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4443420402100 = 2252371901631733
BaseRepresentation
bin100000010101001000001…
…1111101010000110110100
3120201210020121102001000201
41000222100133222012310
51040300111110331400
613241140144050244
7636012046144531
oct100522037520664
916653217361021
104443420402100
111463497a827a9
125b91b8603984
132630220065a4
141150c406bd88
157a8b47c306a
hex40a907ea1b4

4443420402100 has 72 divisors (see below), whose sum is σ = 9908047828728. Its totient is φ = 1728418752000.

The previous prime is 4443420402097. The next prime is 4443420402149. The reversal of 4443420402100 is 12040243444.

It can be written as a sum of positive squares in 12 ways, for example, as 1678589724816 + 2764830677284 = 1295604^2 + 1662778^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6717834 + ... + 7349566.

It is an arithmetic number, because the mean of its divisors is an integer number (137611775399).

Almost surely, 24443420402100 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 4443420402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4954023914364).

4443420402100 is an abundant number, since it is smaller than the sum of its proper divisors (5464627426628).

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

4443420402100 is a wasteful number, since it uses less digits than its factorization.

4443420402100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633685 (or 633678 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4443420402100 its reverse (12040243444), we get a palindrome (4455460645544).

The spelling of 4443420402100 in words is "four trillion, four hundred forty-three billion, four hundred twenty million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 1901 3700 3802 7604 9505 19010 38020 47525 70337 95050 140674 190100 281348 351685 631733 703370 1263466 1406740 1758425 2526932 3158665 3516850 6317330 7033700 12634660 15793325 23374121 31586650 46748242 63173300 93496484 116870605 233741210 467482420 584353025 1168706050 1200924433 2337412100 2401848866 4803697732 6004622165 12009244330 24018488660 30023110825 44434204021 60046221650 88868408042 120092443300 177736816084 222171020105 444342040210 888684080420 1110855100525 2221710201050 4443420402100