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1441002960 = 2434517103127
BaseRepresentation
bin101010111100011…
…1111010111010000
310201102111112110000
41111320333113100
510422344043320
6354553410000
750465215545
oct12570772720
93642445400
101441002960
1167a454941
12342709900
1319c706997
14d9546bcc
1586793c90
hex55e3f5d0

1441002960 has 400 divisors, whose sum is σ = 5392797696. Its totient is φ = 355332096.

The previous prime is 1441002949. The next prime is 1441002973. The reversal of 1441002960 is 692001441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11346417 + ... + 11346543.

Almost surely, 21441002960 is an apocalyptic number.

1441002960 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 1441002960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696398848).

1441002960 is an abundant number, since it is smaller than the sum of its proper divisors (3951794736).

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

1441002960 is a wasteful number, since it uses less digits than its factorization.

1441002960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1441002960 is about 37960.5447800740. The cubic root of 1441002960 is about 1129.5053464507.

The spelling of 1441002960 in words is "one billion, four hundred forty-one million, two thousand, nine hundred sixty".