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1141230240 = 25325792521
BaseRepresentation
bin100010000000101…
…1100101010100000
32221112102111120200
41010001130222200
54314123331430
6305124305200
740165203603
oct10401345240
92845374520
101141230240
11536216197
1227a242200
13152588487
14ab7d233a
156a2cc460
hex4405caa0

1141230240 has 72 divisors (see below), whose sum is σ = 3894453108. Its totient is φ = 304327680.

The previous prime is 1141230217. The next prime is 1141230283. The reversal of 1141230240 is 420321411.

1141230240 is a `hidden beast` number, since 11 + 412 + 3 + 0 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1120107024 + 21123216 = 33468^2 + 4596^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 394821 + ... + 397700.

Almost surely, 21141230240 is an apocalyptic number.

1141230240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141230240 is an abundant number, since it is smaller than the sum of its proper divisors (2753222868).

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

1141230240 is a wasteful number, since it uses less digits than its factorization.

1141230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792542 (or 792531 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1141230240 is about 33782.0994019022. The cubic root of 1141230240 is about 1045.0195703088.

Adding to 1141230240 its reverse (420321411), we get a palindrome (1561551651).

The spelling of 1141230240 in words is "one billion, one hundred forty-one million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 792521 1585042 2377563 3170084 3962605 4755126 6340168 7132689 7925210 9510252 11887815 12680336 14265378 15850420 19020504 23775630 25360672 28530756 31700840 35663445 38041008 47551260 57061512 63401680 71326890 76082016 95102520 114123024 126803360 142653780 190205040 228246048 285307560 380410080 570615120 1141230240