Search a number
-
+
7215226425440 = 2551118012276269
BaseRepresentation
bin110100011111110110100…
…0000100001000001100000
3221112202202112110012212122
41220333231000201001200
51421203240431103230
623202343530443412
71343166015461135
oct150775500410140
927482675405778
107215226425440
112331a62242320
12986438893568
13404515370aa7
141ad30c63c58c
15c7a407b1be5
hex68fed021060

7215226425440 has 96 divisors (see below), whose sum is σ = 18605939617440. Its totient is φ = 2622260736000.

The previous prime is 7215226425413. The next prime is 7215226425487. The reversal of 7215226425440 is 445246225127.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 7215226425391 and 7215226425400.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2031626 + ... + 4307894.

It is an arithmetic number, because the mean of its divisors is an integer number (193811871015).

Almost surely, 27215226425440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7215226425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9302969808720).

7215226425440 is an abundant number, since it is smaller than the sum of its proper divisors (11390713192000).

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

7215226425440 is a wasteful number, since it uses less digits than its factorization.

7215226425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278096 (or 2278088 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 44.

The spelling of 7215226425440 in words is "seven trillion, two hundred fifteen billion, two hundred twenty-six million, four hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 1801 3602 7204 9005 14408 18010 19811 28816 36020 39622 57632 72040 79244 99055 144080 158488 198110 288160 316976 396220 633952 792440 1584880 2276269 3169760 4552538 9105076 11381345 18210152 22762690 25038959 36420304 45525380 50077918 72840608 91050760 100155836 125194795 182101520 200311672 250389590 364203040 400623344 500779180 801246688 1001558360 2003116720 4006233440 4099560469 8199120938 16398241876 20497802345 32796483752 40995604690 45095165159 65592967504 81991209380 90190330318 131185935008 163982418760 180380660636 225475825795 327964837520 360761321272 450951651590 655929675040 721522642544 901903303180 1443045285088 1803806606360 3607613212720 7215226425440