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1141213140 = 2232510162773
BaseRepresentation
bin100010000000101…
…1000011111010100
32221112101122010100
41010001120133110
54314122310030
6305124054100
740165103004
oct10401303724
92845348110
101141213140
11536204361
1227a234330
13152580762
14ab7ca004
156a2c7360
hex440587d4

1141213140 has 72 divisors (see below), whose sum is σ = 3496009608. Its totient is φ = 301305600.

The previous prime is 1141213109. The next prime is 1141213141. The reversal of 1141213140 is 413121411.

It can be written as a sum of positive squares in 4 ways, for example, as 631717956 + 509495184 = 25134^2 + 22572^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141213141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13207 + ... + 49566.

It is an arithmetic number, because the mean of its divisors is an integer number (48555689).

Almost surely, 21141213140 is an apocalyptic number.

1141213140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141213140 is an abundant number, since it is smaller than the sum of its proper divisors (2354796468).

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

1141213140 is a wasteful number, since it uses less digits than its factorization.

1141213140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62889 (or 62884 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1141213140 is about 33781.8463083355. The cubic root of 1141213140 is about 1045.0143508175.

Adding to 1141213140 its reverse (413121411), we get a palindrome (1554334551).

The spelling of 1141213140 in words is "one billion, one hundred forty-one million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 62773 125546 188319 251092 313865 376638 564957 627730 753276 941595 1129914 1255460 1883190 2259828 2824785 3766380 5649570 6340073 11299140 12680146 19020219 25360292 31700365 38040438 57060657 63400730 76080876 95101095 114121314 126801460 190202190 228242628 285303285 380404380 570606570 1141213140