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14100948036 = 223271372631553
BaseRepresentation
bin11010010000111101…
…10110010001000100
31100101201102101020200
431020132312101010
5212334320314121
610251120130500
71006302036450
oct151036662104
940351371220
1014100948036
115a86687a6a
122896466a30
1314394c5046
1497aa73660
15577e23a26
hex3487b6444

14100948036 has 144 divisors (see below), whose sum is σ = 41215958784. Its totient is φ = 3981662208.

The previous prime is 14100948007. The next prime is 14100948053. The reversal of 14100948036 is 63084900141.

14100948036 is a `hidden beast` number, since 141 + 0 + 0 + 9 + 480 + 36 = 666.

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

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, 9079036 + ... + 9080588.

It is an arithmetic number, because the mean of its divisors is an integer number (286221936).

Almost surely, 214100948036 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 14100948036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20607979392).

14100948036 is an abundant number, since it is smaller than the sum of its proper divisors (27115010748).

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

14100948036 is a wasteful number, since it uses less digits than its factorization.

14100948036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 14100948036 in words is "fourteen billion, one hundred million, nine hundred forty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 252 263 274 411 526 548 789 822 959 1052 1233 1553 1578 1644 1841 1918 2367 2466 2877 3106 3156 3682 3836 4659 4734 4932 5523 5754 6212 7364 8631 9318 9468 10871 11046 11508 13977 16569 17262 18636 21742 22092 27954 32613 33138 34524 36031 43484 55908 65226 66276 72062 97839 108093 130452 144124 195678 212761 216186 252217 324279 391356 408439 425522 432372 504434 638283 648558 756651 816878 851044 1008868 1225317 1276566 1297116 1489327 1513302 1633756 1914849 2269953 2450634 2553132 2859073 2978654 3026604 3675951 3829698 4467981 4539906 4901268 5718146 5957308 7351902 7659396 8577219 8935962 9079812 11436292 13403943 14703804 17154438 17871924 25731657 26807886 34308876 51463314 53615772 55956143 102926628 111912286 167868429 223824572 335736858 391693001 503605287 671473716 783386002 1007210574 1175079003 1566772004 2014421148 2350158006 3525237009 4700316012 7050474018 14100948036