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4411944438 = 23111961137421
BaseRepresentation
bin1000001101111100…
…01110110111110110
3102101110211222222120
410012332032313312
533013424210223
62005443140410
7214221623526
oct40676166766
912343758876
104411944438
111964478180
12a31674706
13554085915
142dbd47686
151ac4e7be3
hex106f8edf6

4411944438 has 128 divisors (see below), whose sum is σ = 10398620160. Its totient is φ = 1233792000.

The previous prime is 4411944413. The next prime is 4411944451. The reversal of 4411944438 is 8344491144.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4411944438.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10479468 + ... + 10479888.

It is an arithmetic number, because the mean of its divisors is an integer number (81239220).

Almost surely, 24411944438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4411944438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199310080).

4411944438 is an abundant number, since it is smaller than the sum of its proper divisors (5986675722).

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

4411944438 is a wasteful number, since it uses less digits than its factorization.

4411944438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654.

The product of its digits is 221184, while the sum is 42.

The square root of 4411944438 is about 66422.4693759574. The cubic root of 4411944438 is about 1640.1239790767.

It can be divided in two parts, 4411 and 944438, that added together give a palindrome (948849).

The spelling of 4411944438 in words is "four billion, four hundred eleven million, nine hundred forty-four thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 11 19 22 33 38 57 61 66 114 122 137 183 209 274 366 411 418 421 627 671 822 842 1159 1254 1263 1342 1507 2013 2318 2526 2603 3014 3477 4026 4521 4631 5206 6954 7809 7999 8357 9042 9262 12749 13893 15618 15998 16714 23997 25071 25498 25681 27786 28633 38247 47994 50142 51362 57266 57677 76494 77043 85899 87989 91927 115354 154086 158783 171798 173031 175978 183854 263967 275781 282491 317566 346062 476349 487939 527934 551562 564982 634447 847473 952698 975878 1095863 1268894 1463817 1694946 1746613 1903341 2191726 2927634 3287589 3493226 3518297 3806682 5239839 5367329 6575178 7036594 10479678 10554891 10734658 12054493 16101987 21109782 24108986 32203974 36163479 38701267 66847643 72326958 77402534 116103801 133695286 200542929 232207602 401085858 735324073 1470648146 2205972219 4411944438