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45310505202414 = 232191019934913907
BaseRepresentation
bin10100100110101101011001…
…00100010011001011101110
312221102122100000100202000200
422103112230210103023232
521414331403312434124
6240211205252534330
712354401362345524
oct1223265444231356
9187378300322020
1045310505202414
111348a093a429a1
1250b95906213a6
131c389baa31b1a
14b2907c274314
1553896beeebc9
hex2935ac9132ee

45310505202414 has 96 divisors (see below), whose sum is σ = 103459664880000. Its totient is φ = 14291982055872.

The previous prime is 45310505202379. The next prime is 45310505202421. The reversal of 45310505202414 is 41420250501354.

45310505202414 is a `hidden beast` number, since 4 + 5 + 3 + 105 + 0 + 520 + 24 + 1 + 4 = 666.

45310505202414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×453105052024142 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3258100849 + ... + 3258114755.

It is an arithmetic number, because the mean of its divisors is an integer number (1077704842500).

Almost surely, 245310505202414 is an apocalyptic number.

45310505202414 is an abundant number, since it is smaller than the sum of its proper divisors (58149159677586).

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

45310505202414 is a wasteful number, since it uses less digits than its factorization.

45310505202414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24302 (or 24299 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 45310505202414 its reverse (41420250501354), we get a palindrome (86730755703768).

The spelling of 45310505202414 in words is "forty-five trillion, three hundred ten billion, five hundred five million, two hundred two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 1019 2038 3057 6114 9171 9349 13907 18342 18698 19361 27814 28047 38722 41721 56094 58083 83442 84141 116166 125163 168282 174249 177631 250326 264233 348498 355262 528466 532893 792699 1065786 1585398 1598679 2378097 3197358 4756194 9526631 14171233 19053262 28342466 28579893 42513699 57159786 85027398 85739679 127541097 130016543 171479358 181005989 255082194 260033086 269253427 362011978 390049629 538506854 543017967 780099258 807760281 1086035934 1170148887 1615520562 1629053901 2340297774 2423280843 2470314317 3258107802 4846561686 4940628634 7410942951 14821885902 22232828853 44465657706 132486857317 264973714634 397460571951 794921143902 1192381715853 2384763431706 2517250289023 5034500578046 7551750867069 15103501734138 22655252601207 45310505202414