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2425042330000 = 2454709342037
BaseRepresentation
bin100011010010011111110…
…010010110000110010000
322120211110100222101121121
4203102133302112012100
5304212441314030000
65054014333132024
7340126544461363
oct43223762260620
98524410871547
102425042330000
118555001a1384
12331ba592a014
131478b010a154
14855308980da
154313315ab1a
hex2349fc96190

2425042330000 has 100 divisors (see below), whose sum is σ = 5879568232780. Its totient is φ = 968645952000.

The previous prime is 2425042329937. The next prime is 2425042330003. The reversal of 2425042330000 is 332405242.

It can be written as a sum of positive squares in 10 ways, for example, as 2337388437904 + 87653892096 = 1528852^2 + 296064^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2425042330003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6918982 + ... + 7261018.

Almost surely, 22425042330000 is an apocalyptic number.

2425042330000 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 2425042330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939784116390).

2425042330000 is an abundant number, since it is smaller than the sum of its proper divisors (3454525902780).

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

2425042330000 is an equidigital number, since it uses as much as digits as its factorization.

2425042330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342774 (or 342753 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 2425042330000 its reverse (332405242), we get a palindrome (2425374735242).

The spelling of 2425042330000 in words is "two trillion, four hundred twenty-five billion, forty-two million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 709 1000 1250 1418 2000 2500 2836 3545 5000 5672 7090 10000 11344 14180 17725 28360 35450 56720 70900 88625 141800 177250 283600 342037 354500 443125 684074 709000 886250 1368148 1418000 1710185 1772500 2736296 3420370 3545000 5472592 6840740 7090000 8550925 13681480 17101850 27362960 34203700 42754625 68407400 85509250 136814800 171018500 213773125 242504233 342037000 427546250 485008466 684074000 855092500 970016932 1212521165 1710185000 1940033864 2425042330 3420370000 3880067728 4850084660 6062605825 9700169320 12125211650 19400338640 24250423300 30313029125 48500846600 60626058250 97001693200 121252116500 151565145625 242504233000 303130291250 485008466000 606260582500 1212521165000 2425042330000