Search a number
-
+
40240446466224 = 2437322709505709
BaseRepresentation
bin10010010011001001101011…
…00001000110100010110000
312021110221121220101001211110
421021210311201012202300
520233244413243404344
6221330112250313320
711322163530222234
oct1111446541064260
9167427556331743
1040240446466224
1111904971a66a64
12461aa50128840
13195b8722c9594
149d19101865c4
1549bb2de693b9
hex2499358468b0

40240446466224 has 80 divisors (see below), whose sum is σ = 105383369541600. Its totient is φ = 13229127088128.

The previous prime is 40240446466201. The next prime is 40240446466229. The reversal of 40240446466224 is 42266464404204.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (40240446466229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79319482 + ... + 79825190.

It is an arithmetic number, because the mean of its divisors is an integer number (1317292119270).

Almost surely, 240240446466224 is an apocalyptic number.

It is an amenable number.

40240446466224 is an abundant number, since it is smaller than the sum of its proper divisors (65142923075376).

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

40240446466224 is a wasteful number, since it uses less digits than its factorization.

40240446466224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528502 (or 528496 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 48.

The spelling of 40240446466224 in words is "forty trillion, two hundred forty billion, four hundred forty-six million, four hundred sixty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3504 22709 45418 68127 90836 136254 181672 272508 363344 505709 545016 1011418 1090032 1517127 1657757 2022836 3034254 3315514 4045672 4973271 6068508 6631028 8091344 9946542 12137016 13262056 19893084 24274032 26524112 36916757 39786168 73833514 79572336 110750271 147667028 221500542 295334056 443001084 590668112 886002168 1772004336 11484145681 22968291362 34452437043 45936582724 68904874086 91873165448 137809748172 183746330896 275619496344 551238992688 838342634713 1676685269426 2515027904139 3353370538852 5030055808278 6706741077704 10060111616556 13413482155408 20120223233112 40240446466224