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4123334001132 = 223346781753787
BaseRepresentation
bin111100000000001001110…
…110111100000111101100
3112121012001020101010012000
4330000021312330013230
51020024042001014012
612434122233412300
7603621026502333
oct74001166740754
915535036333160
104123334001132
11134a772604125
1256716826a090
1323baa093b328
141037db392d1a
15723cd9ccddc
hex3c009dbc1ec

4123334001132 has 48 divisors (see below), whose sum is σ = 10713016379520. Its totient is φ = 1371501513936.

The previous prime is 4123334001131. The next prime is 4123334001217. The reversal of 4123334001132 is 2311004333214.

It is a happy number.

4123334001132 is a `hidden beast` number, since 4 + 123 + 3 + 3 + 400 + 1 + 132 = 666.

It is a super-3 number, since 3×41233340011323 (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 = 4123334001096 and 4123334001105.

It is not an unprimeable number, because it can be changed into a prime (4123334001131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40826458 + ... + 40927329.

It is an arithmetic number, because the mean of its divisors is an integer number (223187841240).

Almost surely, 24123334001132 is an apocalyptic number.

It is an amenable number.

4123334001132 is an abundant number, since it is smaller than the sum of its proper divisors (6589682378388).

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

4123334001132 is a wasteful number, since it uses less digits than its factorization.

4123334001132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81754267 (or 81754259 counting only the distinct ones).

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

Adding to 4123334001132 its reverse (2311004333214), we get a palindrome (6434338334346).

The spelling of 4123334001132 in words is "four trillion, one hundred twenty-three billion, three hundred thirty-four million, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 467 934 1401 1868 2802 4203 5604 8406 12609 16812 25218 50436 81753787 163507574 245261361 327015148 490522722 735784083 981045444 1471568166 2207352249 2943136332 4414704498 8829408996 38179018529 76358037058 114537055587 152716074116 229074111174 343611166761 458148222348 687222333522 1030833500283 1374444667044 2061667000566 4123334001132