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2440010140 = 225377146441
BaseRepresentation
bin1001000101101111…
…1001100110011100
320022001022100122221
42101123321212130
514444120311030
61042041515124
7114315513121
oct22133714634
96261270587
102440010140
11104235a807
125811a2aa4
132cb686ca9
141920b6748
15e432ae7a
hex916f999c

2440010140 has 48 divisors (see below), whose sum is σ = 5336743104. Its totient is φ = 936230400.

The previous prime is 2440010137. The next prime is 2440010147. The reversal of 2440010140 is 410100442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440010147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29320 + ... + 75760.

It is an arithmetic number, because the mean of its divisors is an integer number (111182148).

Almost surely, 22440010140 is an apocalyptic number.

2440010140 is a gapful number since it is divisible by the number (20) 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 2440010140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668371552).

2440010140 is an abundant number, since it is smaller than the sum of its proper divisors (2896732964).

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

2440010140 is a wasteful number, since it uses less digits than its factorization.

2440010140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46558 (or 46556 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2440010140 is about 49396.4587799571. The cubic root of 2440010140 is about 1346.2649643559.

Adding to 2440010140 its reverse (410100442), we get a palindrome (2850110582).

The spelling of 2440010140 in words is "two billion, four hundred forty million, ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 71 74 142 148 185 284 355 370 710 740 1420 2627 5254 10508 13135 26270 46441 52540 92882 185764 232205 464410 928820 1718317 3297311 3436634 6594622 6873268 8591585 13189244 16486555 17183170 32973110 34366340 65946220 122000507 244001014 488002028 610002535 1220005070 2440010140