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1142916480 = 273557349
BaseRepresentation
bin100010000011111…
…1000010110000000
32221122121011200000
41010013320112000
54320041311410
6305224400000
740215426006
oct10407702600
92848534600
101142916480
11537168082
1227a916000
13152a28b54
14abb10a76
156a511dc0
hex441f8580

1142916480 has 192 divisors, whose sum is σ = 4093362000. Its totient is φ = 304736256.

The previous prime is 1142916473. The next prime is 1142916487. The reversal of 1142916480 is 846192411.

1142916480 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 9 + 1 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1142916473) and next prime (1142916487).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142916487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151846 + ... + 159194.

Almost surely, 21142916480 is an apocalyptic number.

1142916480 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 1142916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046681000).

1142916480 is an abundant number, since it is smaller than the sum of its proper divisors (2950445520).

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

1142916480 is an frugal number, since it uses more digits than its factorization.

1142916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7383 (or 7359 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1142916480 is about 33807.0477859277. The cubic root of 1142916480 is about 1045.5340112317.

The spelling of 1142916480 in words is "one billion, one hundred forty-two million, nine hundred sixteen thousand, four hundred eighty".