred forty trillion, two hundred fourteen billion, one hundred thirty million, four hundred thousand, one hundred thirteen".

Divisors: 1 7 11 29 77 89 203 319 623 979 1019 2233 2581 6853 7133 11209 18067 28391 29551 78463 90691 198737 206857 325061 634837 692371 997601 2275427 2630039 4846597 6983207 7616081 18410273 20078759 28930429 53312567 61621019 140551313 202513003 220866349 431347133 677831209 705526049 1546064443 1787009551 4744818463 4938682343 7760786539 12509066857 19657105061 20460255421 54325505773 62791818361 137599735427 143221787947 225062809631 439542728527 690710001971 1575439667417 1820962732469 4834970013797 12746739127283 20030590057159 140214130400113