Search a number
-
+
1215214450560 = 273251148739383
BaseRepresentation
bin10001101011110000011…
…011001111011110000000
311022011200101101021112100
4101223300123033132000
5124402224344404220
62330132315030400
7153540101253525
oct21536033173600
94264611337470
101215214450560
11429407970a80
12177624a3b400
138a7956aa586
1442b6101314c
1521925760d90
hex11af06cf780

1215214450560 has 384 divisors, whose sum is σ = 4587284482560. Its totient is φ = 293985054720.

The previous prime is 1215214450519. The next prime is 1215214450591. The reversal of 1215214450560 is 650544125121.

1215214450560 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 2 + 1 + 44 + 50 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 30836629 + ... + 30876011.

It is an arithmetic number, because the mean of its divisors is an integer number (11946053340).

Almost surely, 21215214450560 is an apocalyptic number.

1215214450560 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 1215214450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293642241280).

1215214450560 is an abundant number, since it is smaller than the sum of its proper divisors (3372070032000).

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

1215214450560 is a wasteful number, since it uses less digits than its factorization.

1215214450560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39906 (or 39891 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 1215214450560 its reverse (650544125121), we get a palindrome (1865758575681).

The spelling of 1215214450560 in words is "one trillion, two hundred fifteen billion, two hundred fourteen million, four hundred fifty thousand, five hundred sixty".