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14370883104 = 253413839533
BaseRepresentation
bin11010110001001001…
…00100011000100000
31101002112100111112210
431120210210120200
5213412421224404
610334001522120
71016060330244
oct153044443040
941075314483
1014370883104
116104a971a6
122950943340
1314803c7436
149a485c424
15591994689
hex358924620

14370883104 has 96 divisors (see below), whose sum is σ = 38748616704. Its totient is φ = 4660766720.

The previous prime is 14370882943. The next prime is 14370883129. The reversal of 14370883104 is 40138807341.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1502722 + ... + 1512254.

It is an arithmetic number, because the mean of its divisors is an integer number (403631424).

Almost surely, 214370883104 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 14370883104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19374308352).

14370883104 is an abundant number, since it is smaller than the sum of its proper divisors (24377733600).

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

14370883104 is a wasteful number, since it uses less digits than its factorization.

14370883104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9970 (or 9962 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 14370883104 in words is "fourteen billion, three hundred seventy million, eight hundred eighty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 383 492 656 766 984 1149 1312 1532 1968 2298 3064 3936 4596 6128 9192 9533 12256 15703 18384 19066 28599 31406 36768 38132 47109 57198 62812 76264 94218 114396 125624 152528 188436 228792 251248 305056 376872 390853 457584 502496 753744 781706 915168 1172559 1507488 1563412 2345118 3126824 3651139 4690236 6253648 7302278 9380472 10953417 12507296 14604556 18760944 21906834 29209112 37521888 43813668 58418224 87627336 116836448 149696699 175254672 299393398 350509344 449090097 598786796 898180194 1197573592 1796360388 2395147184 3592720776 4790294368 7185441552 14370883104