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2240130440000 = 265460079323
BaseRepresentation
bin100000100110010010001…
…011011101101101000000
321221011011112122010000002
4200212102023131231000
5243200241343040000
64433033545415132
7320562343365305
oct40462213355500
97834145563002
102240130440000
11794041262582
1230219b19a4a8
1313332197691b
147a5cc5b50ac
153d40e6028d5
hex209922ddb40

2240130440000 has 140 divisors (see below), whose sum is σ = 5556316084704. Its totient is φ = 895806912000.

The previous prime is 2240130439999. The next prime is 2240130440003. The reversal of 2240130440000 is 440310422.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240130440003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 240275339 + ... + 240284661.

Almost surely, 22240130440000 is an apocalyptic number.

2240130440000 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 2240130440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778158042352).

2240130440000 is an abundant number, since it is smaller than the sum of its proper divisors (3316185644704).

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

2240130440000 is an frugal number, since it uses more digits than its factorization.

2240130440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15362 (or 15337 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2240130440000 its reverse (440310422), we get a palindrome (2240570750422).

The spelling of 2240130440000 in words is "two trillion, two hundred forty billion, one hundred thirty million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 6007 8000 9323 10000 12014 18646 20000 24028 30035 37292 40000 46615 48056 60070 74584 93230 96112 120140 149168 150175 186460 192224 233075 240280 298336 300350 372920 384448 466150 480560 596672 600700 745840 750875 932300 961120 1165375 1201400 1491680 1501750 1864600 1922240 2330750 2402800 2983360 3003500 3729200 3754375 4661500 4805600 5826875 6007000 7458400 7508750 9323000 9611200 11653750 12014000 14916800 15017500 18646000 23307500 24028000 30035000 37292000 46615000 48056000 56003261 60070000 74584000 93230000 112006522 120140000 186460000 224013044 240280000 280016305 372920000 448026088 560032610 896052176 1120065220 1400081525 1792104352 2240130440 2800163050 3584208704 4480260880 5600326100 7000407625 8960521760 11200652200 14000815250 17921043520 22401304400 28001630500 35002038125 44802608800 56003261000 70004076250 89605217600 112006522000 140008152500 224013044000 280016305000 448026088000 560032610000 1120065220000 2240130440000