Search a number
-
+
110001415432304 = 24112393167825733
BaseRepresentation
bin11001000000101110110011…
…010010101010100001110000
3112102111000212202221012012202
4121000232303102222201300
5103404230344322313204
61025541541433242332
732112224422505414
oct3100566322524160
9472430782835182
10110001415432304
113206037a30a460
12104070175633a8
13494c1205c4276
141d2414dd0cd44
15cab5c8b04e1e
hex640bb34aa870

110001415432304 has 80 divisors (see below), whose sum is σ = 233549811855360. Its totient is φ = 49775653428480.

The previous prime is 110001415432283. The next prime is 110001415432333. The reversal of 110001415432304 is 403234514100011.

It is a super-2 number, since 2×1100014154323042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132803822 + ... + 133629554.

It is an arithmetic number, because the mean of its divisors is an integer number (2919372648192).

Almost surely, 2110001415432304 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 110001415432304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116774905927680).

110001415432304 is an abundant number, since it is smaller than the sum of its proper divisors (123548396423056).

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

110001415432304 is a wasteful number, since it uses less digits than its factorization.

110001415432304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829158 (or 829152 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 110001415432304 its reverse (403234514100011), we get a palindrome (513235929532315).

The spelling of 110001415432304 in words is "one hundred ten trillion, one billion, four hundred fifteen million, four hundred thirty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 239 478 956 1912 2629 3167 3824 5258 6334 10516 12668 21032 25336 34837 42064 50672 69674 139348 278696 557392 756913 825733 1513826 1651466 3027652 3302932 6055304 6605864 8326043 9083063 12110608 13211728 16652086 18166126 33304172 36332252 66608344 72664504 133216688 145329008 197350187 394700374 789400748 1578801496 2170852057 2615096411 3157602992 4341704114 5230192822 8683408228 10460385644 17366816456 20920771288 28766060521 34733632912 41841542576 57532121042 115064242084 230128484168 460256968336 625008042229 1250016084458 2500032168916 5000064337832 6875088464519 10000128675664 13750176929038 27500353858076 55000707716152 110001415432304