Search a number
-
+
40026375224505 = 3251773697100293
BaseRepresentation
bin10010001100111010111011…
…11000000111110010111001
312020201111001220120020111100
421012131131320013302321
520221243004024141010
6221043510220522013
711300544614542005
oct1106353570076271
9166644056506440
1040026375224505
11118320aa36867a
1245a54680b0309
1319446179b6797
149c5403365705
154962a04dd2c0
hex24675de07cb9

40026375224505 has 48 divisors (see below), whose sum is σ = 73470150159120. Its totient is φ = 20088941359104.

The previous prime is 40026375224491. The next prime is 40026375224513. The reversal of 40026375224505 is 50542257362004.

40026375224505 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 6 + 375 + 224 + 50 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 91925388864 + 39934449835641 = 303192^2 + 6319371^2 .

It is not a de Polignac number, because 40026375224505 - 24 = 40026375224489 is a prime.

It is a super-2 number, since 2×400263752245052 (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2087139 + ... + 9187431.

It is an arithmetic number, because the mean of its divisors is an integer number (1530628128315).

Almost surely, 240026375224505 is an apocalyptic number.

40026375224505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40026375224505 is a deficient number, since it is larger than the sum of its proper divisors (33443774934615).

40026375224505 is a wasteful number, since it uses less digits than its factorization.

40026375224505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7107690 (or 7107687 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 40026375224505 in words is "forty trillion, twenty-six billion, three hundred seventy-five million, two hundred twenty-four thousand, five hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 7369 22107 36845 66321 110535 125273 331605 375819 626365 1127457 1879095 5637285 7100293 21300879 35501465 63902637 106504395 120704981 319513185 362114943 603524905 1086344829 1810574715 5431724145 52322059117 156966177351 261610295585 470898532053 784830886755 889475004989 2354492660265 2668425014967 4447375024945 8005275044901 13342125074835 40026375224505