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11140113024 = 273273132469
BaseRepresentation
bin10100110000000000…
…01010001010000000
31001202101002101011200
422120000022022000
5140303332104044
65041231141200
7543030253425
oct123000121200
931671071150
1011140113024
1147a7337887
1221aa974800
131086c74271
14779743d4c
15453019369
hex29800a280

11140113024 has 96 divisors (see below), whose sum is σ = 32496215700. Its totient is φ = 3662475264.

The previous prime is 11140113013. The next prime is 11140113029. The reversal of 11140113024 is 42031104111.

11140113024 is a `hidden beast` number, since 111 + 401 + 130 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11115906624 + 24206400 = 105432^2 + 4920^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 11140112988 and 11140113006.

It is not an unprimeable number, because it can be changed into a prime (11140113029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17862 + ... + 150330.

Almost surely, 211140113024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11140113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248107850).

11140113024 is an abundant number, since it is smaller than the sum of its proper divisors (21356102676).

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

11140113024 is a wasteful number, since it uses less digits than its factorization.

11140113024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132562 (or 132547 counting only the distinct ones).

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

Adding to 11140113024 its reverse (42031104111), we get a palindrome (53171217135).

The spelling of 11140113024 in words is "eleven billion, one hundred forty million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 288 292 384 438 576 584 657 876 1152 1168 1314 1752 2336 2628 3504 4672 5256 7008 9344 10512 14016 21024 28032 42048 84096 132469 264938 397407 529876 794814 1059752 1192221 1589628 2119504 2384442 3179256 4239008 4768884 6358512 8478016 9537768 9670237 12717024 16956032 19075536 19340474 25434048 29010711 38151072 38680948 50868096 58021422 76302144 77361896 87032133 116042844 152604288 154723792 174064266 232085688 309447584 348128532 464171376 618895168 696257064 928342752 1237790336 1392514128 1856685504 2785028256 3713371008 5570056512 11140113024