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14008007412 = 223271719172097
BaseRepresentation
bin11010000101111000…
…10011101011110100
31100011020112111200100
431002330103223310
5212142022214122
610234000114100
71004063045520
oct150274235364
940136474610
1014008007412
115a39178333
12286b305930
1314231837a9
1496c59cd80
1556ebb5aac
hex342f13af4

14008007412 has 144 divisors (see below), whose sum is σ = 45103443840. Its totient is φ = 3568582656.

The previous prime is 14008007369. The next prime is 14008007437. The reversal of 14008007412 is 21470080041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4653 + ... + 167444.

It is an arithmetic number, because the mean of its divisors is an integer number (313218360).

Almost surely, 214008007412 is an apocalyptic number.

14008007412 is a gapful number since it is divisible by the number (12) 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 14008007412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22551721920).

14008007412 is an abundant number, since it is smaller than the sum of its proper divisors (31095436428).

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

14008007412 is a wasteful number, since it uses less digits than its factorization.

14008007412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172150 (or 172145 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 14008007412 its reverse (21470080041), we get a palindrome (35478087453).

The spelling of 14008007412 in words is "fourteen billion, eight million, seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 19 21 28 34 36 38 42 51 57 63 68 76 84 102 114 119 126 133 153 171 204 228 238 252 266 306 323 342 357 399 476 532 612 646 684 714 798 969 1071 1197 1292 1428 1596 1938 2142 2261 2394 2907 3876 4284 4522 4788 5814 6783 9044 11628 13566 20349 27132 40698 81396 172097 344194 516291 688388 1032582 1204679 1548873 2065164 2409358 2925649 3097746 3269843 3614037 4818716 5851298 6195492 6539686 7228074 8776947 9809529 10842111 11702596 13079372 14456148 17553894 19619058 20479543 21684222 22888901 26330841 29428587 35107788 39238116 40959086 43368444 45777802 52661682 55587331 58857174 61438629 68666703 81918172 91555604 105323364 111174662 117714348 122877258 137333406 166761993 184315887 206000109 222349324 245754516 274666812 333523986 368631774 389111317 412000218 500285979 667047972 737263548 778222634 824000436 1000571958 1167333951 1556445268 2001143916 2334667902 3502001853 4669335804 7004003706 14008007412