Search a number
-
+
12243040032 = 253196712193
BaseRepresentation
bin10110110011011110…
…11111011100100000
31011121020102212121010
423121233133130200
5200033204240112
65342510500520
7612252060156
oct133157373440
934536385533
1012243040032
115212971203
122458204740
13120160b2b2
148420053d6
154b9c7c63c
hex2d9bdf720

12243040032 has 48 divisors (see below), whose sum is σ = 33829457760. Its totient is φ = 3866222592.

The previous prime is 12243040009. The next prime is 12243040037. The reversal of 12243040032 is 23004034221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×122430400322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12243039990 and 12243040008.

It is not an unprimeable number, because it can be changed into a prime (12243040037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3354273 + ... + 3357920.

It is an arithmetic number, because the mean of its divisors is an integer number (704780370).

Almost surely, 212243040032 is an apocalyptic number.

12243040032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12243040032 is an abundant number, since it is smaller than the sum of its proper divisors (21586417728).

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

12243040032 is a wasteful number, since it uses less digits than its factorization.

12243040032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6712225 (or 6712217 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 12243040032 its reverse (23004034221), we get a palindrome (35247074253).

The spelling of 12243040032 in words is "twelve billion, two hundred forty-three million, forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 6712193 13424386 20136579 26848772 40273158 53697544 80546316 107395088 127531667 161092632 214790176 255063334 322185264 382595001 510126668 644370528 765190002 1020253336 1530380004 2040506672 3060760008 4081013344 6121520016 12243040032