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1440414225 = 335219313623
BaseRepresentation
bin101010111011010…
…1111101000010001
310201101101121212000
41111312233220101
510422221223400
6354533024213
750460214245
oct12566575021
93641347760
101440414225
1167a092588
12342485069
1319c55ba13
14d9432425
15866c9600
hex55dafa11

1440414225 has 96 divisors (see below), whose sum is σ = 2876006400. Its totient is φ = 704116800.

The previous prime is 1440414223. The next prime is 1440414247. The reversal of 1440414225 is 5224140441.

It is not a de Polignac number, because 1440414225 - 21 = 1440414223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1440414223) 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 95 ways as a sum of consecutive naturals, for example, 395764 + ... + 399386.

It is an arithmetic number, because the mean of its divisors is an integer number (29958400).

Almost surely, 21440414225 is an apocalyptic number.

1440414225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1440414225 is a deficient number, since it is larger than the sum of its proper divisors (1435592175).

1440414225 is a wasteful number, since it uses less digits than its factorization.

1440414225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 1440414225 is about 37952.7894231768. The cubic root of 1440414225 is about 1129.3515022347.

Adding to 1440414225 its reverse (5224140441), we get a palindrome (6664554666).

The spelling of 1440414225 in words is "one billion, four hundred forty million, four hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 27 31 45 57 75 93 95 135 155 171 225 279 285 465 475 513 589 675 775 837 855 1395 1425 1767 2325 2565 2945 3623 4185 4275 5301 6975 8835 10869 12825 14725 15903 18115 20925 26505 32607 44175 54345 68837 79515 90575 97821 112313 132525 163035 206511 271725 336939 344185 397575 489105 561565 619533 815175 1010817 1032555 1684695 1720925 1858599 2133947 2445525 2807825 3032451 3097665 5054085 5162775 6401841 8423475 9292995 10669735 15162255 15488325 19205523 25270425 32009205 46464975 53348675 57616569 75811275 96027615 160046025 288082845 480138075 1440414225