Search a number
-
+
14495196816 = 24327921272
BaseRepresentation
bin11010111111111101…
…10010011010010000
31101102012021021220100
431133332302122100
5214141232244231
610354202212400
71022130066012
oct153776623220
941365237810
1014495196816
116169184a01
1229864b4100
1314a00a1949
149b717c1b2
1559c84d1e6
hex35ffb2690

14495196816 has 135 divisors (see below), whose sum is σ = 41412480291. Its totient is φ = 4733007552.

The previous prime is 14495196809. The next prime is 14495196847. The reversal of 14495196816 is 61869159441.

The square root of 14495196816 is 120396.

It is a perfect power (a square), and thus also a powerful number.

14495196816 is a `hidden beast` number, since 1 + 4 + 49 + 519 + 6 + 81 + 6 = 666.

It is a super-2 number, since 2×144951968162 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 114135345 + ... + 114135471.

Almost surely, 214495196816 is an apocalyptic number.

14495196816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14495196816 is the 120396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14495196816

14495196816 is an abundant number, since it is smaller than the sum of its proper divisors (26917283475).

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

14495196816 is an equidigital number, since it uses as much as digits as its factorization.

14495196816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 211 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 14495196816 in words is "fourteen billion, four hundred ninety-five million, one hundred ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 127 144 158 237 254 316 381 474 508 632 711 762 948 1016 1143 1264 1422 1524 1896 2032 2286 2844 3048 3792 4572 5688 6096 6241 9144 10033 11376 12482 16129 18288 18723 20066 24964 30099 32258 37446 40132 48387 49928 56169 60198 64516 74892 80264 90297 96774 99856 112338 120396 129032 145161 149784 160528 180594 193548 224676 240792 258064 290322 299568 361188 387096 449352 481584 580644 722376 774192 792607 898704 1161288 1274191 1444752 1585214 2322576 2377821 2548382 3170428 3822573 4755642 5096764 6340856 7133463 7645146 9511284 10193528 11467719 12681712 14266926 15290292 19022568 20387056 22935438 28533852 30580584 38045136 45870876 57067704 61161168 91741752 100661089 114135408 183483504 201322178 301983267 402644356 603966534 805288712 905949801 1207933068 1610577424 1811899602 2415866136 3623799204 4831732272 7247598408 14495196816