Search a number
-
+
1142055541230 = 235311518132561
BaseRepresentation
bin10000100111100111110…
…100001001100111101110
311001011211210222121200220
4100213213310021213232
5122202412204304410
62232353021432210
7145340125633632
oct20474764114756
94034753877626
101142055541230
1140038564163a
1216540810b666
1383906980506
143d3c0a6adc2
151ea92b6c070
hex109e7d099ee

1142055541230 has 64 divisors (see below), whose sum is σ = 2848088272896. Its totient is φ = 292772160000.

The previous prime is 1142055541229. The next prime is 1142055541247. The reversal of 1142055541230 is 321455502411.

It is a junction number, because it is equal to n+sod(n) for n = 1142055541191 and 1142055541200.

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, 3925851 + ... + 4206710.

It is an arithmetic number, because the mean of its divisors is an integer number (44501379264).

Almost surely, 21142055541230 is an apocalyptic number.

1142055541230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1142055541230 is an abundant number, since it is smaller than the sum of its proper divisors (1706032731666).

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

1142055541230 is a wasteful number, since it uses less digits than its factorization.

1142055541230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8132753.

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 1142055541230 in words is "one trillion, one hundred forty-two billion, fifty-five million, five hundred forty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 151 155 186 302 310 453 465 755 906 930 1510 2265 4530 4681 9362 14043 23405 28086 46810 70215 140430 8132561 16265122 24397683 40662805 48795366 81325610 121988415 243976830 252109391 504218782 756328173 1228016711 1260546955 1512656346 2456033422 2521093910 3684050133 3781640865 6140083555 7368100266 7563281730 12280167110 18420250665 36840501330 38068518041 76137036082 114205554123 190342590205 228411108246 380685180410 571027770615 1142055541230