Search a number
-
+
1143443712240 = 24355318921319
BaseRepresentation
bin10000101000111010100…
…011100110100011110000
311001022102120002000100000
4100220322203212203300
5122213233042242430
62233142451030000
7145416413121504
oct20507243464360
94038376060300
101143443712240
11400a28191005
12165734b9b300
1383a98449a8b
143d4b3180304
151eb24976e60
hex10a3a8e68f0

1143443712240 has 480 divisors, whose sum is σ = 4157133926400. Its totient is φ = 291753031680.

The previous prime is 1143443712233. The next prime is 1143443712293. The reversal of 1143443712240 is 422173443411.

1143443712240 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 44 + 371 + 2 + 240 = 666.

It is a super-2 number, since 2×11434437122402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1143443712195 and 1143443712204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53624301 + ... + 53645619.

It is an arithmetic number, because the mean of its divisors is an integer number (8660695680).

Almost surely, 21143443712240 is an apocalyptic number.

1143443712240 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 1143443712240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078566963200).

1143443712240 is an abundant number, since it is smaller than the sum of its proper divisors (3013690214160).

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

1143443712240 is a wasteful number, since it uses less digits than its factorization.

1143443712240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21467 (or 21449 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 1143443712240 in words is "one trillion, one hundred forty-three billion, four hundred forty-three million, seven hundred twelve thousand, two hundred forty".