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200042000442 = 232107503206489
BaseRepresentation
bin1011101001001101101…
…1101011000000111010
3201010100021022112021100
42322103123223000322
511234141223003232
6231521550152230
720311140643164
oct2722333530072
9633307275240
10200042000442
1177923548809
12329297b2676
1315b2cc363cb
1499798d5934
15530bebdc7c
hex2e936eb03a

200042000442 has 48 divisors (see below), whose sum is σ = 438346883520. Its totient is φ = 65925836736.

The previous prime is 200042000423. The next prime is 200042000453. The reversal of 200042000442 is 244000240002.

200042000442 is a `hidden beast` number, since 20 + 0 + 0 + 4 + 200 + 0 + 442 = 666.

It is a super-3 number, since 3×2000420004423 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 865534 + ... + 1072022.

It is an arithmetic number, because the mean of its divisors is an integer number (9132226740).

Almost surely, 2200042000442 is an apocalyptic number.

200042000442 is an abundant number, since it is smaller than the sum of its proper divisors (238304883078).

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

200042000442 is a wasteful number, since it uses less digits than its factorization.

200042000442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207107 (or 207104 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 200042000442 its reverse (244000240002), we get a palindrome (444042240444).

The spelling of 200042000442 in words is "two hundred billion, forty-two million, four hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 107 214 321 503 642 963 1006 1509 1926 3018 4527 9054 53821 107642 161463 206489 322926 412978 484389 619467 968778 1238934 1858401 3716802 22094323 44188646 66282969 103863967 132565938 198848907 207727934 311591901 397697814 623183802 934775703 1869551406 11113444469 22226888938 33340333407 66680666814 100021000221 200042000442