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40224442336 = 2513316195039
BaseRepresentation
bin100101011101100100…
…000100011111100000
310211211022101101111121
4211131210010133200
51124334424123321
630251233222024
72622541055431
oct453544043740
9124738341447
1040224442336
1116071715981
127967101914
133a40716c90
141d38313488
1510a656d441
hex95d9047e0

40224442336 has 96 divisors (see below), whose sum is σ = 88194355200. Its totient is φ = 17933667840.

The previous prime is 40224442333. The next prime is 40224442343. The reversal of 40224442336 is 63324442204.

It is a happy number.

It is a super-2 number, since 2×402244423362 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40224442333) 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, 7980105 + ... + 7985143.

It is an arithmetic number, because the mean of its divisors is an integer number (918691200).

Almost surely, 240224442336 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 40224442336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44097177600).

40224442336 is an abundant number, since it is smaller than the sum of its proper divisors (47969912864).

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

40224442336 is a wasteful number, since it uses less digits than its factorization.

40224442336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5712 (or 5704 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

The spelling of 40224442336 in words is "forty billion, two hundred twenty-four million, four hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 619 806 992 1238 1612 2476 3224 4952 5039 6448 8047 9904 10078 12896 16094 19189 19808 20156 32188 38378 40312 64376 65507 76756 80624 128752 131014 153512 156209 161248 249457 257504 262028 307024 312418 498914 524056 614048 624836 997828 1048112 1249672 1995656 2030717 2096224 2499344 3119141 3991312 4061434 4998688 6238282 7982624 8122868 12476564 16245736 24953128 32491472 40548833 49906256 64982944 81097666 96693371 99812512 162195332 193386742 324390664 386773484 648781328 773546968 1257013823 1297562656 1547093936 2514027646 3094187872 5028055292 10056110584 20112221168 40224442336