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33434414002 = 211231013072131
BaseRepresentation
bin11111001000110110…
…001010101110110010
310012022002202012200201
4133020312022232302
51021433202222002
623205355305414
72262351554443
oct371066125662
9105262665621
1033434414002
11131a7945110
12659114b26a
1331caa7a032
1418926132ca
15d0a3cd087
hex7c8d8abb2

33434414002 has 64 divisors (see below), whose sum is σ = 57869779968. Its totient is φ = 14339160000.

The previous prime is 33434413993. The next prime is 33434414047. The reversal of 33434414002 is 20041443433.

It is a super-2 number, since 2×334344140022 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15688477 + ... + 15690607.

It is an arithmetic number, because the mean of its divisors is an integer number (904215312).

Almost surely, 233434414002 is an apocalyptic number.

33434414002 is a deficient number, since it is larger than the sum of its proper divisors (24435365966).

33434414002 is a wasteful number, since it uses less digits than its factorization.

33434414002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575.

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 33434414002 its reverse (20041443433), we get a palindrome (53475857435).

The spelling of 33434414002 in words is "thirty-three billion, four hundred thirty-four million, four hundred fourteen thousand, two".

Divisors: 1 2 11 22 23 46 101 202 253 307 506 614 1111 2131 2222 2323 3377 4262 4646 6754 7061 14122 23441 25553 31007 46882 49013 51106 62014 77671 98026 155342 215231 341077 430462 539143 654217 682154 713161 1078286 1308434 1426322 2367541 4735082 4950313 7196387 7844771 9900626 14392774 15046991 15689542 30093982 54453443 66075917 108906886 132151834 165516901 331033802 726835087 1453670174 1519746091 3039492182 16717207001 33434414002