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1345446162045 = 345173721125031
BaseRepresentation
bin10011100101000010110…
…101110010111001111101
311202121211110022200120000
4103211002311302321331
5134020433204141140
62510031152344513
7166130260452546
oct23450265627175
94677743280500
101345446162045
114796673123a7
1219890b245139
1399b4b59039b
14491971974cd
1524ee8ae4a30
hex13942d72e7d

1345446162045 has 160 divisors (see below), whose sum is σ = 2635264025856. Its totient is φ = 653967820800.

The previous prime is 1345446162041. The next prime is 1345446162059. The reversal of 1345446162045 is 5402616445431.

1345446162045 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 4 + 4 + 616 + 20 + 4 + 5 = 666.

It is not a de Polignac number, because 1345446162045 - 22 = 1345446162041 is a prime.

It is a super-3 number, since 3×13454461620453 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345446162041) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 53738680 + ... + 53763710.

Almost surely, 21345446162045 is an apocalyptic number.

1345446162045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1345446162045 is a deficient number, since it is larger than the sum of its proper divisors (1289817863811).

1345446162045 is a wasteful number, since it uses less digits than its factorization.

1345446162045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25313 (or 25304 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 1345446162045 in words is "one trillion, three hundred forty-five billion, four hundred forty-six million, one hundred sixty-two thousand, forty-five".

Divisors: 1 3 5 9 15 17 27 37 45 51 81 85 111 135 153 185 211 255 333 405 459 555 629 633 765 999 1055 1377 1665 1887 1899 2295 2997 3145 3165 3587 4995 5661 5697 6885 7807 9435 9495 10761 14985 16983 17091 17935 23421 25031 28305 28485 32283 39035 50949 53805 70263 75093 84915 85455 96849 117105 125155 132719 161415 210789 225279 254745 290547 351315 375465 398157 425527 484245 632367 663595 675837 926147 1053945 1126395 1194471 1276581 1452735 1990785 2027511 2127635 2778441 3161835 3379185 3583413 3829743 4630735 5281541 5972355 6382905 8335323 10137555 10750239 11489229 13892205 15744499 15844623 17917065 19148715 25005969 26407705 34467687 41676615 47233497 47533869 53751195 57446145 75017907 78722495 79223115 89786197 125029845 141700491 142601607 172338435 195417017 236167485 237669345 269358591 375089535 425101473 427804821 448930985 586251051 708502455 713008035 808075773 977085085 1275304419 1346792955 1758753153 2125507365 2139024105 2424227319 2931255255 3322089289 4040378865 5276259459 6376522095 7272681957 8793765765 9966267867 12121136595 15828778377 16610446445 26381297295 29898803601 36363409785 49831339335 79143891885 89696410803 149494018005 269089232409 448482054015 1345446162045