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33040142031344 = 2471272818266351
BaseRepresentation
bin1111000001100110000011…
…11011011101100111110000
311022222121101022021111210212
413200303001323131213300
513312312202330000334
6154134233125443252
76650033343314540
oct740630173354760
9138877338244725
1033040142031344
11a589277905048
123857498870528
131558897590506
14823219663320
153c46b370cece
hex1e0cc1edd9f0

33040142031344 has 80 divisors (see below), whose sum is σ = 73998795964416. Its totient is φ = 13998567744000.

The previous prime is 33040142031263. The next prime is 33040142031359. The reversal of 33040142031344 is 44313024104033.

It is a self number, because there is not a number n which added to its sum of digits gives 33040142031344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136232 + ... + 8130119.

Almost surely, 233040142031344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33040142031344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36999397982208).

33040142031344 is an abundant number, since it is smaller than the sum of its proper divisors (40958653933072).

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

33040142031344 is a wasteful number, since it uses less digits than its factorization.

33040142031344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8266774 (or 8266768 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 33040142031344 its reverse (44313024104033), we get a palindrome (77353166135377).

The spelling of 33040142031344 in words is "thirty-three trillion, forty billion, one hundred forty-two million, thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 127 254 281 508 562 889 1016 1124 1778 1967 2032 2248 3556 3934 4496 7112 7868 14224 15736 31472 35687 71374 142748 249809 285496 499618 570992 999236 1998472 3996944 8266351 16532702 33065404 57864457 66130808 115728914 132261616 231457828 462915656 925831312 1049826577 2099653154 2322844631 4199306308 4645689262 7348786039 8398612616 9291378524 14697572078 16259912417 16797225232 18582757048 29395144156 32519824834 37165514096 58790288312 65039649668 117580576624 130079299336 260158598672 295001268137 590002536274 1180005072548 2065008876959 2360010145096 4130017753918 4720020290192 8260035507836 16520071015672 33040142031344