Search a number
-
+
1143310242000 = 243531109171823
BaseRepresentation
bin10000101000110010100…
…110011101000011010000
311001022002020221000120210
4100220302212131003100
5122212444410221000
62233121322204120
7145413202465443
oct20506246350320
94038066830523
101143310242000
11400969909923
121656b8353640
1383a768b78c4
143d49d55965a
151eb17db0350
hex10a3299d0d0

1143310242000 has 160 divisors (see below), whose sum is σ = 3689377436160. Its totient is φ = 304606041600.

The previous prime is 1143310241891. The next prime is 1143310242023. The reversal of 1143310242000 is 2420133411.

It is a congruent 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, 6568089 + ... + 6739911.

It is an arithmetic number, because the mean of its divisors is an integer number (23058608976).

Almost surely, 21143310242000 is an apocalyptic number.

1143310242000 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 1143310242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844688718080).

1143310242000 is an abundant number, since it is smaller than the sum of its proper divisors (2546067194160).

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

1143310242000 is a wasteful number, since it uses less digits than its factorization.

1143310242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172958 (or 172942 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1143310242000 its reverse (2420133411), we get a palindrome (1145730375411).

The spelling of 1143310242000 in words is "one trillion, one hundred forty-three billion, three hundred ten million, two hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1109 1200 1500 2000 2218 3000 3327 4436 5545 6000 6654 8872 11090 13308 16635 17744 22180 26616 27725 33270 44360 53232 55450 66540 83175 88720 110900 133080 138625 166350 171823 221800 266160 277250 332700 343646 415875 443600 515469 554500 665400 687292 831750 859115 1030938 1109000 1330800 1374584 1663500 1718230 2061876 2218000 2577345 2749168 3327000 3436460 4123752 4295575 5154690 6654000 6872920 8247504 8591150 10309380 12886725 13745840 17182300 20618760 21477875 25773450 34364600 41237520 42955750 51546900 64433625 68729200 85911500 103093800 128867250 171823000 190551707 206187600 257734500 343646000 381103414 515469000 571655121 762206828 952758535 1030938000 1143310242 1524413656 1905517070 2286620484 2858275605 3048827312 3811034140 4573240968 4763792675 5716551210 7622068280 9146481936 9527585350 11433102420 14291378025 15244136560 19055170700 22866204840 23818963375 28582756050 38110341400 45732409680 47637926750 57165512100 71456890125 76220682800 95275853500 114331024200 142913780250 190551707000 228662048400 285827560500 381103414000 571655121000 1143310242000