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1114165312 = 261317372129
BaseRepresentation
bin100001001101000…
…1101000001000000
32212122111110110221
41002122031001000
54240211242222
6302320232424
736416151241
oct10232150100
92778443427
101114165312
11521a0a987
1227116b714
13149aa0420
14a7d88cc8
1567c330c7
hex4268d040

1114165312 has 112 divisors (see below), whose sum is σ = 2590403760. Its totient is φ = 470679552.

The previous prime is 1114165309. The next prime is 1114165313. The reversal of 1114165312 is 2135614111.

It can be written as a sum of positive squares in 8 ways, for example, as 2876416 + 1111288896 = 1696^2 + 33336^2 .

It is not an unprimeable number, because it can be changed into a prime (1114165313) 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, 522264 + ... + 524392.

It is an arithmetic number, because the mean of its divisors is an integer number (23128605).

Almost surely, 21114165312 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 1114165312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295201880).

1114165312 is an abundant number, since it is smaller than the sum of its proper divisors (1476238448).

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

1114165312 is a wasteful number, since it uses less digits than its factorization.

1114165312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2198 counting only the distinct ones).

The product of its digits is 720, while the sum is 25.

The square root of 1114165312 is about 33379.1149073788. The cubic root of 1114165312 is about 1036.6923116636.

Adding to 1114165312 its reverse (2135614111), we get a palindrome (3249779423).

The spelling of 1114165312 in words is "one billion, one hundred fourteen million, one hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 37 52 64 68 74 104 136 148 208 221 272 296 416 442 481 544 592 629 832 884 962 1088 1184 1258 1768 1924 2129 2368 2516 3536 3848 4258 5032 7072 7696 8177 8516 10064 14144 15392 16354 17032 20128 27677 30784 32708 34064 36193 40256 55354 65416 68128 72386 78773 110708 130832 136256 144772 157546 221416 261664 289544 315092 442832 470509 523328 579088 630184 885664 941018 1024049 1158176 1260368 1339141 1771328 1882036 2048098 2316352 2520736 2678282 3764072 4096196 5041472 5356564 7528144 8192392 10713128 15056288 16384784 17408833 21426256 30112576 32769568 34817666 42852512 65539136 69635332 85705024 139270664 278541328 557082656 1114165312