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240375000000 = 26359641
BaseRepresentation
bin1101111111011101110…
…1110110101111000000
3211222110010222012021210
43133313131312233000
512414242000000000
6302232102250120
723236500534162
oct3376735665700
9758403865253
10240375000000
1192a4046a2a3
123a705126940
1319889c9bb15
14b8c43c6932
1563bcd32350
hex37f7776bc0

240375000000 has 280 divisors, whose sum is σ = 796230387216. Its totient is φ = 64000000000.

The previous prime is 240374999983. The next prime is 240375000059. The reversal of 240375000000 is 573042.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 374999680 + ... + 375000320.

Almost surely, 2240375000000 is an apocalyptic number.

240375000000 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 240375000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398115193608).

240375000000 is an abundant number, since it is smaller than the sum of its proper divisors (555855387216).

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

240375000000 is an frugal number, since it uses more digits than its factorization.

240375000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

Adding to 240375000000 its reverse (573042), we get a palindrome (240375573042).

It can be divided in two parts, 240 and 375000000, that multiplied together give a square (90000000000 = 3000002).

The spelling of 240375000000 in words is "two hundred forty billion, three hundred seventy-five million", and thus it is an aban number.