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2014410112 = 271113167659
BaseRepresentation
bin111100000010001…
…0111010110000000
312012101110122011221
41320010113112000
513111142110422
6531515444424
7100630126531
oct17004272600
95171418157
102014410112
1194409a150
12482756714
13261451360
1415176a688
15bbcac3c7
hex78117580

2014410112 has 128 divisors (see below), whose sum is σ = 4750099200. Its totient is φ = 838871040.

The previous prime is 2014410109. The next prime is 2014410169. The reversal of 2014410112 is 2110144102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3056439 + ... + 3057097.

It is an arithmetic number, because the mean of its divisors is an integer number (37110150).

Almost surely, 22014410112 is an apocalyptic number.

2014410112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375049600).

2014410112 is an abundant number, since it is smaller than the sum of its proper divisors (2735689088).

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

2014410112 is a wasteful number, since it uses less digits than its factorization.

2014410112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2014410112 is about 44882.1803391948. The cubic root of 2014410112 is about 1262.9397454113.

Adding to 2014410112 its reverse (2110144102), we get a palindrome (4124554214).

The spelling of 2014410112 in words is "two billion, fourteen million, four hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 167 176 208 286 334 352 416 572 659 668 704 832 1144 1318 1336 1408 1664 1837 2171 2288 2636 2672 3674 4342 4576 5272 5344 7249 7348 8567 8684 9152 10544 10688 14498 14696 17134 17368 18304 21088 21376 23881 28996 29392 34268 34736 42176 47762 57992 58784 68536 69472 84352 94237 95524 110053 115984 117568 137072 138944 188474 191048 220106 231968 235136 274144 277888 376948 382096 440212 463936 548288 753896 764192 880424 927872 1096576 1210583 1430689 1507792 1528384 1760848 2421166 2861378 3015584 3056768 3521696 4842332 5722756 6031168 7043392 9684664 11445512 12062336 14086784 15737579 19369328 22891024 31475158 38738656 45782048 62950316 77477312 91564096 125900632 154954624 183128192 251801264 503602528 1007205056 2014410112