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1442204010 = 23251317312339
BaseRepresentation
bin101010111110110…
…0100100101101010
310201111202112222100
41111331210211222
510423201012020
6355035234230
750511350262
oct12575444552
93644675870
101442204010
116800a5245
12342ba8976
1319ca37570
14d977a7a2
158692ea90
hex55f6496a

1442204010 has 192 divisors, whose sum is σ = 4415523840. Its totient is φ = 323205120.

The previous prime is 1442204003. The next prime is 1442204033. The reversal of 1442204010 is 104022441.

1442204010 is a `hidden beast` number, since 1 + 44 + 220 + 401 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 615421 + ... + 617759.

It is an arithmetic number, because the mean of its divisors is an integer number (22997520).

Almost surely, 21442204010 is an apocalyptic number.

1442204010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442204010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207761920).

1442204010 is an abundant number, since it is smaller than the sum of its proper divisors (2973319830).

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

1442204010 is a wasteful number, since it uses less digits than its factorization.

1442204010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1442204010 is about 37976.3612000939. The cubic root of 1442204010 is about 1129.8190667575.

Adding to 1442204010 its reverse (104022441), we get a palindrome (1546226451).

The spelling of 1442204010 in words is "one billion, four hundred forty-two million, two hundred four thousand, ten".