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33142132001034 = 2327436117041713
BaseRepresentation
bin1111000100100100000010…
…00000010100100100001010
311100100100122011101210021200
413202102001000110210022
513321000041243013114
6154253141340445030
76660303632621130
oct742220100244412
9140310564353250
1033142132001034
11a6185545568a1
123873200b49776
13156539c4449c4
14828132acb750
153c71824c8409
hex1e248101490a

33142132001034 has 48 divisors (see below), whose sum is σ = 83974748649792. Its totient is φ = 9248967068544.

The previous prime is 33142132000949. The next prime is 33142132001051. The reversal of 33142132001034 is 43010023124133.

It is a happy number.

33142132001034 is a `hidden beast` number, since 3 + 3 + 1 + 421 + 3 + 200 + 1 + 0 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 33142132000989 and 33142132001007.

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, 3058515439 + ... + 3058526274.

It is an arithmetic number, because the mean of its divisors is an integer number (1749473930204).

Almost surely, 233142132001034 is an apocalyptic number.

33142132001034 is an abundant number, since it is smaller than the sum of its proper divisors (50832616648758).

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

33142132001034 is a wasteful number, since it uses less digits than its factorization.

33142132001034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6117041771 (or 6117041768 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 33142132001034 its reverse (43010023124133), we get a palindrome (76152155125167).

The spelling of 33142132001034 in words is "thirty-three trillion, one hundred forty-two billion, one hundred thirty-two million, one thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1806 2709 5418 6117041713 12234083426 18351125139 36702250278 42819291991 55053375417 85638583982 110106750834 128457875973 256915751946 263032793659 385373627919 526065587318 770747255838 789098380977 1578196761954 1841229555613 2367295142931 3682459111226 4734590285862 5523688666839 11047377333678 16571066000517 33142132001034