Search a number
-
+
1130451014000 = 24537117340591
BaseRepresentation
bin10000011100110100001…
…000011001000101110000
311000001220002000120000002
4100130310020121011300
5122010130424422000
62223153320245132
7144446426035010
oct20346410310560
94001802016002
101130451014000
113a6470143570
121631099107a8
13827a7733759
143c9dd795c40
151e613eb88d5
hex10734219170

1130451014000 has 160 divisors (see below), whose sum is σ = 3407913879552. Its totient is φ = 352348320000.

The previous prime is 1130451013987. The next prime is 1130451014009. The reversal of 1130451014000 is 4101540311.

It is a happy number.

It is a super-3 number, since 3×11304510140003 (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130451014009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3516296 + ... + 3824295.

Almost surely, 21130451014000 is an apocalyptic number.

1130451014000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130451014000 is an abundant number, since it is smaller than the sum of its proper divisors (2277462865552).

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

1130451014000 is a wasteful number, since it uses less digits than its factorization.

1130451014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7340632 (or 7340616 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 1130451014000 its reverse (4101540311), we get a palindrome (1134552554311).

The spelling of 1130451014000 in words is "one trillion, one hundred thirty billion, four hundred fifty-one million, fourteen thousand".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 125 140 154 175 176 200 220 250 275 280 308 350 385 400 440 500 550 560 616 700 770 875 880 1000 1100 1232 1375 1400 1540 1750 1925 2000 2200 2750 2800 3080 3500 3850 4400 5500 6160 7000 7700 9625 11000 14000 15400 19250 22000 30800 38500 77000 154000 7340591 14681182 29362364 36702955 51384137 58724728 73405910 80746501 102768274 117449456 146811820 161493002 183514775 205536548 256920685 293623640 322986004 367029550 403732505 411073096 513841370 565225507 587247280 645972008 734059100 807465010 822146192 917573875 1027682740 1130451014 1284603425 1291944016 1468118200 1614930020 1835147750 2018662525 2055365480 2260902028 2569206850 2826127535 2936236400 3229860040 3670295500 4037325050 4110730960 4521804056 5138413700 5652255070 6423017125 6459720080 7340591000 8074650100 9043608112 10093312625 10276827400 11304510140 12846034250 14130637675 14681182000 16149300200 20186625250 20553654800 22609020280 25692068500 28261275350 32298600400 40373250500 45218040560 51384137000 56522550700 70653188375 80746501000 102768274000 113045101400 141306376750 161493002000 226090202800 282612753500 565225507000 1130451014000