Search a number
-
+
4334214555144 = 233260197424377
BaseRepresentation
bin111111000100100011010…
…100011010011000001000
3120100100100212100012211100
4333010203110122120020
51032002432411231034
613115035523501400
7625064606566215
oct77044324323010
916310325305740
104334214555144
11142114813a621
1259bbbb827860
1325593a1c3136
1410dac4530b0c
1577b2229a099
hex3f12351a608

4334214555144 has 24 divisors (see below), whose sum is σ = 11738497753710. Its totient is φ = 1444738185024.

The previous prime is 4334214555131. The next prime is 4334214555149. The reversal of 4334214555144 is 4415554124334.

4334214555144 is a `hidden beast` number, since 4 + 3 + 3 + 42 + 14 + 5 + 551 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4148806807044 + 185407748100 = 2036862^2 + 430590^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4334214555144.

It is not an unprimeable number, because it can be changed into a prime (4334214555149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30098712117 + ... + 30098712260.

Almost surely, 24334214555144 is an apocalyptic number.

It is an amenable number.

4334214555144 is an abundant number, since it is smaller than the sum of its proper divisors (7404283198566).

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

4334214555144 is a wasteful number, since it uses less digits than its factorization.

4334214555144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60197424389 (or 60197424382 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 45.

Adding to 4334214555144 its reverse (4415554124334), we get a palindrome (8749768679478).

The spelling of 4334214555144 in words is "four trillion, three hundred thirty-four billion, two hundred fourteen million, five hundred fifty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 60197424377 120394848754 180592273131 240789697508 361184546262 481579395016 541776819393 722369092524 1083553638786 1444738185048 2167107277572 4334214555144