Search a number
-
+
14035234535352 = 2332425774578383
BaseRepresentation
bin1100110000111101010100…
…1010110011011110111000
31211200202101121220210201100
43030033111022303132320
53314423130020112402
645503410413251400
72646004124066322
oct314172512633670
954622347823640
1014035234535352
114521344aa7598
1216a8157793b60
137aa694934334
14367447b8a612
1519514e35a71c
hexcc3d52b37b8

14035234535352 has 48 divisors (see below), whose sum is σ = 38012994620640. Its totient is φ = 4678300608768.

The previous prime is 14035234535303. The next prime is 14035234535369. The reversal of 14035234535352 is 25353543253041.

14035234535352 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 52 + 34 + 535 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14035234535298 and 14035234535307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 776353 + ... + 5354735.

It is an arithmetic number, because the mean of its divisors is an integer number (791937387930).

Almost surely, 214035234535352 is an apocalyptic number.

14035234535352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14035234535352 is an abundant number, since it is smaller than the sum of its proper divisors (23977760085288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14035234535352 is a wasteful number, since it uses less digits than its factorization.

14035234535352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4620972 (or 4620965 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 45.

Adding to 14035234535352 its reverse (25353543253041), we get a palindrome (39388777788393).

The spelling of 14035234535352 in words is "fourteen trillion, thirty-five billion, two hundred thirty-four million, five hundred thirty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 42577 85154 127731 170308 255462 340616 383193 510924 766386 1021848 1532772 3065544 4578383 9156766 13735149 18313532 27470298 36627064 41205447 54940596 82410894 109881192 164821788 329643576 194933812991 389867625982 584801438973 779735251964 1169602877946 1559470503928 1754404316919 2339205755892 3508808633838 4678411511784 7017617267676 14035234535352