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41221343101032 = 233217179811872953
BaseRepresentation
bin10010101111101100101111…
…00000110100000001101000
312101221201111021102222210100
421113312113200310001220
520400332302313213112
6223400453521345400
711453100211106103
oct1127662740640150
9171851437388710
1041221343101032
11121529675a6936
124758b80498260
131a002048a6223
14a271a342973a
154b73dd5292dc
hex257d97834068

41221343101032 has 96 divisors (see below), whose sum is σ = 118214900486280. Its totient is φ = 12931459952640.

The previous prime is 41221343101007. The next prime is 41221343101177. The reversal of 41221343101032 is 23010134312214.

41221343101032 is a `hidden beast` number, since 4 + 1 + 2 + 213 + 431 + 0 + 10 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38474653406436 + 2746689694596 = 6202794^2 + 1657314^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41221343100987 and 41221343101005.

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, 21072268 + ... + 22945220.

Almost surely, 241221343101032 is an apocalyptic number.

It is an amenable number.

41221343101032 is an abundant number, since it is smaller than the sum of its proper divisors (76993557385248).

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

41221343101032 is a wasteful number, since it uses less digits than its factorization.

41221343101032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890963 (or 1890956 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 41221343101032 its reverse (23010134312214), we get a palindrome (64231477413246).

The spelling of 41221343101032 in words is "forty-one trillion, two hundred twenty-one billion, three hundred forty-three million, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 17981 35962 53943 71924 107886 143848 161829 215772 305677 323658 431544 611354 647316 917031 1222708 1294632 1834062 1872953 2445416 2751093 3668124 3745906 5502186 5618859 7336248 7491812 11004372 11237718 14983624 16856577 22008744 22475436 31840201 33713154 44950872 63680402 67426308 95520603 127360804 134852616 191041206 254721608 286561809 382082412 573123618 764164824 1146247236 2292494472 33677567893 67355135786 101032703679 134710271572 202065407358 269420543144 303098111037 404130814716 572518654181 606196222074 808261629432 1145037308362 1212392444148 1717555962543 2290074616724 2424784888296 3435111925086 4580149233448 5152667887629 6870223850172 10305335775258 13740447700344 20610671550516 41221343101032