Search a number
-
+
2240121410000 = 2454224012141
BaseRepresentation
bin100000100110010001101…
…001000001000111010000
321221011010220122100011122
4200212101221001013100
5243200232040110000
64433033024101412
7320562203545625
oct40462151010720
97834126570148
102240121410000
11794037155171
12302198164868
1313331cb34726
147a5cb30434c
153d40d91c085
hex20991a411d0

2240121410000 has 50 divisors (see below), whose sum is σ = 5423557969962. Its totient is φ = 896048560000.

The previous prime is 2240121409991. The next prime is 2240121410099. The reversal of 2240121410000 is 141210422.

It can be written as a sum of positive squares in 5 ways, for example, as 1513037763136 + 727083646864 = 1230056^2 + 852692^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 111996071 + ... + 112016070.

Almost surely, 22240121410000 is an apocalyptic number.

2240121410000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240121410000 is an abundant number, since it is smaller than the sum of its proper divisors (3183436559962).

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

2240121410000 is an equidigital number, since it uses as much as digits as its factorization.

2240121410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224012169 (or 224012148 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2240121410000 its reverse (141210422), we get a palindrome (2240262620422).

The spelling of 2240121410000 in words is "two trillion, two hundred forty billion, one hundred twenty-one million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 224012141 448024282 896048564 1120060705 1792097128 2240121410 3584194256 4480242820 5600303525 8960485640 11200607050 17920971280 22401214100 28001517625 44802428200 56003035250 89604856400 112006070500 140007588125 224012141000 280015176250 448024282000 560030352500 1120060705000 2240121410000