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114240524113135 = 5723319671456799
BaseRepresentation
bin11001111110011010110001…
…110110111101010011101111
3112222111021202112210102002201
4121332122301312331103233
5104433204043133110020
61042545212224202331
733030414453664300
oct3176326166752357
9488437675712081
10114240524113135
1133445152687a52
12109906b44693a7
134b98ab1c17014
14202d3b13a07a7
15d319d1656a0a
hex67e6b1dbd4ef

114240524113135 has 48 divisors (see below), whose sum is σ = 160117750425600. Its totient is φ = 78018875161920.

The previous prime is 114240524113129. The next prime is 114240524113153. The reversal of 114240524113135 is 531311425042411.

It is a happy number.

It is not a de Polignac number, because 114240524113135 - 27 = 114240524113007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114240524113094 and 114240524113103.

It is a congruent number.

It is an unprimeable number.

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, 77690466 + ... + 79147264.

It is an arithmetic number, because the mean of its divisors is an integer number (3335786467200).

Almost surely, 2114240524113135 is an apocalyptic number.

114240524113135 is a deficient number, since it is larger than the sum of its proper divisors (45877226312465).

114240524113135 is a wasteful number, since it uses less digits than its factorization.

114240524113135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458116 (or 1458109 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

Adding to 114240524113135 its reverse (531311425042411), we get a palindrome (645551949155546).

The spelling of 114240524113135 in words is "one hundred fourteen trillion, two hundred forty billion, five hundred twenty-four million, one hundred thirteen thousand, one hundred thirty-five".

Divisors: 1 5 7 35 49 245 331 967 1655 2317 4835 6769 11585 16219 33845 47383 81095 236915 320077 1456799 1600385 2240539 7283995 10197593 11202695 15683773 50987965 71383151 78418865 356915755 482200469 1408724633 2411002345 3375403283 7043623165 9861072431 16877016415 23627822981 49305362155 69027507017 118139114905 345137535085 466287853523 2331439267615 3264014974661 16320074873305 22848104822627 114240524113135