Search a number
-
+
40224230143344 = 243213294118071743
BaseRepresentation
bin10010010010101011011101…
…11100101111010101110000
312021102101202202111111211100
421021111232330233111300
520233013210404041334
6221314431202244400
711321050630602042
oct1111255674572560
9167371682444740
1040224230143344
11118a90002aa625
124617885356700
13195a189792560
149d0c125c3a92
1549b4d0492c99
hex24956ef2f570

40224230143344 has 240 divisors, whose sum is σ = 128470582356480. Its totient is φ = 11658442199040.

The previous prime is 40224230143337. The next prime is 40224230143403. The reversal of 40224230143344 is 44334103242204.

40224230143344 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 4 + 2 + 301 + 4 + 3 + 344 = 666.

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 = 40224230143299 and 40224230143308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6810064 + ... + 11261679.

It is an arithmetic number, because the mean of its divisors is an integer number (535294093152).

Almost surely, 240224230143344 is an apocalyptic number.

It is an amenable number.

40224230143344 is an abundant number, since it is smaller than the sum of its proper divisors (88246352213136).

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

40224230143344 is a wasteful number, since it uses less digits than its factorization.

40224230143344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18071840 (or 18071831 counting only the distinct ones).

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

Adding to 40224230143344 its reverse (44334103242204), we get a palindrome (84558333385548).

The spelling of 40224230143344 in words is "forty trillion, two hundred twenty-four billion, two hundred thirty million, one hundred forty-three thousand, three hundred forty-four".