Search a number
-
+
1214147051520 = 21435132233141
BaseRepresentation
bin10001101010110000110…
…011011100000000000000
311022001220222212210022120
4101222300303130000000
5124343033121122040
62325434345004240
7153501460441134
oct21526063340000
94261828783276
101214147051520
11428a0a3a3307
12177387483680
138a655502700
1442a9d35d3c4
15218b1bb97d0
hex11ab0cdc000

1214147051520 has 1440 divisors, whose sum is σ = 4642046889984. Its totient is φ = 269903462400.

The previous prime is 1214147051459. The next prime is 1214147051521. The reversal of 1214147051520 is 251507414121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214147051521) 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, 29613342700 + ... + 29613342740.

Almost surely, 21214147051520 is an apocalyptic number.

1214147051520 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 1214147051520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321023444992).

1214147051520 is an abundant number, since it is smaller than the sum of its proper divisors (3427899838464).

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

1214147051520 is a wasteful number, since it uses less digits than its factorization.

1214147051520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The spelling of 1214147051520 in words is "one trillion, two hundred fourteen billion, one hundred forty-seven million, fifty-one thousand, five hundred twenty".