Search a number
-
+
4408040404840 = 235473049769007
BaseRepresentation
bin100000000100101001110…
…1011101011011101101000
3120121101220220200221211211
41000021103223223131220
51034210131320423330
613213005324002504
7633320231136502
oct100112353533550
916541826627754
104408040404840
11144a491989146
125b2383990434
1325c8a4155a77
141134c92c6d72
15799e36d0d2a
hex40253aeb768

4408040404840 has 64 divisors (see below), whose sum is σ = 10132449408000. Its totient is φ = 1725132691968.

The previous prime is 4408040404837. The next prime is 4408040404909. The reversal of 4408040404840 is 484040408044.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4408040404793 and 4408040404802.

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, 5347617 + ... + 6116623.

It is an arithmetic number, because the mean of its divisors is an integer number (158319522000).

Almost surely, 24408040404840 is an apocalyptic number.

4408040404840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4408040404840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066224704000).

4408040404840 is an abundant number, since it is smaller than the sum of its proper divisors (5724409003160).

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

4408040404840 is a wasteful number, since it uses less digits than its factorization.

4408040404840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772114 (or 772110 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 4408040404840 in words is "four trillion, four hundred eight billion, forty million, four hundred four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 3049 6098 12196 15245 24392 30490 60980 121960 143303 286606 573212 716515 769007 1146424 1433030 1538014 2866060 3076028 3845035 5732120 6152056 7690070 15380140 30760280 36143329 72286658 144573316 180716645 289146632 361433290 722866580 1445733160 2344702343 4689404686 9378809372 11723511715 18757618744 23447023430 46894046860 93788093720 110201010121 220402020242 440804040484 551005050605 881608080968 1102010101210 2204020202420 4408040404840