Search a number
-
+
12143321412040 = 23572133738831447
BaseRepresentation
bin1011000010110101011001…
…0110111111000111001000
31120222220000221121012022101
42300231112112333013020
53042424010240141130
641454322001203144
72362216552633600
oct260552626770710
946886027535271
1012143321412040
113961a543a7a75
1214415599304b4
136a115841cc40
142dda5039bc00
15160d205241ca
hexb0b565bf1c8

12143321412040 has 384 divisors, whose sum is σ = 34382529941760. Its totient is φ = 3825871128576.

The previous prime is 12143321411993. The next prime is 12143321412041. The reversal of 12143321412040 is 4021412334121.

It is a happy number.

It is a super-2 number, since 2×121433214120402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (12143321412041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8392066597 + ... + 8392068043.

It is an arithmetic number, because the mean of its divisors is an integer number (89537838390).

Almost surely, 212143321412040 is an apocalyptic number.

12143321412040 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 12143321412040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17191264970880).

12143321412040 is an abundant number, since it is smaller than the sum of its proper divisors (22239208529720).

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

12143321412040 is a wasteful number, since it uses less digits than its factorization.

12143321412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 12143321412040 its reverse (4021412334121), we get a palindrome (16164733746161).

The spelling of 12143321412040 in words is "twelve trillion, one hundred forty-three billion, three hundred twenty-one million, four hundred twelve thousand, forty".