Search a number
-
+
40402016512 = 2811131103639
BaseRepresentation
bin100101101000001001…
…011101100100000000
310212021200112002110221
4211220021131210000
51130220404012022
630321015232424
72630125321414
oct455011354400
9125250462427
1040402016512
1116152980aa0
1279b6678714
133a6b44b960
141d53b38d44
1510b6e47cc7
hex96825d900

40402016512 has 72 divisors (see below), whose sum is σ = 94745286720. Its totient is φ = 16951879680.

The previous prime is 40402016509. The next prime is 40402016521. The reversal of 40402016512 is 21561020404.

It is a happy number.

It is a super-2 number, since 2×404020165122 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 515212 + ... + 588427.

It is an arithmetic number, because the mean of its divisors is an integer number (1315906760).

Almost surely, 240402016512 is an apocalyptic number.

It is an amenable number.

40402016512 is an abundant number, since it is smaller than the sum of its proper divisors (54343270208).

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

40402016512 is a wasteful number, since it uses less digits than its factorization.

40402016512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103679 (or 1103665 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 40402016512 its reverse (21561020404), we get a palindrome (61963036916).

The spelling of 40402016512 in words is "forty billion, four hundred two million, sixteen thousand, five hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 572 704 832 1144 1408 1664 2288 2816 3328 4576 9152 18304 36608 1103639 2207278 4414556 8829112 12140029 14347307 17658224 24280058 28694614 35316448 48560116 57389228 70632896 97120232 114778456 141265792 157820377 194240464 229556912 282531584 315640754 388480928 459113824 631281508 776961856 918227648 1262563016 1553923712 1836455296 2525126032 3107847424 3672910592 5050252064 10100504128 20201008256 40402016512