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1114142304 = 253116591601
BaseRepresentation
bin100001001101000…
…0111011001100000
32212122110021220210
41002122013121200
54240210023204
6302315534120
736416024202
oct10232073140
92778407823
101114142304
115219a4670
1227115a340
13149a92b02
14a7d80772
1567c2b389
hex42687660

1114142304 has 96 divisors (see below), whose sum is σ = 3197335680. Its totient is φ = 336896000.

The previous prime is 1114142303. The next prime is 1114142321. The reversal of 1114142304 is 4032414111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114142303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 695104 + ... + 696704.

It is an arithmetic number, because the mean of its divisors is an integer number (33305580).

Almost surely, 21114142304 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 1114142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598667840).

1114142304 is an abundant number, since it is smaller than the sum of its proper divisors (2083193376).

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

1114142304 is a wasteful number, since it uses less digits than its factorization.

1114142304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1114142304 is about 33378.7702589535. The cubic root of 1114142304 is about 1036.6851755649.

Adding to 1114142304 its reverse (4032414111), we get a palindrome (5146556415).

The spelling of 1114142304 in words is "one billion, one hundred fourteen million, one hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 659 1056 1318 1601 1977 2636 3202 3954 4803 5272 6404 7249 7908 9606 10544 12808 14498 15816 17611 19212 21088 21747 25616 28996 31632 35222 38424 43494 51232 52833 57992 63264 70444 76848 86988 105666 115984 140888 153696 173976 211332 231968 281776 347952 422664 563552 695904 845328 1055059 1690656 2110118 3165177 4220236 6330354 8440472 11605649 12660708 16880944 23211298 25321416 33761888 34816947 46422596 50642832 69633894 92845192 101285664 139267788 185690384 278535576 371380768 557071152 1114142304