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10131414444 = 2233372535389
BaseRepresentation
bin10010110111110000…
…10001110110101100
3222011002001011212000
421123320101312230
5131222120230234
64353155212300
7506031413304
oct113370216654
928132034760
1010131414444
114329a12698
121b68ba7090
13c55cac9b8
146c17b0604
153e46ba899
hex25be11dac

10131414444 has 48 divisors (see below), whose sum is σ = 26976549600. Its totient is φ = 3285862848.

The previous prime is 10131414443. The next prime is 10131414457. The reversal of 10131414444 is 44441413101.

It is a super-4 number, since 4×101314144444 (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10131414443) 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, 1263699 + ... + 1271690.

It is an arithmetic number, because the mean of its divisors is an integer number (562011450).

Almost surely, 210131414444 is an apocalyptic number.

It is an amenable number.

10131414444 is an abundant number, since it is smaller than the sum of its proper divisors (16845135156).

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

10131414444 is a wasteful number, since it uses less digits than its factorization.

10131414444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535439 (or 2535431 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10131414444 its reverse (44441413101), we get a palindrome (54572827545).

The spelling of 10131414444 in words is "ten billion, one hundred thirty-one million, four hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3996 2535389 5070778 7606167 10141556 15212334 22818501 30424668 45637002 68455503 91274004 93809393 136911006 187618786 273822012 281428179 375237572 562856358 844284537 1125712716 1688569074 2532853611 3377138148 5065707222 10131414444