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13410045200 = 245243976367
BaseRepresentation
bin11000111110100110…
…10000110100010000
31021121120100212201202
430133103100310100
5204430432421300
610054355450332
7653212334456
oct143723206420
937546325652
1013410045200
115761691492
122722bb69a8
13135931c5b6
14912dc69d6
1553744bad5
hex31f4d0d10

13410045200 has 60 divisors (see below), whose sum is σ = 32291445120. Its totient is φ = 5351729280.

The previous prime is 13410045197. The next prime is 13410045211. The reversal of 13410045200 is 254001431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137417 + ... + 213783.

It is an arithmetic number, because the mean of its divisors is an integer number (538190752).

Almost surely, 213410045200 is an apocalyptic number.

13410045200 is a gapful number since it is divisible by the number (10) 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 13410045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16145722560).

13410045200 is an abundant number, since it is smaller than the sum of its proper divisors (18881399920).

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

13410045200 is a wasteful number, since it uses less digits than its factorization.

13410045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76824 (or 76813 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 13410045200 its reverse (254001431), we get a palindrome (13664046631).

The spelling of 13410045200 in words is "thirteen billion, four hundred ten million, forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 439 878 1756 2195 3512 4390 7024 8780 10975 17560 21950 35120 43900 76367 87800 152734 175600 305468 381835 610936 763670 1221872 1527340 1909175 3054680 3818350 6109360 7636700 15273400 30546800 33525113 67050226 134100452 167625565 268200904 335251130 536401808 670502260 838127825 1341004520 1676255650 2682009040 3352511300 6705022600 13410045200