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1140199424 = 21272131923
BaseRepresentation
bin100001111110110…
…0001000000000000
32221110111010120022
41003331201000000
54313342340144
6305050233012
740153351400
oct10375410000
92843433508
101140199424
11535681781
12279a25768
131522b7220
14ab604800
156a176cee
hex43f61000

1140199424 has 312 divisors, whose sum is σ = 3137480640. Its totient is φ = 408748032.

The previous prime is 1140199393. The next prime is 1140199427. The reversal of 1140199424 is 4249910411.

It is not an unprimeable number, because it can be changed into a prime (1140199427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49573877 + ... + 49573899.

Almost surely, 21140199424 is an apocalyptic number.

1140199424 is a gapful number since it is divisible by the number (14) 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 1140199424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568740320).

1140199424 is an abundant number, since it is smaller than the sum of its proper divisors (1997281216).

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

1140199424 is a wasteful number, since it uses less digits than its factorization.

1140199424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 1140199424 is about 33766.8391176906. The cubic root of 1140199424 is about 1044.7048376188.

The spelling of 1140199424 in words is "one billion, one hundred forty million, one hundred ninety-nine thousand, four hundred twenty-four".