Search a number
-
+
40122422173512 = 2334725734417631
BaseRepresentation
bin10010001111101101110101…
…01110001001111101001000
312021001122222120211210020000
421013312322232021331020
520224331210034023022
6221155553012203000
711310515011253340
oct1107667256117510
9167048876753200
1040122422173512
1111869907366a88
1245bbbb2009460
1319506b35322a3
149c9d153b3d20
15498a226786ac
hex247dbab89f48

40122422173512 has 160 divisors (see below), whose sum is σ = 128933956293120. Its totient is φ = 11418943610880.

The previous prime is 40122422173511. The next prime is 40122422173541. The reversal of 40122422173512 is 21537122422104.

40122422173512 is a `hidden beast` number, since 4 + 0 + 12 + 2 + 42 + 21 + 73 + 512 = 666.

It is a super-2 number, since 2×401224221735122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40122422173511) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16043064 + ... + 18374567.

It is an arithmetic number, because the mean of its divisors is an integer number (805837226832).

Almost surely, 240122422173512 is an apocalyptic number.

40122422173512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40122422173512 is an abundant number, since it is smaller than the sum of its proper divisors (88811534119608).

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

40122422173512 is a wasteful number, since it uses less digits than its factorization.

40122422173512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34417913 (or 34417900 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 40122422173512 its reverse (21537122422104), we get a palindrome (61659544595616).

The spelling of 40122422173512 in words is "forty trillion, one hundred twenty-two billion, four hundred twenty-two million, one hundred seventy-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 257 324 378 504 514 567 648 756 771 1028 1134 1512 1542 1799 2056 2268 2313 3084 3598 4536 4626 5397 6168 6939 7196 9252 10794 13878 14392 16191 18504 20817 21588 27756 32382 41634 43176 48573 55512 64764 83268 97146 129528 145719 166536 194292 291438 388584 582876 1165752 34417631 68835262 103252893 137670524 206505786 240923417 275341048 309758679 413011572 481846834 619517358 722770251 826023144 929276037 963693668 1239034716 1445540502 1858552074 1927387336 2168310753 2478069432 2787828111 2891081004 3717104148 4336621506 5575656222 5782162008 6504932259 7434208296 8673243012 8845331167 11151312444 13009864518 17346486024 17690662334 19514796777 22302624888 26019729036 26535993501 35381324668 39029593554 52039458072 53071987002 61917318169 70762649336 78059187108 79607980503 106143974004 123834636338 156118374216 159215961006 185751954507 212287948008 238823941509 247669272676 318431922012 371503909014 477647883018 495338545352 557255863521 636863844024 716471824527 743007818028 955295766036 1114511727042 1432943649054 1486015636056 1671767590563 1910591532072 2229023454084 2865887298108 3343535181126 4458046908168 5015302771689 5731774596216 6687070362252 10030605543378 13374140724504 20061211086756 40122422173512