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1141323264 = 293382561
BaseRepresentation
bin100010000000111…
…0011011000000000
32221112121020012000
41010001303120000
54314134321024
6305130304000
740166042034
oct10401633000
92845536160
101141323264
1153627a074
1227a288000
131525bb913
14ab8181c4
156a2e9cc9
hex44073600

1141323264 has 80 divisors (see below), whose sum is σ = 3378437040. Its totient is φ = 380436480.

The previous prime is 1141323259. The next prime is 1141323269. The reversal of 1141323264 is 4623231411.

It is a happy number.

1141323264 is a `hidden beast` number, since 11 + 413 + 232 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1141323259) and next prime (1141323269).

It is a super-2 number, since 2×11413232642 = 2605237585895227392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141323269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27457 + ... + 55104.

It is an arithmetic number, because the mean of its divisors is an integer number (42230463).

Almost surely, 21141323264 is an apocalyptic number.

It is an amenable number.

1141323264 is an abundant number, since it is smaller than the sum of its proper divisors (2237113776).

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

1141323264 is an frugal number, since it uses more digits than its factorization.

1141323264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82588 (or 82566 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 1141323264 is about 33783.4761976917. The cubic root of 1141323264 is about 1045.0479634281.

Adding to 1141323264 its reverse (4623231411), we get a palindrome (5764554675).

The spelling of 1141323264 in words is "one billion, one hundred forty-one million, three hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 82561 165122 247683 330244 495366 660488 743049 990732 1320976 1486098 1981464 2229147 2641952 2972196 3962928 4458294 5283904 5944392 7925856 8916588 10567808 11888784 15851712 17833176 21135616 23777568 31703424 35666352 42271232 47555136 63406848 71332704 95110272 126813696 142665408 190220544 285330816 380441088 570661632 1141323264