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33345140220040 = 2351126889491781
BaseRepresentation
bin1111001010011110001010…
…01111001110000010001000
311101001202122011011211110211
413211033011033032002020
513332311321344020130
6154530313531250504
710011051442202005
oct745170517160210
9141052564154424
1033345140220040
11a69665a391500
1238a6617ba9a34
13157b582a6540c
14833cb05148ac
153cc5b4ab6a2a
hex1e53c53ce088

33345140220040 has 48 divisors (see below), whose sum is σ = 82467216630540. Its totient is φ = 12125505532800.

The previous prime is 33345140220031. The next prime is 33345140220043. The reversal of 33345140220040 is 4002204154333.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31918228742884 + 1426911477156 = 5649622^2 + 1194534^2 .

It is a super-2 number, since 2×333451402200402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33345140219984 and 33345140220011.

It is not an unprimeable number, because it can be changed into a prime (33345140220043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3444741051 + ... + 3444750730.

Almost surely, 233345140220040 is an apocalyptic number.

It is an amenable number.

33345140220040 is an abundant number, since it is smaller than the sum of its proper divisors (49122076410500).

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

33345140220040 is a wasteful number, since it uses less digits than its factorization.

33345140220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6889491814 (or 6889491799 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 33345140220040 its reverse (4002204154333), we get a palindrome (37347344374373).

The spelling of 33345140220040 in words is "thirty-three trillion, three hundred forty-five billion, one hundred forty million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 6889491781 13778983562 27557967124 34447458905 55115934248 68894917810 75784409591 137789835620 151568819182 275579671240 303137638364 378922047955 606275276728 757844095910 833628505501 1515688191820 1667257011002 3031376383640 3334514022004 4168142527505 6669028044008 8336285055010 16672570110020 33345140220040