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45104313034431 = 32716719955738677
BaseRepresentation
bin10100100000101101010101…
…00011100110011010111111
312220200221010010102022221100
422100112222203212122333
521402442113114100211
6235532345123104143
712333451632005610
oct1220265243463277
9186627103368840
1045104313034431
111340a6a49282a2
125085627212053
131c2241a8a2731
14b1d0bba3dc07
15533400134156
hex2905aa8e66bf

45104313034431 has 96 divisors (see below), whose sum is σ = 75417272985600. Its totient is φ = 25444394604288.

The previous prime is 45104313034423. The next prime is 45104313034471. The reversal of 45104313034431 is 13443031340154.

45104313034431 is a `hidden beast` number, since 4 + 51 + 0 + 43 + 130 + 3 + 4 + 431 = 666.

It is not a de Polignac number, because 45104313034431 - 23 = 45104313034423 is a prime.

It is a super-2 number, since 2×451043130344312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45104313034411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1166159865 + ... + 1166198541.

It is an arithmetic number, because the mean of its divisors is an integer number (785596593600).

Almost surely, 245104313034431 is an apocalyptic number.

45104313034431 is a deficient number, since it is larger than the sum of its proper divisors (30312959951169).

45104313034431 is a wasteful number, since it uses less digits than its factorization.

45104313034431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39613 (or 39610 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 45104313034431 its reverse (13443031340154), we get a palindrome (58547344374585).

The spelling of 45104313034431 in words is "forty-five trillion, one hundred four billion, three hundred thirteen million, thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 63 167 199 501 557 597 1169 1393 1503 1671 1791 3507 3899 4179 5013 10521 11697 12537 33233 35091 38677 93019 99699 110843 116031 232631 270739 279057 299097 332529 348093 651133 697893 775901 812217 837171 997587 1953399 2093679 2327703 2436651 5860197 6459059 6983109 7696723 18510781 19377177 21543089 23090169 45213413 53877061 55532343 58131531 64629267 69270507 129575467 135640239 150801623 161631183 166597029 193887801 388726401 406920717 452404869 484893549 1166179203 1285352741 1357214607 3597695863 3856058223 4287074711 8997469187 10793087589 11568174669 12861224133 25183871041 26992407561 30009522977 32379262767 38583672399 75551613123 80977222683 90028568931 226654839369 270085706793 715941476737 2147824430211 5011590337159 6443473290633 15034771011477 45104313034431