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1442197440 = 26335712351
BaseRepresentation
bin101010111110110…
…0010111111000000
310201111202012222000
41111331202333000
510423200304230
6355035144000
750511322155
oct12575427700
93644665860
101442197440
116800a0312
12342ba5000
1319ca34588
14d977822c
158692cb60
hex55f62fc0

1442197440 has 224 divisors, whose sum is σ = 5161605120. Its totient is φ = 379008000.

The previous prime is 1442197439. The next prime is 1442197481. The reversal of 1442197440 is 447912441.

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

It is a junction number, because it is equal to n+sod(n) for n = 1442197395 and 1442197404.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 612265 + ... + 614615.

It is an arithmetic number, because the mean of its divisors is an integer number (23042880).

Almost surely, 21442197440 is an apocalyptic number.

1442197440 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 1442197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580802560).

1442197440 is an abundant number, since it is smaller than the sum of its proper divisors (3719407680).

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

1442197440 is a wasteful number, since it uses less digits than its factorization.

1442197440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1442197440 is about 37976.2746988169. The cubic root of 1442197440 is about 1129.8173511143.

The spelling of 1442197440 in words is "one billion, four hundred forty-two million, one hundred ninety-seven thousand, four hundred forty".