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11401114134431 = 753277274940357
BaseRepresentation
bin1010010111101000011101…
…0110111010011110011111
31111100221021020122221102102
42211322013112322132133
52443243440204300211
640125333255315315
72254463144106560
oct245720726723637
944327236587372
1011401114134431
1136a620477aa6a
12134174207bb3b
13649174821728
142b5b616b6167
1514b880ccba3b
hexa5e875ba79f

11401114134431 has 32 divisors (see below), whose sum is σ = 13328794512000. Its totient is φ = 9549673376256.

The previous prime is 11401114134427. The next prime is 11401114134433. The reversal of 11401114134431 is 13443141110411.

It is a cyclic number.

It is not a de Polignac number, because 11401114134431 - 22 = 11401114134427 is a prime.

It is a super-2 number, since 2×114011141344312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11401114134394 and 11401114134403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11401114134433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282486305 + ... + 282526661.

It is an arithmetic number, because the mean of its divisors is an integer number (416524828500).

Almost surely, 211401114134431 is an apocalyptic number.

11401114134431 is a deficient number, since it is larger than the sum of its proper divisors (1927680377569).

11401114134431 is a wasteful number, since it uses less digits than its factorization.

11401114134431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43443.

The product of its (nonzero) digits is 2304, while the sum is 29.

Adding to 11401114134431 its reverse (13443141110411), we get a palindrome (24844255244842).

The spelling of 11401114134431 in words is "eleven trillion, four hundred one billion, one hundred fourteen million, one hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 7 53 277 371 1939 2749 14681 19243 40357 102767 145697 282499 761473 1019879 2138921 5330311 11178889 14972447 40358069 78252223 110941393 282506483 592481117 776589751 4147367819 5879893829 30730765861 41159256803 215115361027 1628730590633 11401114134431