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1418997888 = 273271117941
BaseRepresentation
bin101010010010100…
…0011000010000000
310122220002120011100
41110211003002000
510401230413023
6352450014400
750110166040
oct12445030200
93586076140
101418997888
11668a95130
12337277400
13197ca0a29
14d6659720
1584898c43
hex54943080

1418997888 has 384 divisors, whose sum is σ = 5396077440. Its totient is φ = 346521600.

The previous prime is 1418997883. The next prime is 1418997929. The reversal of 1418997888 is 8887998141.

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

It is a super-2 number, since 2×14189978882 = 4027110012296921088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1418997883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1507498 + ... + 1508438.

It is an arithmetic number, because the mean of its divisors is an integer number (14052285).

Almost surely, 21418997888 is an apocalyptic number.

1418997888 is a gapful number since it is divisible by the number (18) 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 1418997888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698038720).

1418997888 is an abundant number, since it is smaller than the sum of its proper divisors (3977079552).

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

1418997888 is a wasteful number, since it uses less digits than its factorization.

1418997888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 981 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 63.

The square root of 1418997888 is about 37669.5883704614. The cubic root of 1418997888 is about 1123.7263975249.

The spelling of 1418997888 in words is "one billion, four hundred eighteen million, nine hundred ninety-seven thousand, eight hundred eighty-eight".