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243478140840 = 2333511229411567
BaseRepresentation
bin1110001011000001101…
…1011001011110101000
3212021110102002002021000
43202300123121132220
512442120401001330
6303504033315000
723406421023054
oct3426033313650
9767412062230
10243478140840
1194293076a00
123b230405a60
1319c62b5662c
14bada59ac64
15650049b560
hex38b06d97a8

243478140840 has 768 divisors, whose sum is σ = 945955584000. Its totient is φ = 55564185600.

The previous prime is 243478140833. The next prime is 243478140847. The reversal of 243478140840 is 48041874342.

243478140840 is a `hidden beast` number, since 2 + 434 + 78 + 140 + 8 + 4 + 0 = 666.

243478140840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (243478140833) and next prime (243478140847).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (243478140847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155377737 + ... + 155379303.

It is an arithmetic number, because the mean of its divisors is an integer number (1231713000).

Almost surely, 2243478140840 is an apocalyptic number.

243478140840 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 243478140840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472977792000).

243478140840 is an abundant number, since it is smaller than the sum of its proper divisors (702477443160).

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

243478140840 is a wasteful number, since it uses less digits than its factorization.

243478140840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 243478140840 in words is "two hundred forty-three billion, four hundred seventy-eight million, one hundred forty thousand, eight hundred forty".