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2400042204020 = 2251133907271811
BaseRepresentation
bin100010111011001101101…
…010011011101101110100
322111102221001211101222202
4202323031222123231310
5303310241301012040
65034321505444032
7335253166063616
oct42731552335564
98442831741882
102400042204020
1184594128973a
12329189340618
1314542785b4b6
148423c4badb6
154266d461015
hex22ecda9bb74

2400042204020 has 48 divisors (see below), whose sum is σ = 5086011325248. Its totient is φ = 951274114560.

The previous prime is 2400042204017. The next prime is 2400042204023. The reversal of 2400042204020 is 204022400042.

It is an interprime number because it is at equal distance from previous prime (2400042204017) and next prime (2400042204023).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2400042203983 and 2400042204001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400042204023) 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, 8693915 + ... + 8965725.

It is an arithmetic number, because the mean of its divisors is an integer number (105958569276).

Almost surely, 22400042204020 is an apocalyptic number.

2400042204020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400042204020 is an abundant number, since it is smaller than the sum of its proper divisors (2685969121228).

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

2400042204020 is a wasteful number, since it uses less digits than its factorization.

2400042204020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275840 (or 275838 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 2400042204020 its reverse (204022400042), we get a palindrome (2604064604062).

It can be divided in two parts, 2400042 and 204020, that added together give a palindrome (2604062).

The spelling of 2400042204020 in words is "two trillion, four hundred billion, forty-two million, two hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 3907 7814 15628 19535 39070 78140 271811 441491 543622 882982 1087244 1359055 1765964 2207455 2718110 4414910 5436220 8829820 30714643 61429286 122858572 153573215 307146430 614292860 1061965577 2123931154 4247862308 5309827885 10619655770 21239311540 120002110201 240004220402 480008440804 600010551005 1200021102010 2400042204020