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1442041240 = 235297117509
BaseRepresentation
bin101010111110011…
…1100110110011000
310201111110021200211
41111330330312120
510423130304430
6355031540504
750510101603
oct12574746630
93644407624
101442041240
1167aaa3a22
12342b2a734
1319c9ab453
14d973733a
15868eb72a
hex55f3cd98

1442041240 has 64 divisors (see below), whose sum is σ = 3403944000. Its totient is φ = 549050880.

The previous prime is 1442041231. The next prime is 1442041241. The reversal of 1442041240 is 421402441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442041241) 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, 73606 + ... + 91114.

It is an arithmetic number, because the mean of its divisors is an integer number (53186625).

Almost surely, 21442041240 is an apocalyptic number.

1442041240 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 1442041240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701972000).

1442041240 is an abundant number, since it is smaller than the sum of its proper divisors (1961902760).

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

1442041240 is a wasteful number, since it uses less digits than its factorization.

1442041240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17620 (or 17616 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 1442041240 is about 37974.2180959661. The cubic root of 1442041240 is about 1129.7765606194.

Adding to 1442041240 its reverse (421402441), we get a palindrome (1863443681).

The spelling of 1442041240 in words is "one billion, four hundred forty-two million, forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 71 116 142 145 232 284 290 355 568 580 710 1160 1420 2059 2840 4118 8236 10295 16472 17509 20590 35018 41180 70036 82360 87545 140072 175090 350180 507761 700360 1015522 1243139 2031044 2486278 2538805 4062088 4972556 5077610 6215695 9945112 10155220 12431390 20310440 24862780 36051031 49725560 72102062 144204124 180255155 288408248 360510310 721020620 1442041240