Search a number
-
+
21361344495400 = 235271317613111261
BaseRepresentation
bin1001101101101100100110…
…10110011011111100101000
32210122010100211022012121001
410312312103112123330220
510244441013142323100
6113233133255124344
74333210013221540
oct466662326337450
983563324265531
1021361344495400
116896328095608
12248bb7b0736b4
13bbc49b552060
1453bc74a80320
152709ce58cd6a
hex136d9359bf28

21361344495400 has 384 divisors, whose sum is σ = 64738278984960. Its totient is φ = 6361233408000.

The previous prime is 21361344495371. The next prime is 21361344495409. The reversal of 21361344495400 is 459444316312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21361344495409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1896925770 + ... + 1896937030.

It is an arithmetic number, because the mean of its divisors is an integer number (168589268190).

Almost surely, 221361344495400 is an apocalyptic number.

21361344495400 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 21361344495400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32369139492480).

21361344495400 is an abundant number, since it is smaller than the sum of its proper divisors (43376934489560).

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

21361344495400 is a wasteful number, since it uses less digits than its factorization.

21361344495400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17445 (or 17436 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 21361344495400 in words is "twenty-one trillion, three hundred sixty-one billion, three hundred forty-four million, four hundred ninety-five thousand, four hundred".