Search a number
-
+
10312412440 = 2351130776343
BaseRepresentation
bin10011001101010101…
…01110110100011000
3222121200121211102111
421212222232310120
5132104434144230
64423142442104
7513360026251
oct114652566430
928550554374
1010312412440
1144120a7110
121bb9733334
13c84642bc5
146db847b28
1540551e92a
hex266aaed18

10312412440 has 64 divisors (see below), whose sum is σ = 25395068160. Its totient is φ = 3737704320.

The previous prime is 10312412437. The next prime is 10312412443. The reversal of 10312412440 is 4421421301.

It is a happy number.

10312412440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10312412437) and next prime (10312412443).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312412443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96909 + ... + 173251.

It is an arithmetic number, because the mean of its divisors is an integer number (396797940).

Almost surely, 210312412440 is an apocalyptic number.

10312412440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10312412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12697534080).

10312412440 is an abundant number, since it is smaller than the sum of its proper divisors (15082655720).

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

10312412440 is a wasteful number, since it uses less digits than its factorization.

10312412440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76672 (or 76668 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10312412440 its reverse (4421421301), we get a palindrome (14733833741).

The spelling of 10312412440 in words is "ten billion, three hundred twelve million, four hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 307 440 614 1228 1535 2456 3070 3377 6140 6754 12280 13508 16885 27016 33770 67540 76343 135080 152686 305372 381715 610744 763430 839773 1526860 1679546 3053720 3359092 4198865 6718184 8397730 16795460 23437301 33590920 46874602 93749204 117186505 187498408 234373010 257810311 468746020 515620622 937492040 1031241244 1289051555 2062482488 2578103110 5156206220 10312412440