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1404022144 = 2772775657
BaseRepresentation
bin101001110101111…
…1010110110000000
310121211220201022011
41103223322312000
510333412202034
6351153022304
746535664010
oct12353726600
93554821264
101404022144
11660596688
12332254994
13194b59445
14d467bc40
15833db864
hex53afad80

1404022144 has 64 divisors (see below), whose sum is σ = 3208764960. Its totient is φ = 599445504.

The previous prime is 1404022141. The next prime is 1404022171. The reversal of 1404022144 is 4412204041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404022141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245364 + ... + 251020.

Almost surely, 21404022144 is an apocalyptic number.

1404022144 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 1404022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604382480).

1404022144 is an abundant number, since it is smaller than the sum of its proper divisors (1804742816).

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

1404022144 is an equidigital number, since it uses as much as digits as its factorization.

1404022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5955 (or 5943 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 1404022144 is about 37470.2834790451. The cubic root of 1404022144 is about 1119.7592339606.

Adding to 1404022144 its reverse (4412204041), we get a palindrome (5816226185).

The spelling of 1404022144 in words is "one billion, four hundred four million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 277 448 554 896 1108 1939 2216 3878 4432 5657 7756 8864 11314 15512 17728 22628 31024 35456 39599 45256 62048 79198 90512 124096 158396 181024 248192 316792 362048 633584 724096 1267168 1566989 2534336 3133978 5068672 6267956 10968923 12535912 21937846 25071824 43875692 50143648 87751384 100287296 175502768 200574592 351005536 702011072 1404022144