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1141412382 = 2321143791697
BaseRepresentation
bin100010000001000…
…1001001000011110
32221112202202102200
41010002021020132
54314200144012
6305132232330
740166562615
oct10402111036
92845682380
101141412382
11536330020
1227a30b6a6
13152620356
14ab83c87c
156a3163dc
hex4408921e

1141412382 has 96 divisors (see below), whose sum is σ = 2797217280. Its totient is φ = 333365760.

The previous prime is 1141412381. The next prime is 1141412423. The reversal of 1141412382 is 2832141411.

1141412382 is a `hidden beast` number, since 11 + 414 + 1 + 238 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141412381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 671758 + ... + 673454.

It is an arithmetic number, because the mean of its divisors is an integer number (29137680).

Almost surely, 21141412382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141412382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398608640).

1141412382 is an abundant number, since it is smaller than the sum of its proper divisors (1655804898).

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

1141412382 is a wasteful number, since it uses less digits than its factorization.

1141412382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1835 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 1141412382 is about 33784.7951303541. The cubic root of 1141412382 is about 1045.0751628972.

Adding to 1141412382 its reverse (2832141411), we get a palindrome (3973553793).

The spelling of 1141412382 in words is "one billion, one hundred forty-one million, four hundred twelve thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 79 86 99 129 158 198 237 258 387 473 474 711 774 869 946 1419 1422 1697 1738 2607 2838 3394 3397 4257 5091 5214 6794 7821 8514 10182 10191 15273 15642 18667 20382 30546 30573 37334 37367 56001 61146 72971 74734 112002 112101 134063 145942 168003 218913 224202 268126 336006 336303 402189 437826 656739 672606 802681 804378 1206567 1313478 1474693 1605362 2408043 2413134 2949386 4424079 4816086 5764709 7224129 8848158 11529418 13272237 14448258 17294127 26544474 34588254 51882381 63411799 103764762 126823598 190235397 380470794 570706191 1141412382