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1141240410 = 2325101223563
BaseRepresentation
bin100010000000101…
…1111001001011010
32221112110000112100
41010001133021122
54314124143120
6305124424230
740165245342
oct10401371132
92845400470
101141240410
115362228a2
1227a248076
1315258ccab
14ab7d5d22
156a2d0490
hex4405f25a

1141240410 has 96 divisors (see below), whose sum is σ = 3015387648. Its totient is φ = 299433600.

The previous prime is 1141240403. The next prime is 1141240433. The reversal of 1141240410 is 140421411.

1141240410 is a `hidden beast` number, since 1 + 14 + 1 + 240 + 410 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2026789 + ... + 2027351.

It is an arithmetic number, because the mean of its divisors is an integer number (31410288).

Almost surely, 21141240410 is an apocalyptic number.

1141240410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141240410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507693824).

1141240410 is an abundant number, since it is smaller than the sum of its proper divisors (1874147238).

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

1141240410 is a wasteful number, since it uses less digits than its factorization.

1141240410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1141240410 is about 33782.2499250716. The cubic root of 1141240410 is about 1045.0226745078.

Adding to 1141240410 its reverse (140421411), we get a palindrome (1281661821).

The spelling of 1141240410 in words is "one billion, one hundred forty-one million, two hundred forty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 223 303 446 505 563 606 669 909 1010 1115 1126 1338 1515 1689 1818 2007 2230 2815 3030 3345 3378 4014 4545 5067 5630 6690 8445 9090 10035 10134 16890 20070 22523 25335 45046 50670 56863 67569 112615 113726 125549 135138 170589 202707 225230 251098 284315 337845 341178 376647 405414 511767 568630 627745 675690 753294 852945 1013535 1023534 1129941 1255490 1705890 1883235 2027070 2259882 2558835 3766470 5117670 5649705 11299410 12680449 25360898 38041347 63402245 76082694 114124041 126804490 190206735 228248082 380413470 570620205 1141240410