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4113134030232 = 23347386951083
BaseRepresentation
bin111011110110101001111…
…001001000110110011000
3112120012201101022220120000
4323312221321020312120
51014342144302431412
612425314144533000
7603110203254003
oct73665171106630
915505641286500
104113134030232
111346408a27007
125651a0321160
1323ab366a6ba6
1410311085853a
1571ed32be4dc
hex3bda9e48d98

4113134030232 has 80 divisors (see below), whose sum is σ = 11678400092040. Its totient is φ = 1352263227264.

The previous prime is 4113134030191. The next prime is 4113134030297. The reversal of 4113134030232 is 2320304313114.

It is a happy number.

4113134030232 is a `hidden beast` number, since 4 + 1 + 1 + 313 + 40 + 302 + 3 + 2 = 666.

It is a super-3 number, since 3×41131340302323 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4113134030196 and 4113134030205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43428238 + ... + 43522845.

Almost surely, 24113134030232 is an apocalyptic number.

It is an amenable number.

4113134030232 is an abundant number, since it is smaller than the sum of its proper divisors (7565266061808).

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

4113134030232 is a wasteful number, since it uses less digits than its factorization.

4113134030232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86951174 (or 86951161 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 4113134030232 its reverse (2320304313114), we get a palindrome (6433438343346).

The spelling of 4113134030232 in words is "four trillion, one hundred thirteen billion, one hundred thirty-four million, thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 81 108 146 162 216 219 292 324 438 584 648 657 876 1314 1752 1971 2628 3942 5256 5913 7884 11826 15768 23652 47304 86951083 173902166 260853249 347804332 521706498 695608664 782559747 1043412996 1565119494 2086825992 2347679241 3130238988 4695358482 6260477976 6347429059 7043037723 9390716964 12694858118 14086075446 18781433928 19042287177 25389716236 28172150892 38084574354 50779432472 56344301784 57126861531 76169148708 114253723062 152338297416 171380584593 228507446124 342761169186 457014892248 514141753779 685522338372 1028283507558 1371044676744 2056567015116 4113134030232