Search a number
-
+
14321242091520 = 21236571383127
BaseRepresentation
bin1101000001100110110010…
…0011000011000000000000
31212201002121222121001000000
43100121230203003000000
53334114400433412040
650243030544000000
73005450505154050
oct320315443030000
955632558531000
1014321242091520
114621671896721
121733677000000
137cb64489b480
1437721a821560
1519c7dd3ca130
hexd066c8c3000

14321242091520 has 2912 divisors, whose sum is σ = 64686792425472. Its totient is φ = 2961713922048.

The previous prime is 14321242091503. The next prime is 14321242091551. The reversal of 14321242091520 is 2519024212341.

14321242091520 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 1 + 2 + 42 + 0 + 91 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2912).

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 112765685697 + ... + 112765685823.

Almost surely, 214321242091520 is an apocalyptic number.

14321242091520 is a gapful number since it is divisible by the number (10) 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 14321242091520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32343396212736).

14321242091520 is an abundant number, since it is smaller than the sum of its proper divisors (50365550333952).

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

14321242091520 is an equidigital number, since it uses as much as digits as its factorization.

14321242091520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 14321242091520 in words is "fourteen trillion, three hundred twenty-one billion, two hundred forty-two million, ninety-one thousand, five hundred twenty".