Search a number
-
+
40301342145 = 32517314339521
BaseRepresentation
bin100101100010001001…
…011010110111000001
310212000200002022012200
4211202021122313001
51130014120422040
630303021343413
72624463520221
oct454211326701
9125020068180
1040301342145
1116101069939
127988a07b69
133a5363021c
141d44610081
1510ad1ad630
hex96225adc1

40301342145 has 96 divisors (see below), whose sum is σ = 78128354304. Its totient is φ = 19121356800.

The previous prime is 40301342143. The next prime is 40301342173. The reversal of 40301342145 is 54124310304.

It is a happy number.

40301342145 is a `hidden beast` number, since 4 + 0 + 301 + 342 + 14 + 5 = 666.

It is not a de Polignac number, because 40301342145 - 21 = 40301342143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40301342143) 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, 999985 + ... + 1039505.

It is an arithmetic number, because the mean of its divisors is an integer number (813837024).

Almost surely, 240301342145 is an apocalyptic number.

40301342145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40301342145 is a deficient number, since it is larger than the sum of its proper divisors (37827012159).

40301342145 is a wasteful number, since it uses less digits than its factorization.

40301342145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39623 (or 39620 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 40301342145 its reverse (54124310304), we get a palindrome (94425652449).

The spelling of 40301342145 in words is "forty billion, three hundred one million, three hundred forty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 17 31 43 45 51 85 93 129 153 155 215 255 279 387 465 527 645 731 765 1333 1395 1581 1935 2193 2635 3655 3999 4743 6579 6665 7905 10965 11997 19995 22661 23715 32895 39521 59985 67983 113305 118563 197605 203949 339915 355689 592815 671857 1019745 1225151 1699403 1778445 2015571 3359285 3675453 5098209 6046713 6125755 8497015 10077855 11026359 15294627 18377265 20827567 25491045 28889851 30233565 52681493 55131795 62482701 76473135 86669553 104137835 144449255 158044479 187448103 260008659 263407465 312413505 433347765 474133437 790222395 895585381 937240515 1300043295 2370667185 2686756143 4477926905 8060268429 13433780715 40301342145