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44431403121 = 3472293710433
BaseRepresentation
bin101001011000010100…
…010110100001110001
311020200111112010210000
4221120110112201301
51211443414344441
632224515100213
73132023460300
oct513024264161
9136614463700
1044431403121
1117930406876
12873bba1669
13426118c0a1
142216d3c437
151250a752b6
hexa58516871

44431403121 has 120 divisors (see below), whose sum is σ = 82038159720. Its totient is φ = 23849054208.

The previous prime is 44431403113. The next prime is 44431403123. The reversal of 44431403121 is 12130413444.

It can be written as a sum of positive squares in 4 ways, for example, as 18724090896 + 25707312225 = 136836^2 + 160335^2 .

It is not a de Polignac number, because 44431403121 - 23 = 44431403113 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 (44431403123) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4253521 + ... + 4263953.

It is an arithmetic number, because the mean of its divisors is an integer number (683651331).

Almost surely, 244431403121 is an apocalyptic number.

It is an amenable number.

44431403121 is a deficient number, since it is larger than the sum of its proper divisors (37606756599).

44431403121 is a wasteful number, since it uses less digits than its factorization.

44431403121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10525 (or 10509 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 44431403121 its reverse (12130413444), we get a palindrome (56561816565).

The spelling of 44431403121 in words is "forty-four billion, four hundred thirty-one million, four hundred three thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 29 37 49 63 81 87 111 147 189 203 259 261 333 441 567 609 777 783 999 1073 1323 1421 1813 1827 2331 2349 2997 3219 3969 4263 5439 5481 6993 7511 9657 10433 12789 16317 16443 20979 22533 28971 31299 38367 48951 52577 67599 73031 86913 93897 115101 146853 157731 202797 219093 281691 302557 386021 473193 511217 608391 657279 845073 907671 1158063 1419579 1533651 1971837 2117899 2702147 2723013 3474189 4258737 4600953 5915511 6353697 8106441 8169039 10422567 11194609 13802859 14825293 18915029 19061091 24319323 24507117 31267701 33583827 41408577 44475879 56745087 57183273 72957969 78362263 100751481 133427637 170235261 171549819 218873907 235086789 302254443 400282911 510705783 548535841 705260367 906763329 1200848733 1532117349 1645607523 2115781101 4936822569 6347343303 14810467707 44431403121