Search a number
-
+
103366014444 = 223271183449269
BaseRepresentation
bin110000001000100011…
…0000011010111101100
3100212210202101121000100
41200101012003113230
53143143144430234
6115252524231100
710316335424460
oct1402106032754
9325722347010
10103366014444
113a923469620
121804909b490
139993c96474
1450081024a0
152a4e9cc399
hex18111835ec

103366014444 has 144 divisors (see below), whose sum is σ = 329685108480. Its totient is φ = 26524782720.

The previous prime is 103366014419. The next prime is 103366014461. The reversal of 103366014444 is 444410663301.

103366014444 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 6 + 601 + 4 + 4 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103366014399 and 103366014408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5442 + ... + 454710.

It is an arithmetic number, because the mean of its divisors is an integer number (2289479920).

Almost surely, 2103366014444 is an apocalyptic number.

103366014444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103366014444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164842554240).

103366014444 is an abundant number, since it is smaller than the sum of its proper divisors (226319094036).

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

103366014444 is a wasteful number, since it uses less digits than its factorization.

103366014444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449380 (or 449375 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 103366014444 its reverse (444410663301), we get a palindrome (547776677745).

The spelling of 103366014444 in words is "one hundred three billion, three hundred sixty-six million, fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 83 84 99 126 132 154 166 198 231 249 252 308 332 396 462 498 581 693 747 913 924 996 1162 1386 1494 1743 1826 2324 2739 2772 2988 3486 3652 5229 5478 6391 6972 8217 10458 10956 12782 16434 19173 20916 25564 32868 38346 57519 76692 115038 230076 449269 898538 1347807 1797076 2695614 3144883 4043421 4941959 5391228 6289766 8086842 9434649 9883918 12579532 14825877 16173684 18869298 19767836 28303947 29651754 34593713 37289327 37738596 44477631 56607894 59303508 69187426 74578654 88955262 103781139 111867981 113215788 138374852 149157308 177910524 207562278 223735962 261025289 311343417 335603943 410182597 415124556 447471924 522050578 622686834 671207886 783075867 820365194 1044101156 1230547791 1245373668 1342415772 1566151734 1640730388 2349227601 2461095582 2871278179 3132303468 3691643373 4698455202 4922191164 5742556358 7383286746 8613834537 9396910404 11485112716 14766573492 17227669074 25841503611 34455338148 51683007222 103366014444