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33244414130 = 2523438340499
BaseRepresentation
bin11110111101100001…
…011000000010110010
310011210212020012212102
4132331201120002302
51021041032223010
623134451100402
72254553600114
oct367541300262
9104725205772
1033244414130
111310a672424
1265395a1702
13319a5b4685
1418752b53b4
15ce889bba5
hex7bd8580b2

33244414130 has 64 divisors (see below), whose sum is σ = 64665216000. Its totient is φ = 12273809856.

The previous prime is 33244414121. The next prime is 33244414139. The reversal of 33244414130 is 3141444233.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33244414121) and next prime (33244414139).

It is a super-2 number, since 2×332444141302 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33244414093 and 33244414102.

It is not an unprimeable number, because it can be changed into a prime (33244414139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 800621 + ... + 841119.

It is an arithmetic number, because the mean of its divisors is an integer number (1010394000).

Almost surely, 233244414130 is an apocalyptic number.

33244414130 is a deficient number, since it is larger than the sum of its proper divisors (31420801870).

33244414130 is a wasteful number, since it uses less digits than its factorization.

33244414130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40655.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 33244414130 its reverse (3141444233), we get a palindrome (36385858363).

The spelling of 33244414130 in words is "thirty-three billion, two hundred forty-four million, four hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 5 10 23 43 46 83 86 115 166 215 230 415 430 830 989 1909 1978 3569 3818 4945 7138 9545 9890 17845 19090 35690 40499 80998 82087 164174 202495 404990 410435 820870 931477 1741457 1862954 3361417 3482914 4657385 6722834 8707285 9314770 16807085 17414570 33614170 40053511 77312591 80107022 144540931 154625182 200267555 289081862 386562955 400535110 722704655 773125910 1445409310 3324441413 6648882826 16622207065 33244414130