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31142330406 = 23211437946301
BaseRepresentation
bin11101000000001110…
…100100000000100110
32222101100210022002200
4131000032210000212
51002234414033111
622150120115330
72151510304125
oct350016440046
988340708080
1031142330406
1112231040850
126051605b46
132c23c47255
141716045abc
15c24072256
hex7403a4026

31142330406 has 96 divisors (see below), whose sum is σ = 76276062720. Its totient is φ = 9100728000.

The previous prime is 31142330389. The next prime is 31142330407. The reversal of 31142330406 is 60403324113.

31142330406 is a `hidden beast` number, since 311 + 42 + 3 + 304 + 0 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 31142330406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31142330407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649456 + ... + 695756.

It is an arithmetic number, because the mean of its divisors is an integer number (794542320).

Almost surely, 231142330406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31142330406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38138031360).

31142330406 is an abundant number, since it is smaller than the sum of its proper divisors (45133732314).

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

31142330406 is a wasteful number, since it uses less digits than its factorization.

31142330406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46442 (or 46439 counting only the distinct ones).

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

Adding to 31142330406 its reverse (60403324113), we get a palindrome (91545654519).

The spelling of 31142330406 in words is "thirty-one billion, one hundred forty-two million, three hundred thirty thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 79 86 99 129 158 198 237 258 387 473 474 711 774 869 946 1419 1422 1738 2607 2838 3397 4257 5214 6794 7821 8514 10191 15642 20382 30573 37367 46301 61146 74734 92602 112101 138903 224202 277806 336303 416709 509311 672606 833418 1018622 1527933 1990943 3055866 3657779 3981886 4583799 5972829 7315558 9167598 10973337 11945658 17918487 21900373 21946674 32920011 35836974 40235569 43800746 65701119 65840022 80471138 120706707 131402238 157284497 197103357 241413414 314568994 362120121 394206714 471853491 724240242 943706982 1415560473 1730129467 2831120946 3460258934 5190388401 10380776802 15571165203 31142330406