Search a number
-
+
40222243421232 = 24317523881106979
BaseRepresentation
bin10010010010100111110001…
…00001111111110000110000
312021102012122022010120102220
421021103320201333300300
520233000123303434412
6221313502112041040
711320650455001225
oct1111237041776060
9167365568116386
1040222243421232
11118a8180901924
12461740bb33180
131959c30cb6a42
149d0aa47c394c
1549b415d5468c
hex2494f887fc30

40222243421232 has 160 divisors (see below), whose sum is σ = 110356179252480. Its totient is φ = 12580202004480.

The previous prime is 40222243421177. The next prime is 40222243421263. The reversal of 40222243421232 is 23212434222204.

It is a junction number, because it is equal to n+sod(n) for n = 40222243421193 and 40222243421202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375929119 + ... + 376036097.

It is an arithmetic number, because the mean of its divisors is an integer number (689726120328).

Almost surely, 240222243421232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40222243421232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55178089626240).

40222243421232 is an abundant number, since it is smaller than the sum of its proper divisors (70133935831248).

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

40222243421232 is a wasteful number, since it uses less digits than its factorization.

40222243421232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108411 (or 108405 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 40222243421232 its reverse (23212434222204), we get a palindrome (63434677643436).

The spelling of 40222243421232 in words is "forty trillion, two hundred twenty-two billion, two hundred forty-three million, four hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 523 816 881 1046 1569 1762 2092 2643 3138 3524 4184 5286 6276 7048 8368 8891 10572 12552 14096 14977 17782 21144 25104 26673 29954 35564 42288 44931 53346 59908 71128 89862 106692 106979 119816 142256 179724 213384 213958 239632 320937 359448 426768 427916 460763 641874 718896 855832 921526 1283748 1382289 1711664 1818643 1843052 2567496 2764578 3637286 3686104 5134992 5455929 5529156 7274572 7372208 7832971 10911858 11058312 14549144 15665942 21823716 22116624 23498913 29098288 31331884 43647432 46997826 55950017 62663768 87294864 93995652 94248499 111900034 125327536 167850051 187991304 188496998 223800068 282745497 335700102 375982608 376993996 447600136 565490994 671400204 753987992 895200272 951150289 1130981988 1342800408 1507975984 1602224483 1902300578 2261963976 2685600816 2853450867 3204448966 3804601156 4523927952 4806673449 5706901734 6408897932 7609202312 9613346898 11413803468 12817795864 15218404624 19226693796 22827606936 25635591728 38453387592 45655213872 49291964977 76906775184 98583929954 147875894931 197167859908 295751789862 394335719816 591503579724 788671439632 837963404609 1183007159448 1675926809218 2366014318896 2513890213827 3351853618436 5027780427654 6703707236872 10055560855308 13407414473744 20111121710616 40222243421232