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33040143230120 = 23513345718379733
BaseRepresentation
bin1111000001100110000100…
…00000000010010010101000
311022222121101101112102012222
413200303002000002102220
513312312203131330440
6154134233211253212
76650033356436525
oct740630200022250
9138877341472188
1033040143230120
11a589278553774
12385749914a208
1315588978c0050
1482321989614c
153c46b38982b5
hex1e0cc20024a8

33040143230120 has 64 divisors (see below), whose sum is σ = 80081971416720. Its totient is φ = 12195907928064.

The previous prime is 33040143230089. The next prime is 33040143230123. The reversal of 33040143230120 is 2103234104033.

It can be written as a sum of positive squares in 8 ways, for example, as 41713160644 + 32998430069476 = 204238^2 + 5744426^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 33040143230120.

It is not an unprimeable number, because it can be changed into a prime (33040143230123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7392227 + ... + 10987506.

Almost surely, 233040143230120 is an apocalyptic number.

It is an amenable number.

33040143230120 is an abundant number, since it is smaller than the sum of its proper divisors (47041828186600).

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

33040143230120 is a wasteful number, since it uses less digits than its factorization.

33040143230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18383214 (or 18383210 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 33040143230120 its reverse (2103234104033), we get a palindrome (35143377334153).

The spelling of 33040143230120 in words is "thirty-three trillion, forty billion, one hundred forty-three million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 3457 6914 13828 17285 27656 34570 44941 69140 89882 138280 179764 224705 359528 449410 898820 1797640 18379733 36759466 73518932 91898665 147037864 183797330 238936529 367594660 477873058 735189320 955746116 1194682645 1911492232 2389365290 4778730580 9557461160 63538736981 127077473962 254154947924 317693684905 508309895848 635387369810 826003580753 1270774739620 1652007161506 2541549479240 3304014323012 4130017903765 6608028646024 8260035807530 16520071615060 33040143230120