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33430043102144 = 2613109336761519
BaseRepresentation
bin1111001100111100010011…
…10110000000101111000000
311101100212210011221010022212
413212132021312000233000
513340204212013232034
6155033314430521252
710020145426611353
oct746361166005700
9141325704833285
1033430043102144
11a7196688a2467
1238bab71966228
1315865938840b0
148380464b029a
153ce8d37062ce
hex1e6789d80bc0

33430043102144 has 56 divisors (see below), whose sum is σ = 71506008920640. Its totient is φ = 15415133819904.

The previous prime is 33430043102143. The next prime is 33430043102167. The reversal of 33430043102144 is 44120134003433.

It is a super-2 number, since 2×334300431021442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 33430043102144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33430043102143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17471384 + ... + 19290135.

It is an arithmetic number, because the mean of its divisors is an integer number (1276893016440).

Almost surely, 233430043102144 is an apocalyptic number.

It is an amenable number.

33430043102144 is an abundant number, since it is smaller than the sum of its proper divisors (38075965818496).

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

33430043102144 is a wasteful number, since it uses less digits than its factorization.

33430043102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36762637 (or 36762627 counting only the distinct ones).

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

Adding to 33430043102144 its reverse (44120134003433), we get a palindrome (77550177105577).

The spelling of 33430043102144 in words is "thirty-three trillion, four hundred thirty billion, forty-three million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1093 2186 4372 8744 14209 17488 28418 34976 56836 69952 113672 227344 454688 909376 36761519 73523038 147046076 294092152 477899747 588184304 955799494 1176368608 1911598988 2352737216 3823197976 7646395952 15292791904 30585583808 40180340267 80360680534 160721361068 321442722136 522344423471 642885444272 1044688846942 1285770888544 2089377693884 2571541777088 4178755387768 8357510775536 16715021551072 33430043102144