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40223233024 = 210132415669
BaseRepresentation
bin100101011101011111…
…011101010000000000
310211211020002221122021
4211131133131100000
51124334121424044
630251151251224
72622524560642
oct453537352000
9124736087567
1040223233024
1116070a6a347
127966819b14
133a403b2700
141d380ba892
1510a63cee84
hex95d7dd400

40223233024 has 132 divisors (see below), whose sum is σ = 89207482140. Its totient is φ = 18108579840.

The previous prime is 40223233009. The next prime is 40223233031. The reversal of 40223233024 is 42033232204.

It can be written as a sum of positive squares in 6 ways, for example, as 21059814400 + 19163418624 = 145120^2 + 138432^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40223233024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7092462 + ... + 7098130.

Almost surely, 240223233024 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 40223233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44603741070).

40223233024 is an abundant number, since it is smaller than the sum of its proper divisors (48984249116).

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

40223233024 is a wasteful number, since it uses less digits than its factorization.

40223233024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5756 (or 5725 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 40223233024 its reverse (42033232204), we get a palindrome (82256465228).

The spelling of 40223233024 in words is "forty billion, two hundred twenty-three million, two hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 169 208 256 328 338 416 512 533 656 676 832 1024 1066 1312 1352 1664 2132 2624 2704 3328 4264 5248 5408 5669 6656 6929 8528 10496 10816 11338 13312 13858 17056 20992 21632 22676 27716 34112 41984 43264 45352 55432 68224 73697 86528 90704 110864 136448 147394 173056 181408 221728 232429 272896 294788 362816 443456 464858 545792 589576 725632 886912 929716 958061 1179152 1451264 1773824 1859432 1916122 2358304 2902528 3021577 3547648 3718864 3832244 4716608 5805056 6043154 7095296 7437728 7664488 9433216 12086308 14875456 15328976 18866432 24172616 29750912 30657952 37732864 39280501 48345232 59501824 61315904 75465728 78561002 96690464 119003648 122631808 157122004 193380928 238007296 245263616 314244008 386761856 490527232 628488016 773523712 981054464 1256976032 1547047424 2513952064 3094094848 5027904128 10055808256 20111616512 40223233024