Search a number
-
+
14369722848 = 25321347127643
BaseRepresentation
bin11010110001000000…
…01001000111100000
31101002110011112222100
431120200021013200
5213412122112343
610333521010400
71016044425465
oct153040110740
941073145870
1014369722848
116104374508
122950483a00
1314800ac2b0
149a463966c
155918159d3
hex3588091e0

14369722848 has 288 divisors, whose sum is σ = 45367934976. Its totient is φ = 4286628864.

The previous prime is 14369722831. The next prime is 14369722877. The reversal of 14369722848 is 84822796341.

14369722848 is a `hidden beast` number, since 14 + 369 + 7 + 228 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×143697228482 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14369722794 and 14369722803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22347615 + ... + 22348257.

It is an arithmetic number, because the mean of its divisors is an integer number (157527552).

Almost surely, 214369722848 is an apocalyptic number.

14369722848 is a gapful number since it is divisible by the number (18) 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 14369722848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22683967488).

14369722848 is an abundant number, since it is smaller than the sum of its proper divisors (30998212128).

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

14369722848 is a wasteful number, since it uses less digits than its factorization.

14369722848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 835 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 14369722848 in words is "fourteen billion, three hundred sixty-nine million, seven hundred twenty-two thousand, eight hundred forty-eight".