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4231223002314 = 23271128371076077
BaseRepresentation
bin111101100100101000100…
…010110100010011001010
3112222111112012120020120200
4331210220202310103022
51023311021042033224
612555444053233030
7614460436046310
oct75445042642312
915874465506520
104231223002314
1113914a7093610
12584058032776
13249005998cb9
14108b140660b0
15750e55d95c9
hex3d9288b44ca

4231223002314 has 96 divisors (see below), whose sum is σ = 11433836658816. Its totient is φ = 1098630552960.

The previous prime is 4231223002297. The next prime is 4231223002333. The reversal of 4231223002314 is 4132003221324.

4231223002314 is a `hidden beast` number, since 4 + 2 + 3 + 122 + 300 + 231 + 4 = 666.

It is a super-2 number, since 2×42312230023142 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3394044 + ... + 4470120.

It is an arithmetic number, because the mean of its divisors is an integer number (119102465196).

Almost surely, 24231223002314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4231223002314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5716918329408).

4231223002314 is an abundant number, since it is smaller than the sum of its proper divisors (7202613656502).

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

4231223002314 is a wasteful number, since it uses less digits than its factorization.

4231223002314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078940 (or 1078937 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4231223002314 its reverse (4132003221324), we get a palindrome (8363226223638).

The spelling of 4231223002314 in words is "four trillion, two hundred thirty-one billion, two hundred twenty-three million, two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 2837 5674 8511 17022 19859 25533 31207 39718 51066 59577 62414 93621 119154 178731 187242 218449 280863 357462 436898 561726 655347 1076077 1310694 1966041 2152154 3228231 3932082 6456462 7532539 9684693 11836847 15065078 19369386 22597617 23673694 35510541 45195234 67792851 71021082 82857929 106531623 135585702 165715858 213063246 248573787 497147574 745721361 1491442722 3052830449 6105660898 9158491347 18316982694 21369813143 27475474041 33581134939 42739626286 54950948082 64109439429 67162269878 100743404817 128218878858 192328318287 201486809634 235067944573 302230214451 384656636574 470135889146 604460428902 705203833719 1410407667438 2115611501157 4231223002314