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4032200113304 = 2311163683411577
BaseRepresentation
bin111010101011010001110…
…110101111110010011000
3112021110210221212221101012
4322223101312233302120
51012030421212111204
612324211150113052
7564213451312346
oct72532166576230
915243727787335
104032200113304
111315056932360
125515737ab788
13233308c3190c
14dd233a54996
156ed47d2476e
hex3aad1dafc98

4032200113304 has 64 divisors (see below), whose sum is σ = 8310451271040. Its totient is φ = 1818902511360.

The previous prime is 4032200113297. The next prime is 4032200113321. The reversal of 4032200113304 is 4033110022304.

It is a self number, because there is not a number n which added to its sum of digits gives 4032200113304.

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, 9591164 + ... + 10002740.

It is an arithmetic number, because the mean of its divisors is an integer number (129850801110).

Almost surely, 24032200113304 is an apocalyptic number.

4032200113304 is a gapful number since it is divisible by the number (44) 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 4032200113304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155225635520).

4032200113304 is an abundant number, since it is smaller than the sum of its proper divisors (4278251157736).

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

4032200113304 is a wasteful number, since it uses less digits than its factorization.

4032200113304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412440 (or 412436 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 4032200113304 its reverse (4033110022304), we get a palindrome (8065310135608).

The spelling of 4032200113304 in words is "four trillion, thirty-two billion, two hundred million, one hundred thirteen thousand, three hundred four".

Divisors: 1 2 4 8 11 22 44 88 163 326 652 683 1304 1366 1793 2732 3586 5464 7172 7513 14344 15026 30052 60104 111329 222658 411577 445316 823154 890632 1224619 1646308 2449238 3292616 4527347 4898476 9054694 9796952 18109388 36218776 67087051 134174102 268348204 281107091 536696408 562214182 737957561 1124428364 1475915122 2248856728 2951830244 3092178001 5903660488 6184356002 12368712004 24737424008 45820455833 91640911666 183281823332 366563646664 504025014163 1008050028326 2016100056652 4032200113304