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14910124416 = 2731128312473
BaseRepresentation
bin11011110001011011…
…00111000110000000
31102111010000210120020
431320231213012000
5221013442440131
610503303413440
71035325652325
oct157055470600
942433023506
1014910124416
116361416180
122a81454280
13153803b935
14a1630ab4c
155c3eae996
hex378b67180

14910124416 has 128 divisors (see below), whose sum is σ = 43361619840. Its totient is φ = 4501893120.

The previous prime is 14910124403. The next prime is 14910124441. The reversal of 14910124416 is 61442101941.

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 (33).

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, 1189156 + ... + 1201628.

It is an arithmetic number, because the mean of its divisors is an integer number (338762655).

Almost surely, 214910124416 is an apocalyptic number.

14910124416 is a gapful number since it is divisible by the number (16) 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 14910124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21680809920).

14910124416 is an abundant number, since it is smaller than the sum of its proper divisors (28451495424).

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

14910124416 is a wasteful number, since it uses less digits than its factorization.

14910124416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12784 (or 12772 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 14910124416 in words is "fourteen billion, nine hundred ten million, one hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 283 352 384 528 566 704 849 1056 1132 1408 1698 2112 2264 3113 3396 4224 4528 6226 6792 9056 9339 12452 12473 13584 18112 18678 24904 24946 27168 36224 37356 37419 49808 49892 54336 74712 74838 99616 99784 108672 137203 149424 149676 199232 199568 274406 298848 299352 398464 399136 411609 548812 597696 598704 798272 823218 1097624 1195392 1197408 1596544 1646436 2195248 2394816 3292872 3529859 4390496 4789632 6585744 7059718 8780992 10589577 13171488 14119436 17561984 21179154 26342976 28238872 38828449 42358308 52685952 56477744 77656898 84716616 112955488 116485347 155313796 169433232 225910976 232970694 310627592 338866464 451821952 465941388 621255184 677732928 931882776 1242510368 1355465856 1863765552 2485020736 3727531104 4970041472 7455062208 14910124416