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45014402224 = 241112715113337
BaseRepresentation
bin101001111011000100…
…010100010010110000
311022012010112120012101
4221323010110102300
51214142141332344
632402422510144
73152333051161
oct517304242260
9138163476171
1045014402224
11180aa502710
128883295354
134324bb467c
14227053b768
151286d359d4
hexa7b1144b0

45014402224 has 80 divisors (see below), whose sum is σ = 96535535616. Its totient is φ = 20164032000.

The previous prime is 45014402219. The next prime is 45014402287. The reversal of 45014402224 is 42220441054.

It is a super-2 number, since 2×450144022242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45014402192 and 45014402201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3368484 + ... + 3381820.

Almost surely, 245014402224 is an apocalyptic number.

45014402224 is a gapful number since it is divisible by the number (44) 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 45014402224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48267767808).

45014402224 is an abundant number, since it is smaller than the sum of its proper divisors (51521133392).

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

45014402224 is a wasteful number, since it uses less digits than its factorization.

45014402224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13634 (or 13628 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 45014402224 its reverse (42220441054), we get a palindrome (87234843278).

The spelling of 45014402224 in words is "forty-five billion, fourteen million, four hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 127 151 176 254 302 508 604 1016 1208 1397 1661 2032 2416 2794 3322 5588 6644 11176 13288 13337 19177 22352 26576 26674 38354 53348 76708 106696 146707 153416 210947 213392 293414 306832 421894 586828 843788 1173656 1687576 1693799 2013887 2347312 3375152 3387598 4027774 6775196 8055548 13550392 16111096 18631789 22152757 27100784 32222192 37263578 44305514 74527156 88611028 149054312 177222056 255763649 298108624 354444112 511527298 1023054596 2046109192 2813400139 4092218384 5626800278 11253600556 22507201112 45014402224