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14362016032 = 2572131674219
BaseRepresentation
bin11010110000000101…
…01111100100100000
31101001220200000012201
431120002233210200
5213403134003112
610333043502544
71015622056600
oct153002574440
941056600181
1014362016032
1160aaa90241
122949987a54
13147b611450
149a35d0c00
15590ce2257
hex3580af920

14362016032 has 144 divisors (see below), whose sum is σ = 35642255040. Its totient is φ = 5646316032.

The previous prime is 14362016029. The next prime is 14362016051. The reversal of 14362016032 is 23061026341.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3402019 + ... + 3406237.

It is an arithmetic number, because the mean of its divisors is an integer number (247515660).

Almost surely, 214362016032 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 14362016032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821127520).

14362016032 is an abundant number, since it is smaller than the sum of its proper divisors (21280239008).

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

14362016032 is a wasteful number, since it uses less digits than its factorization.

14362016032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4423 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 14362016032 in words is "fourteen billion, three hundred sixty-two million, sixteen thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 167 182 196 208 224 334 364 392 416 637 668 728 784 1169 1274 1336 1456 1568 2171 2338 2548 2672 2912 4219 4342 4676 5096 5344 8183 8438 8684 9352 10192 15197 16366 16876 17368 18704 20384 29533 30394 32732 33752 34736 37408 54847 59066 60788 65464 67504 69472 106379 109694 118132 121576 130928 135008 206731 212758 219388 236264 243152 261856 383929 413462 425516 438776 472528 486304 704573 767858 826924 851032 877552 945056 1409146 1535716 1653848 1702064 1755104 2687503 2818292 3071432 3307696 3404128 4932011 5375006 5636584 6142864 6615392 9159449 9864022 10750012 11273168 12285728 18318898 19728044 21500024 22546336 34524077 36637796 39456088 43000048 64116143 69048154 73275592 78912176 86000096 128232286 138096308 146551184 157824352 256464572 276192616 293102368 448813001 512929144 552385232 897626002 1025858288 1104770464 1795252004 2051716576 3590504008 7181008016 14362016032