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1442119680 = 216335163
BaseRepresentation
bin101010111110101…
…0000000000000000
310201111121021022000
41111331100000000
510423140312210
6355033344000
750510546361
oct12575200000
93644537260
101442119680
11680047951
12342b68000
1319ca08071
14d9757b68
1586914ac0
hex55f50000

1442119680 has 272 divisors, whose sum is σ = 5158954560. Its totient is φ = 382205952.

The previous prime is 1442119633. The next prime is 1442119687. The reversal of 1442119680 is 869112441.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442119687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8847279 + ... + 8847441.

Almost surely, 21442119680 is an apocalyptic number.

1442119680 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 1442119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579477280).

1442119680 is an abundant number, since it is smaller than the sum of its proper divisors (3716834880).

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

1442119680 is an frugal number, since it uses more digits than its factorization.

1442119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1442119680 is about 37975.2508879138. The cubic root of 1442119680 is about 1129.7970450236.

The spelling of 1442119680 in words is "one billion, four hundred forty-two million, one hundred nineteen thousand, six hundred eighty".