Search a number
-
+
1200344002240 = 265171471150001
BaseRepresentation
bin10001011101111010000…
…100111110111011000000
311020202022001000020100011
4101131322010332323000
5124131301031032430
62315232545434304
7152502433450015
oct21357204767300
94222261006304
101200344002240
11423076995069
1217477493b994
1389265950c26
14421500b370c
1521354edc22a
hex1177a13eec0

1200344002240 has 112 divisors (see below), whose sum is σ = 3028533179904. Its totient is φ = 451584000000.

The previous prime is 1200344002211. The next prime is 1200344002289. The reversal of 1200344002240 is 422004430021.

It is a happy number.

It is a super-2 number, since 2×12003440022402 (a number of 25 digits) contains 22 as substring.

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, 7927240 + ... + 8077240.

Almost surely, 21200344002240 is an apocalyptic number.

1200344002240 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 1200344002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514266589952).

1200344002240 is an abundant number, since it is smaller than the sum of its proper divisors (1828189177664).

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

1200344002240 is a wasteful number, since it uses less digits than its factorization.

1200344002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151506 (or 151496 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 1200344002240 its reverse (422004430021), we get a palindrome (1622348432261).

The spelling of 1200344002240 in words is "one trillion, two hundred billion, three hundred forty-four million, two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 1471 2720 2942 5440 5884 7355 11768 14710 23536 25007 29420 47072 50014 58840 94144 100028 117680 125035 150001 200056 235360 250070 300002 400112 470720 500140 600004 750005 800224 1000280 1200008 1500010 1600448 2000560 2400016 2550017 3000020 4001120 4800032 5100034 6000040 8002240 9600064 10200068 12000080 12750085 20400136 24000160 25500170 40800272 48000320 51000340 81600544 102000680 163201088 204001360 220651471 408002720 441302942 816005440 882605884 1103257355 1765211768 2206514710 3530423536 3751075007 4413029420 7060847072 7502150014 8826058840 14121694144 15004300028 17652117680 18755375035 30008600056 35304235360 37510750070 60017200112 70608470720 75021500140 120034400224 150043000280 240068800448 300086000560 600172001120 1200344002240