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1441938264 = 2331323434673
BaseRepresentation
bin101010111110010…
…0011101101011000
310201111021001102220
41111330203231120
510423114011024
6355025424040
750506162434
oct12574435530
93644231386
101441938264
1167aa33618
12342a9b020
1319c973610
14d970b9c4
15868cae79
hex55f23b58

1441938264 has 128 divisors (see below), whose sum is σ = 4146024960. Its totient is φ = 414425088.

The previous prime is 1441938227. The next prime is 1441938269. The reversal of 1441938264 is 4628391441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441938269) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 306232 + ... + 310904.

It is an arithmetic number, because the mean of its divisors is an integer number (32390820).

Almost surely, 21441938264 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 1441938264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073012480).

1441938264 is an abundant number, since it is smaller than the sum of its proper divisors (2704086696).

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

1441938264 is a wasteful number, since it uses less digits than its factorization.

1441938264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4757 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 1441938264 is about 37972.8622044744. The cubic root of 1441938264 is about 1129.7496675743.

The spelling of 1441938264 in words is "one billion, four hundred forty-one million, nine hundred thirty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 43 46 52 69 78 86 92 104 129 138 156 172 184 258 276 299 312 344 516 552 559 598 897 989 1032 1118 1196 1677 1794 1978 2236 2392 2967 3354 3588 3956 4472 4673 5934 6708 7176 7912 9346 11868 12857 13416 14019 18692 23736 25714 28038 37384 38571 51428 56076 60749 77142 102856 107479 112152 121498 154284 182247 200939 214958 242996 308568 322437 364494 401878 429916 485992 602817 644874 728988 803756 859832 1205634 1289748 1397227 1457976 1607512 2411268 2579496 2612207 2794454 4191681 4621597 4822536 5224414 5588908 7836621 8383362 9243194 10448828 11177816 13864791 15673242 16766724 18486388 20897656 27729582 31346484 33533448 36972776 55459164 60080761 62692968 110918328 120161522 180242283 240323044 360484566 480646088 720969132 1441938264