Search a number
-
+
2441322500304 = 243101547920609
BaseRepresentation
bin100011100001101010001…
…010010001000011010000
322122101110221222201211010
4203201222022101003100
5304444312030002204
65105310021450520
7341244150601632
oct43415212210320
98571427881733
102441322500304
118613a49a7286
12335189b70a40
131492a5c3a40c
1486236b1aa52
1543787544d89
hex2386a2910d0

2441322500304 has 80 divisors (see below), whose sum is σ = 6380843653440. Its totient is φ = 804243148800.

The previous prime is 2441322500293. The next prime is 2441322500377. The reversal of 2441322500304 is 4030052231442.

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, 2191552 + ... + 3112160.

It is an arithmetic number, because the mean of its divisors is an integer number (79760545668).

Almost surely, 22441322500304 is an apocalyptic number.

2441322500304 is a gapful number since it is divisible by the number (24) 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 2441322500304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3190421826720).

2441322500304 is an abundant number, since it is smaller than the sum of its proper divisors (3939521153136).

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

2441322500304 is a wasteful number, since it uses less digits than its factorization.

2441322500304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921268 (or 921262 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 2441322500304 its reverse (4030052231442), we get a palindrome (6471374731746).

The spelling of 2441322500304 in words is "two trillion, four hundred forty-one billion, three hundred twenty-two million, five hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 547 606 808 1094 1212 1616 1641 2188 2424 3282 4376 4848 6564 8752 13128 26256 55247 110494 165741 220988 331482 441976 662964 883952 920609 1325928 1841218 2651856 2761827 3682436 5523654 7364872 11047308 14729744 22094616 44189232 92981509 185963018 278944527 371926036 503573123 557889054 743852072 1007146246 1115778108 1487704144 1510719369 2014292492 2231556216 3021438738 4028584984 4463112432 6042877476 8057169968 12085754952 24171509904 50860885423 101721770846 152582656269 203443541692 305165312538 406887083384 610330625076 813774166768 1220661250152 2441322500304