Search a number
-
+
5440442216 = 23111931432441
BaseRepresentation
bin1010001000100011…
…01000111101101000
3112001011011002200212
411010101220331220
542120223122331
62255503320252
7251550665366
oct50421507550
915034132625
105440442216
112341a95840
121079bb0088
136891900a1
14398792636
1521c957d2b
hex144468f68

5440442216 has 128 divisors (see below), whose sum is σ = 12378009600. Its totient is φ = 2213568000.

The previous prime is 5440442213. The next prime is 5440442257. The reversal of 5440442216 is 6122440445.

It is not an unprimeable number, because it can be changed into a prime (5440442213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2227556 + ... + 2229996.

It is an arithmetic number, because the mean of its divisors is an integer number (96703200).

Almost surely, 25440442216 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 5440442216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6189004800).

5440442216 is an abundant number, since it is smaller than the sum of its proper divisors (6937567384).

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

5440442216 is a wasteful number, since it uses less digits than its factorization.

5440442216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 5440442216 is about 73759.3534136519. The cubic root of 5440442216 is about 1758.7795231708.

The spelling of 5440442216 in words is "five billion, four hundred forty million, four hundred forty-two thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 19 22 31 38 43 44 62 76 86 88 124 152 172 209 248 341 344 418 473 589 682 817 836 946 1178 1333 1364 1634 1672 1892 2356 2441 2666 2728 3268 3784 4712 4882 5332 6479 6536 8987 9764 10664 12958 14663 17974 19528 25327 25916 26851 29326 35948 46379 50654 51832 53702 58652 71896 75671 92758 101308 104963 107404 117304 151342 185516 202616 209926 214808 278597 302684 371032 419852 510169 557194 605368 832381 839704 1020338 1114388 1154593 1437749 1664762 1994297 2040676 2228776 2309186 2875498 3253853 3329524 3988594 4081352 4618372 5750996 6507706 6659048 7977188 9236744 11501992 13015412 15815239 15954376 21937267 26030824 31630478 35792383 43874534 61823207 63260956 71584766 87749068 123646414 126521912 143169532 175498136 247292828 286339064 494585656 680055277 1360110554 2720221108 5440442216