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240241200000 = 27355200201
BaseRepresentation
bin1101111110111101111…
…1011100101110000000
3211222002211012110012020
43133233133130232000
512414003221400000
6302210522401440
723233254335544
oct3375737345600
9758084173166
10240241200000
119298199238a
123a688360280
1319868352819
14b8b0717a24
1563b1202ba0
hex37ef7dcb80

240241200000 has 192 divisors, whose sum is σ = 797628792240. Its totient is φ = 64064000000.

The previous prime is 240241199959. The next prime is 240241200013. The reversal of 240241200000 is 2142042.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1099900 + ... + 1300100.

Almost surely, 2240241200000 is an apocalyptic number.

240241200000 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 240241200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398814396120).

240241200000 is an abundant number, since it is smaller than the sum of its proper divisors (557387592240).

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

240241200000 is an frugal number, since it uses more digits than its factorization.

240241200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200243 (or 200211 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 240241200000 its reverse (2142042), we get a palindrome (240243342042).

The spelling of 240241200000 in words is "two hundred forty billion, two hundred forty-one million, two hundred thousand".