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243428823000 = 233253119072711
BaseRepresentation
bin1110001010110101111…
…1010000111111011000
3212021022222021110220100
43202231133100333120
512442020234314000
6303455112255400
723405251566216
oct3425537207730
9767288243810
10243428823000
1194268251760
123b2179a1560
1319c5587988c
14bad3bddcb6
1564eaea8a00
hex38ad7d0fd8

243428823000 has 384 divisors, whose sum is σ = 898909539840. Its totient is φ = 58926240000.

The previous prime is 243428822999. The next prime is 243428823019. The reversal of 243428823000 is 328824342.

It is a happy number.

243428823000 is a `hidden beast` number, since 2 + 4 + 342 + 8 + 8 + 2 + 300 + 0 = 666.

It is a super-3 number, since 3×2434288230003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89791645 + ... + 89794355.

It is an arithmetic number, because the mean of its divisors is an integer number (2340910260).

Almost surely, 2243428823000 is an apocalyptic number.

243428823000 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 243428823000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449454769920).

243428823000 is an abundant number, since it is smaller than the sum of its proper divisors (655480716840).

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

243428823000 is a wasteful number, since it uses less digits than its factorization.

243428823000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 243428823000 in words is "two hundred forty-three billion, four hundred twenty-eight million, eight hundred twenty-three thousand".