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33014240242020 = 22325248089739301
BaseRepresentation
bin1111000000110101110100…
…00011111110100101100100
311022220010112011111021121100
413200122322003332211210
513311401131000221040
6154114311012320100
76645125435613012
oct740327203764544
9138803464437540
1033014240242020
11a579295a34394
12385246a313030
1315562ca28505b
14821c7d6158b2
153c3b997a8b30
hex1e06ba0fe964

33014240242020 has 72 divisors (see below), whose sum is σ = 100143734516280. Its totient is φ = 8803750003200.

The previous prime is 33014240241959. The next prime is 33014240242021. The reversal of 33014240242020 is 2024204241033.

33014240242020 is a `hidden beast` number, since 3 + 30 + 1 + 424 + 0 + 2 + 4 + 202 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7938903571236 + 25075336670784 = 2817606^2 + 5007528^2 .

It is not an unprimeable number, because it can be changed into a prime (33014240242021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44286370 + ... + 45025670.

It is an arithmetic number, because the mean of its divisors is an integer number (1390885201615).

Almost surely, 233014240242020 is an apocalyptic number.

33014240242020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33014240242020 is an abundant number, since it is smaller than the sum of its proper divisors (67129494274260).

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

33014240242020 is a wasteful number, since it uses less digits than its factorization.

33014240242020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987405 (or 987400 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 33014240242020 its reverse (2024204241033), we get a palindrome (35038444483053).

The spelling of 33014240242020 in words is "thirty-three trillion, fourteen billion, two hundred forty million, two hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 248089 496178 739301 744267 992356 1240445 1478602 1488534 2217903 2232801 2480890 2957204 2977068 3696505 3721335 4435806 4465602 4961780 6653709 7393010 7442670 8871612 8931204 11089515 11164005 13307418 14786020 14885340 22179030 22328010 26614836 33268545 44358060 44656020 66537090 133074180 183412445789 366824891578 550237337367 733649783156 917062228945 1100474674734 1650712012101 1834124457890 2200949349468 2751186686835 3301424024202 3668248915780 5502373373670 6602848048404 8253560060505 11004746747340 16507120121010 33014240242020