Search a number
-
+
2131500736440 = 233354175763589
BaseRepresentation
bin11111000001000111010…
…110000001111110111000
321112202202221200101222000
4133001013112001332320
5234410303142031230
64311110430101000
7306665401215225
oct37010726017670
97482687611860
102131500736440
11751a67663469
122a512334a760
13125ccc32841a
14752453b094c
153a6a2983b60
hex1f047581fb8

2131500736440 has 256 divisors, whose sum is σ = 7288024464000. Its totient is φ = 553795522560.

The previous prime is 2131500736373. The next prime is 2131500736441. The reversal of 2131500736440 is 446370051312.

2131500736440 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 5 + 0 + 0 + 7 + 3 + 644 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2131500736395 and 2131500736404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131500736441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33488166 + ... + 33551754.

Almost surely, 22131500736440 is an apocalyptic number.

2131500736440 is a gapful number since it is divisible by the number (20) 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 2131500736440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644012232000).

2131500736440 is an abundant number, since it is smaller than the sum of its proper divisors (5156523727560).

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

2131500736440 is a wasteful number, since it uses less digits than its factorization.

2131500736440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64407 (or 64397 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 2131500736440 its reverse (446370051312), we get a palindrome (2577870787752).

The spelling of 2131500736440 in words is "two trillion, one hundred thirty-one billion, five hundred million, seven hundred thirty-six thousand, four hundred forty".