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111004340441104 = 24114323397764433
BaseRepresentation
bin11001001111010100110110…
…010001111101000000010000
3112120000220121100021110110001
4121033110312101331000100
5104022143342123103404
61032030405013015344
732244541015435045
oct3117246621750020
9476026540243401
10111004340441104
11324077493357a0
1210549475024554
1349c2883878a36
141d5a8d29db1cc
15cc772704a7a4
hex64f53647d010

111004340441104 has 160 divisors (see below), whose sum is σ = 241360069002624. Its totient is φ = 49020607856640.

The previous prime is 111004340441083. The next prime is 111004340441171. The reversal of 111004340441104 is 401144043400111.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1722754872 + ... + 1722819304.

Almost surely, 2111004340441104 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 111004340441104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120680034501312).

111004340441104 is an abundant number, since it is smaller than the sum of its proper divisors (130355728561520).

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

111004340441104 is a wasteful number, since it uses less digits than its factorization.

111004340441104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65705 (or 65699 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 111004340441104 its reverse (401144043400111), we get a palindrome (512148383841215).

The spelling of 111004340441104 in words is "one hundred eleven trillion, four billion, three hundred forty million, four hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 233 344 466 473 688 932 946 977 1864 1892 1954 2563 3728 3784 3908 5126 7568 7816 10019 10252 10747 15632 20038 20504 21494 40076 41008 42011 42988 64433 80152 84022 85976 110209 128866 160304 168044 171952 220418 227641 257732 336088 440836 455282 462121 515464 672176 708763 881672 910564 924242 1030928 1417526 1763344 1821128 1848484 2504051 2770619 2835052 3642256 3696968 5008102 5541238 5670104 7393936 9788563 10016204 11082476 11340208 15012889 19577126 20032408 22164952 30025778 30476809 39154252 40064816 44329904 60051556 60953618 62951041 78308504 107674193 120103112 121907236 125902082 156617008 165141779 215348386 240206224 243814472 251804164 330283558 430696772 487628944 503608328 645554227 660567116 692461451 861393544 1007216656 1291108454 1321134232 1384922902 1722787088 2582216908 2642268464 2706894763 2769845804 5164433816 5413789526 5539691608 7101096497 10328867632 10827579052 11079383216 14202192994 14667592553 21655158104 28404385988 29335185106 29775842393 43310316208 56808771976 58670370212 59551684786 113617543952 117340740424 119103369572 161343518083 234681480848 238206739144 322687036166 476413478288 630706479779 645374072332 1261412959558 1290748144664 2522825919116 2581496289328 5045651838232 6937771277569 10091303676464 13875542555138 27751085110276 55502170220552 111004340441104