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1042332144 = 24373102179
BaseRepresentation
bin111110001000001…
…011100111110000
32200122022221220020
4332020023213300
54113314112034
6251232443440
734554451140
oct7610134760
92618287806
101042332144
11495407627
122510a9580
13137c3c3a9
149c60a920
1561794249
hex3e20b9f0

1042332144 has 40 divisors (see below), whose sum is σ = 3077362560. Its totient is φ = 297809088.

The previous prime is 1042332139. The next prime is 1042332149. The reversal of 1042332144 is 4412332401.

1042332144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1042332139) and next prime (1042332149).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042332149) 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, 1550754 + ... + 1551425.

It is an arithmetic number, because the mean of its divisors is an integer number (76934064).

Almost surely, 21042332144 is an apocalyptic number.

1042332144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1042332144 is an abundant number, since it is smaller than the sum of its proper divisors (2035030416).

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

1042332144 is a wasteful number, since it uses less digits than its factorization.

1042332144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102197 (or 3102191 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1042332144 is about 32285.1691028559. The cubic root of 1042332144 is about 1013.9161569118.

Adding to 1042332144 its reverse (4412332401), we get a palindrome (5454664545).

The spelling of 1042332144 in words is "one billion, forty-two million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 3102179 6204358 9306537 12408716 18613074 21715253 24817432 37226148 43430506 49634864 65145759 74452296 86861012 130291518 148904592 173722024 260583036 347444048 521166072 1042332144