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1042144812 = 2233172322937
BaseRepresentation
bin111110000111011…
…101111000101100
32200121222102221000
4332013131320230
54113242113222
6251224440300
734553041032
oct7607357054
92617872830
101042144812
11495299905
12251019090
13137ba5047
149c59c552
15617589ac
hex3e1dde2c

1042144812 has 288 divisors, whose sum is σ = 3177316800. Its totient is φ = 293787648.

The previous prime is 1042144799. The next prime is 1042144837. The reversal of 1042144812 is 2184412401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28166058 + ... + 28166094.

It is an arithmetic number, because the mean of its divisors is an integer number (11032350).

Almost surely, 21042144812 is an apocalyptic number.

1042144812 is a gapful number since it is divisible by the number (12) 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 1042144812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588658400).

1042144812 is an abundant number, since it is smaller than the sum of its proper divisors (2135171988).

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

1042144812 is a wasteful number, since it uses less digits than its factorization.

1042144812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1042144812 is about 32282.2677642076. The cubic root of 1042144812 is about 1013.8554116166.

The spelling of 1042144812 in words is "one billion, forty-two million, one hundred forty-four thousand, eight hundred twelve".