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4145242563 = 3272112131593
BaseRepresentation
bin1111011100010011…
…0110000111000011
3101200220000010210100
43313010312013003
531442140230223
61523154533443
7204502660200
oct36704660703
911626003710
104145242563
111837977100
12978297283
13510a46067
142b4760ca7
15193db5043
hexf71361c3

4145242563 has 108 divisors (see below), whose sum is σ = 7727343624. Its totient is φ = 2133331200.

The previous prime is 4145242561. The next prime is 4145242567. The reversal of 4145242563 is 3652425414.

4145242563 is a `hidden beast` number, since 4 + 1 + 4 + 52 + 42 + 563 = 666.

It is not a de Polignac number, because 4145242563 - 21 = 4145242561 is a prime.

It is a super-2 number, since 2×41452425632 = 34366071812213617938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4145242561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6989995 + ... + 6990587.

It is an arithmetic number, because the mean of its divisors is an integer number (71549478).

Almost surely, 24145242563 is an apocalyptic number.

4145242563 is a deficient number, since it is larger than the sum of its proper divisors (3582101061).

4145242563 is a wasteful number, since it uses less digits than its factorization.

4145242563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 745 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 4145242563 is about 64383.5581728752. The cubic root of 4145242563 is about 1606.3862678823.

Adding to 4145242563 its reverse (3652425414), we get a palindrome (7797667977).

The spelling of 4145242563 in words is "four billion, one hundred forty-five million, two hundred forty-two thousand, five hundred sixty-three".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 131 147 231 363 393 441 539 593 693 847 917 1089 1179 1441 1617 1779 2541 2751 4151 4323 4851 5337 5929 6419 6523 7623 8253 10087 12453 12969 15851 17787 19257 19569 29057 30261 37359 45661 47553 53361 57771 58707 70609 71753 77683 87171 90783 110957 136983 142659 211827 215259 233049 261513 319627 332871 410949 502271 543781 635481 645777 699147 776699 854513 958881 998613 1506813 1631343 2330097 2563539 2876643 3515897 3806467 4520439 4894029 5981591 6990291 7690617 9399643 10547691 11419401 17944773 28198929 31643073 34258203 41871137 53834319 65797501 84596787 125613411 197392503 376840233 460582507 592177509 1381747521 4145242563