Search a number
-
+
16144864128 = 273214014639
BaseRepresentation
bin11110000100100111…
…10001001110000000
31112200011102002000200
433002103301032000
5231031041123003
611230012245200
71111041036501
oct170223611600
945604362020
1016144864128
11693539a418
123166a70800
1316a3aa7553
14ad22c0ba8
156475ad6a3
hex3c24f1380

16144864128 has 48 divisors (see below), whose sum is σ = 46458531600. Its totient is φ = 5381620992.

The previous prime is 16144864121. The next prime is 16144864189. The reversal of 16144864128 is 82146844161.

16144864128 is a `hidden beast` number, since 1 + 614 + 4 + 8 + 6 + 4 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16144864121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7006168 + ... + 7008471.

It is an arithmetic number, because the mean of its divisors is an integer number (967886075).

Almost surely, 216144864128 is an apocalyptic number.

16144864128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16144864128 is an abundant number, since it is smaller than the sum of its proper divisors (30313667472).

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

16144864128 is a wasteful number, since it uses less digits than its factorization.

16144864128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14014659 (or 14014644 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 16144864128 in words is "sixteen billion, one hundred forty-four million, eight hundred sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 14014639 28029278 42043917 56058556 84087834 112117112 126131751 168175668 224234224 252263502 336351336 448468448 504527004 672702672 896936896 1009054008 1345405344 1793873792 2018108016 2690810688 4036216032 5381621376 8072432064 16144864128