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2432003240420 = 2251315461604997
BaseRepresentation
bin100011011000111110101…
…100000111000111100100
322121111102111011021120122
4203120332230013013210
5304321220312143140
65101125153421112
7340464210314015
oct43307654070744
98544374137518
102432003240420
11858452477406
12333408b6a798
1314844c2a7a60
14859d115b00c
15433de302ab5
hex2363eb071e4

2432003240420 has 48 divisors (see below), whose sum is σ = 5500433696688. Its totient is φ = 897910863360.

The previous prime is 2432003240417. The next prime is 2432003240437. The reversal of 2432003240420 is 240423002342.

It is a happy number.

2432003240420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 184480558144 + 2247522682276 = 429512^2 + 1499174^2 .

It is a super-2 number, since 2×24320032404202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2432003240420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3717362 + ... + 4322358.

It is an arithmetic number, because the mean of its divisors is an integer number (114592368681).

Almost surely, 22432003240420 is an apocalyptic number.

2432003240420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2432003240420 is an abundant number, since it is smaller than the sum of its proper divisors (3068430456268).

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

2432003240420 is a wasteful number, since it uses less digits than its factorization.

2432003240420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620480 (or 620478 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 2432003240420 its reverse (240423002342), we get a palindrome (2672426242762).

The spelling of 2432003240420 in words is "two trillion, four hundred thirty-two billion, three million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 15461 30922 61844 77305 154610 200993 309220 401986 604997 803972 1004965 1209994 2009930 2419988 3024985 4019860 6049970 7864961 12099940 15729922 31459844 39324805 78649610 157299220 9353858617 18707717234 37415434468 46769293085 93538586170 121600162021 187077172340 243200324042 486400648084 608000810105 1216001620210 2432003240420