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111444413024 = 2572891994013
BaseRepresentation
bin110011111001010011…
…0101100101001100000
3101122122202022202112202
41213302212230221200
53311214232204044
6123110304312332
711023460611100
oct1476246545140
9348582282482
10111444413024
1143299513a8a
12197226126a8
13a680828a79
145572d77200
152d73d11c4e
hex19f29aca60

111444413024 has 144 divisors (see below), whose sum is σ = 259456932000. Its totient is φ = 46976219136.

The previous prime is 111444413021. The next prime is 111444413039. The reversal of 111444413024 is 420314444111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111444413021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27768842 + ... + 27772854.

It is an arithmetic number, because the mean of its divisors is an integer number (1801784250).

Almost surely, 2111444413024 is an apocalyptic number.

111444413024 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 111444413024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129728466000).

111444413024 is an abundant number, since it is smaller than the sum of its proper divisors (148012518976).

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

111444413024 is a wasteful number, since it uses less digits than its factorization.

111444413024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4325 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 111444413024 its reverse (420314444111), we get a palindrome (531758857135).

The spelling of 111444413024 in words is "one hundred eleven billion, four hundred forty-four million, four hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 89 98 112 178 196 199 224 356 392 398 623 712 784 796 1246 1393 1424 1568 1592 2492 2786 2848 3184 4013 4361 4984 5572 6368 8026 8722 9751 9968 11144 16052 17444 17711 19502 19936 22288 28091 32104 34888 35422 39004 44576 56182 64208 69776 70844 78008 112364 123977 128416 139552 141688 156016 196637 224728 247954 283376 312032 357157 393274 449456 495908 566752 714314 786548 798587 867839 898912 991816 1428628 1573096 1597174 1735678 1983632 2500099 2857256 3146192 3194348 3471356 3967264 5000198 5590109 5714512 6292384 6388696 6942712 10000396 11180218 11429024 12777392 13885424 17500693 20000792 22360436 25554784 27770848 35001386 39130763 40001584 44720872 70002772 71074243 78261526 80003168 89441744 140005544 142148486 156523052 178883488 280011088 284296972 313046104 497519701 560022176 568593944 626092208 995039402 1137187888 1252184416 1990078804 2274375776 3482637907 3980157608 6965275814 7960315216 13930551628 15920630432 27861103256 55722206512 111444413024