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44123003430 = 235111767117389
BaseRepresentation
bin101001000101111011…
…111001101000100110
311012220000012210221020
4221011323321220212
51210330442102210
632134141032010
73121260224652
oct510573715046
9135800183836
1044123003430
11177923155a0
128674855606
13421230cc6c
1421c7dbda62
151233957770
hexa45ef9a26

44123003430 has 128 divisors (see below), whose sum is σ = 124144151040. Its totient is φ = 9916938240.

The previous prime is 44123003423. The next prime is 44123003501. The reversal of 44123003430 is 3430032144.

It is a self number, because there is not a number n which added to its sum of digits gives 44123003430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317176 + ... + 434564.

It is an arithmetic number, because the mean of its divisors is an integer number (969876180).

Almost surely, 244123003430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44123003430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62072075520).

44123003430 is an abundant number, since it is smaller than the sum of its proper divisors (80021147610).

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

44123003430 is a wasteful number, since it uses less digits than its factorization.

44123003430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117494.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 44123003430 its reverse (3430032144), we get a palindrome (47553035574).

The spelling of 44123003430 in words is "forty-four billion, one hundred twenty-three million, three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 67 85 102 110 134 165 170 187 201 255 330 335 374 402 510 561 670 737 935 1005 1122 1139 1474 1870 2010 2211 2278 2805 3417 3685 4422 5610 5695 6834 7370 11055 11390 12529 17085 22110 25058 34170 37587 62645 75174 117389 125290 187935 234778 352167 375870 586945 704334 1173890 1291279 1760835 1995613 2582558 3521670 3873837 3991226 5986839 6456395 7747674 7865063 9978065 11973678 12912790 15730126 19369185 19956130 21951743 23595189 29934195 38738370 39325315 43903486 47190378 59868390 65855229 78650630 86515693 109758715 117975945 131710458 133706071 173031386 219517430 235951890 259547079 267412142 329276145 401118213 432578465 519094158 658552290 668530355 802236426 865156930 1297735395 1337060710 1470766781 2005591065 2595470790 2941533562 4011182130 4412300343 7353833905 8824600686 14707667810 22061501715 44123003430