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2440002020440 = 235714133207877
BaseRepresentation
bin100011100000011011011…
…101000010010001011000
322122021001221021101222111
4203200123131002101120
5304434111004123230
65104531011202104
7341166344653255
oct43403335022130
98567057241874
102440002020440
11860887591206
12334a7b8a6334
131491254b179a
148614d5c842c
154370b65b92a
hex2381b742458

2440002020440 has 64 divisors (see below), whose sum is σ = 5568702384960. Its totient is φ = 962016867840.

The previous prime is 2440002020371. The next prime is 2440002020479. The reversal of 2440002020440 is 440202000442.

It is a congruent number.

It is an unprimeable number.

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, 11633782 + ... + 11841658.

It is an arithmetic number, because the mean of its divisors is an integer number (87010974765).

Almost surely, 22440002020440 is an apocalyptic number.

2440002020440 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 2440002020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784351192480).

2440002020440 is an abundant number, since it is smaller than the sum of its proper divisors (3128700364520).

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

2440002020440 is a wasteful number, since it uses less digits than its factorization.

2440002020440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212092 (or 212088 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 2440002020440 its reverse (440202000442), we get a palindrome (2880204020882).

The spelling of 2440002020440 in words is "two trillion, four hundred forty billion, two million, twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 4133 8266 16532 20665 33064 41330 82660 165320 207877 293443 415754 586886 831508 1039385 1173772 1467215 1663016 2078770 2347544 2934430 4157540 5868860 8315080 11737720 14759267 29518534 59037068 73796335 118074136 147592670 295185340 590370680 859155641 1718311282 3436622564 4295778205 6873245128 8591556410 17183112820 34366225640 61000050511 122000101022 244000202044 305000252555 488000404088 610000505110 1220001010220 2440002020440