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2124402334432 = 257151181347003
BaseRepresentation
bin11110111010100000001…
…111110001101011100000
321112002110020210012222221
4132322200033301223200
5234301233444200212
64303534214440424
7306324445620520
oct36724017615340
97462406705887
102124402334432
11749a54809a24
122a3882063114
1312543a81b151
1474b7075b680
153a3d96cd807
hex1eea03f1ae0

2124402334432 has 96 divisors (see below), whose sum is σ = 4838157402624. Its totient is φ = 899429184000.

The previous prime is 2124402334429. The next prime is 2124402334459. The reversal of 2124402334432 is 2344332044212.

It is a congruent number.

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, 5948643 + ... + 6295645.

It is an arithmetic number, because the mean of its divisors is an integer number (50397472944).

Almost surely, 22124402334432 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 2124402334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419078701312).

2124402334432 is an abundant number, since it is smaller than the sum of its proper divisors (2713755068192).

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

2124402334432 is a wasteful number, since it uses less digits than its factorization.

2124402334432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347352 (or 347344 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 2124402334432 its reverse (2344332044212), we get a palindrome (4468734378644).

The spelling of 2124402334432 in words is "two trillion, one hundred twenty-four billion, four hundred two million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 151 181 224 302 362 604 724 1057 1208 1267 1448 2114 2416 2534 2896 4228 4832 5068 5792 8456 10136 16912 20272 27331 33824 40544 54662 109324 191317 218648 347003 382634 437296 694006 765268 874592 1388012 1530536 2429021 2776024 3061072 4858042 5552048 6122144 9716084 11104096 19432168 38864336 52397453 62807543 77728672 104794906 125615086 209589812 251230172 366782171 419179624 439652801 502460344 733564342 838359248 879305602 1004920688 1467128684 1676718496 1758611204 2009841376 2934257368 3517222408 5868514736 7034444816 9483938993 11737029472 14068889632 18967877986 37935755972 66387572951 75871511944 132775145902 151743023888 265550291804 303486047776 531100583608 1062201167216 2124402334432