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1442940480 = 26345179311
BaseRepresentation
bin101011000000001…
…1000011001000000
310201120010222020000
41112000120121000
510423343043410
6355103120000
750520535362
oct12600303100
93646128200
101442940480
116805585a3
123432a3000
1319cc34847
14d98ccd32
1586a27dc0
hex56018640

1442940480 has 280 divisors, whose sum is σ = 5178064320. Its totient is φ = 381404160.

The previous prime is 1442940461. The next prime is 1442940481. The reversal of 1442940480 is 840492441.

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

It is not an unprimeable number, because it can be changed into a prime (1442940481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4639525 + ... + 4639835.

Almost surely, 21442940480 is an apocalyptic number.

1442940480 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 1442940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589032160).

1442940480 is an abundant number, since it is smaller than the sum of its proper divisors (3735123840).

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

1442940480 is a wasteful number, since it uses less digits than its factorization.

1442940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1442940480 is about 37986.0563891542. The cubic root of 1442940480 is about 1130.0113502919.

The spelling of 1442940480 in words is "one billion, four hundred forty-two million, nine hundred forty thousand, four hundred eighty".