Search a number
-
+
214234311144024 = 23326594515138913
BaseRepresentation
bin110000101101100001010000…
…000000111011001001011000
31001002112121012111022102000100
4300231201100000323021120
5211040003332123102044
62035345514525335400
763060626641600143
oct6055412000731130
91032477174272010
10214234311144024
1162297296622506
1220040065407560
139270293b18a82
143ac8dd2da705a
1519b7ad5771869
hexc2d85003b258

214234311144024 has 48 divisors (see below), whose sum is σ = 581098378231800. Its totient is φ = 71303073698304.

The previous prime is 214234311144019. The next prime is 214234311144089. The reversal of 214234311144024 is 420441113432412.

214234311144024 is a `hidden beast` number, since 2 + 1 + 4 + 234 + 3 + 1 + 1 + 14 + 402 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 214234311144024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2257522009 + ... + 2257616904.

Almost surely, 2214234311144024 is an apocalyptic number.

214234311144024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214234311144024 is an abundant number, since it is smaller than the sum of its proper divisors (366864067087776).

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

214234311144024 is a wasteful number, since it uses less digits than its factorization.

214234311144024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4515139584 (or 4515139577 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 214234311144024 its reverse (420441113432412), we get a palindrome (634675424576436).

The spelling of 214234311144024 in words is "two hundred fourteen trillion, two hundred thirty-four billion, three hundred eleven million, one hundred forty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 659 1318 1977 2636 3954 5272 5931 7908 11862 15816 23724 47448 4515138913 9030277826 13545416739 18060555652 27090833478 36121111304 40636250217 54181666956 81272500434 108363333912 162545000868 325090001736 2975476543667 5950953087334 8926429631001 11901906174668 17852859262002 23803812349336 26779288893003 35705718524004 53558577786006 71411437048008 107117155572012 214234311144024