Search a number
-
+
240123143040 = 273511193197199
BaseRepresentation
bin1101111110100001110…
…1000110001110000000
3211221210121001112111020
43133220131012032000
512413233011034130
6302151104145440
723230322016264
oct3375035061600
9757717045436
10240123143040
1192921288450
123a654908280
1319849a59131
14b89cb860a4
1563a5b82e10
hex37e8746380

240123143040 has 1024 divisors, whose sum is σ = 921231360000. Its totient is φ = 52553318400.

The previous prime is 240123143023. The next prime is 240123143041. The reversal of 240123143040 is 40341321042.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 240123143040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240123143041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1206648861 + ... + 1206649059.

It is an arithmetic number, because the mean of its divisors is an integer number (899640000).

Almost surely, 2240123143040 is an apocalyptic number.

240123143040 is a gapful number since it is divisible by the number (20) 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 240123143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460615680000).

240123143040 is an abundant number, since it is smaller than the sum of its proper divisors (681108216960).

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

240123143040 is a wasteful number, since it uses less digits than its factorization.

240123143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 240123143040 its reverse (40341321042), we get a palindrome (280464464082).

The spelling of 240123143040 in words is "two hundred forty billion, one hundred twenty-three million, one hundred forty-three thousand, forty".