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45303434244 = 22331979727701
BaseRepresentation
bin101010001100010010…
…111000110000000100
311022221021101220121000
4222030102320300010
51220240134343434
632451225453300
73162442560135
oct521422706004
9138837356530
1045303434244
1118238675752
128944041230
13436ca42133
14229aa97c8c
1512a23c9b99
hexa8c4b8c04

45303434244 has 96 divisors (see below), whose sum is σ = 123794697600. Its totient is φ = 14287881600.

The previous prime is 45303434237. The next prime is 45303434257. The reversal of 45303434244 is 44243430354.

45303434244 is a `hidden beast` number, since 4 + 5 + 303 + 4 + 342 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45303434199 and 45303434208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1621594 + ... + 1649294.

It is an arithmetic number, because the mean of its divisors is an integer number (1289528100).

Almost surely, 245303434244 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 45303434244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61897348800).

45303434244 is an abundant number, since it is smaller than the sum of its proper divisors (78491263356).

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

45303434244 is a wasteful number, since it uses less digits than its factorization.

45303434244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28530 (or 28522 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 36.

Adding to 45303434244 its reverse (44243430354), we get a palindrome (89546864598).

The spelling of 45303434244 in words is "forty-five billion, three hundred three million, four hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 797 1026 1594 2052 2391 3188 4782 7173 9564 14346 15143 21519 27701 28692 30286 43038 45429 55402 60572 83103 86076 90858 110804 136287 166206 181716 249309 272574 332412 408861 498618 526319 545148 747927 817722 997236 1052638 1495854 1578957 1635444 2105276 2991708 3157914 4736871 6315828 9473742 14210613 18947484 22077697 28421226 44155394 56842452 66233091 88310788 132466182 198699273 264932364 397398546 419476243 596097819 794797092 838952486 1192195638 1258428729 1677904972 2384391276 2516857458 3775286187 5033714916 7550572374 11325858561 15101144748 22651717122 45303434244