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40222341223344 = 2432739903116293
BaseRepresentation
bin10010010010100111111100…
…10111000101001110110000
312021102012220010011102201100
421021103332113011032300
520233000323323121334
6221313515524204400
711320653053210460
oct1111237627051660
9167365803142640
1040222341223344
11118a8221032015
124617438839700
131959c4833b007
149d0ab37a1ba0
1549b41e722c99
hex2494fe5c53b0

40222341223344 has 60 divisors (see below), whose sum is σ = 128647646931856. Its totient is φ = 11492097492096.

The previous prime is 40222341223319. The next prime is 40222341223369. The reversal of 40222341223344 is 44332214322204.

40222341223344 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 2 + 3 + 412 + 233 + 4 + 4 = 666.

40222341223344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40222341223319) and next prime (40222341223369).

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

It is a junction number, because it is equal to n+sod(n) for n = 40222341223299 and 40222341223308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19951557139 + ... + 19951559154.

Almost surely, 240222341223344 is an apocalyptic number.

It is an amenable number.

40222341223344 is an abundant number, since it is smaller than the sum of its proper divisors (88425305708512).

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

40222341223344 is a wasteful number, since it uses less digits than its factorization.

40222341223344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39903116314 (or 39903116305 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 40222341223344 its reverse (44332214322204), we get a palindrome (84554555545548).

The spelling of 40222341223344 in words is "forty trillion, two hundred twenty-two billion, three hundred forty-one million, two hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 39903116293 79806232586 119709348879 159612465172 239418697758 279321814051 319224930344 359128046637 478837395516 558643628102 638449860688 718256093274 837965442153 957674791032 1117287256204 1436512186548 1675930884306 1915349582064 2234574512408 2513896326459 2873024373096 3351861768612 4469149024816 5027792652918 5746048746192 6703723537224 10055585305836 13407447074448 20111170611672 40222341223344