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1442992320 = 26355711241
BaseRepresentation
bin101011000000010…
…0101000011000000
310201120020121100000
41112000211003000
510423401223240
6355104200000
750521142460
oct12600450300
93646217300
101442992320
11680593540
12343309000
1319cc52313
14d9903ba0
1586a38430
hex560250c0

1442992320 has 672 divisors, whose sum is σ = 6443813376. Its totient is φ = 298598400.

The previous prime is 1442992289. The next prime is 1442992337. The reversal of 1442992320 is 232992441.

1442992320 is a `hidden beast` number, since 1 + 44 + 299 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5987400 + ... + 5987640.

It is an arithmetic number, because the mean of its divisors is an integer number (9589008).

Almost surely, 21442992320 is an apocalyptic number.

1442992320 is a gapful number since it is divisible by the number (10) 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 1442992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221906688).

1442992320 is an abundant number, since it is smaller than the sum of its proper divisors (5000821056).

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

1442992320 is a wasteful number, since it uses less digits than its factorization.

1442992320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1442992320 is about 37986.7387386704. The cubic root of 1442992320 is about 1130.0248826327.

The spelling of 1442992320 in words is "one billion, four hundred forty-two million, nine hundred ninety-two thousand, three hundred twenty".