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1114213968 = 24347122819
BaseRepresentation
bin100001001101001…
…1000111001010000
32212122120221020000
41002122120321100
54240214321333
6302321250000
736416443140
oct10232307120
92778527200
101114213968
11521a4349a
12271193900
13149ab960a
14a7d9c920
1567c42713
hex42698e50

1114213968 has 100 divisors (see below), whose sum is σ = 3685582560. Its totient is φ = 318344256.

The previous prime is 1114213963. The next prime is 1114213987. The reversal of 1114213968 is 8693124111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114213963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52338 + ... + 70481.

Almost surely, 21114213968 is an apocalyptic number.

1114213968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1114213968 is an abundant number, since it is smaller than the sum of its proper divisors (2571368592).

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

1114213968 is a wasteful number, since it uses less digits than its factorization.

1114213968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122846 (or 122831 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1114213968 is about 33379.8437384000. The cubic root of 1114213968 is about 1036.7074023527.

The spelling of 1114213968 in words is "one billion, one hundred fourteen million, two hundred thirteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 122819 245638 368457 491276 736914 859733 982552 1105371 1473828 1719466 1965104 2210742 2579199 2947656 3316113 3438932 4421484 5158398 5895312 6632226 6877864 7737597 8842968 9948339 10316796 13264452 13755728 15475194 17685936 19896678 20633592 23212791 26528904 30950388 39793356 41267184 46425582 53057808 61900776 69638373 79586712 92851164 123801552 139276746 159173424 185702328 278553492 371404656 557106984 1114213968