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33000142434 = 23729149181837
BaseRepresentation
bin11110101110111101…
…100011011001100010
310011011211120221002120
4132232331203121202
51020041014024214
623054323325110
72245526403540
oct365675433142
9104154527076
1033000142434
1112aa47a1496
12648b820796
13315bac93cc
141850a8ad90
15cd21e9ea9
hex7aef63662

33000142434 has 64 divisors (see below), whose sum is σ = 78554016000. Its totient is φ = 9042340608.

The previous prime is 33000142429. The next prime is 33000142459. The reversal of 33000142434 is 43424100033.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90564 + ... + 272400.

It is an arithmetic number, because the mean of its divisors is an integer number (1227406500).

Almost surely, 233000142434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33000142434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39277008000).

33000142434 is an abundant number, since it is smaller than the sum of its proper divisors (45553873566).

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

33000142434 is a wasteful number, since it uses less digits than its factorization.

33000142434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182027.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 33000142434 its reverse (43424100033), we get a palindrome (76424242467).

The spelling of 33000142434 in words is "thirty-three billion, one hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 149 174 203 298 406 447 609 894 1043 1218 2086 3129 4321 6258 8642 12963 25926 30247 60494 90741 181482 181837 363674 545511 1091022 1272859 2545718 3818577 5273273 7637154 10546546 15819819 27093713 31639638 36912911 54187426 73825822 81281139 110738733 162562278 189655991 221477466 379311982 568967973 785717677 1137935946 1571435354 2357153031 4714306062 5500023739 11000047478 16500071217 33000142434