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240006678912 = 273372112131753
BaseRepresentation
bin1101111110000110000…
…0110100100110000000
3211221111110220112202000
43133201200310212000
512413013202211122
6302131344024000
723224406052600
oct3374140644600
9757443815660
10240006678912
1192871571200
123a621902000
131982b89c750
14b88b50ac00
15639a82a0ac
hex37e1834980

240006678912 has 2304 divisors, whose sum is σ = 1052254929600. Its totient is φ = 53137244160.

The previous prime is 240006678881. The next prime is 240006678913. The reversal of 240006678912 is 219876600042.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240006678913) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4528427878 + ... + 4528427930.

Almost surely, 2240006678912 is an apocalyptic number.

240006678912 is a gapful number since it is divisible by the number (22) 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 240006678912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526127464800).

240006678912 is an abundant number, since it is smaller than the sum of its proper divisors (812248250688).

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

240006678912 is a wasteful number, since it uses less digits than its factorization.

240006678912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 240006678912 in words is "two hundred forty billion, six million, six hundred seventy-eight thousand, nine hundred twelve".