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33042200142 = 2377916196151
BaseRepresentation
bin11110110001011101…
…111111011001001110
310011021202201200102110
4132301131333121032
51020132300401032
623102425004450
72246550032010
oct366135773116
9104252650373
1033042200142
1113016508026
1264a1923726
133167733723
1418564b81b0
15cd5c567cc
hex7b177f64e

33042200142 has 64 divisors (see below), whose sum is σ = 76540723200. Its totient is φ = 9313855200.

The previous prime is 33042200069. The next prime is 33042200179. The reversal of 33042200142 is 24100224033.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5368767 + ... + 5374917.

It is an arithmetic number, because the mean of its divisors is an integer number (1195948800).

Almost surely, 233042200142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33042200142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38270361600).

33042200142 is an abundant number, since it is smaller than the sum of its proper divisors (43498523058).

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

33042200142 is a wasteful number, since it uses less digits than its factorization.

33042200142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7861.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 33042200142 its reverse (24100224033), we get a palindrome (57142424175).

The spelling of 33042200142 in words is "thirty-three billion, forty-two million, two hundred thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 79 158 237 474 553 1106 1619 1659 3238 3318 4857 6151 9714 11333 12302 18453 22666 33999 36906 43057 67998 86114 127901 129171 255802 258342 383703 485929 767406 895307 971858 1457787 1790614 2685921 2915574 3401503 5371842 6803006 9958469 10204509 19916938 20409018 29875407 59750814 69709283 139418566 209127849 418255698 786719051 1573438102 2360157153 4720314306 5507033357 11014066714 16521100071 33042200142