Search a number
-
+
441454215021440 = 2751039966330629
BaseRepresentation
bin110010001100000000001000…
…1101010111100001110000000
32010220001121111021022100222012
41210120000101222330032000
5430330241213021141230
64202521133334032052
7161662004660515205
oct14430002152741600
92126047437270865
10441454215021440
1111872a754767aa5
124161894b4a8628
1315c42c527c710a
147b026d8785cac
1536083858ea395
hex1918011abc380

441454215021440 has 64 divisors (see below), whose sum is σ = 1055452984560000. Its totient is φ = 176564702705664.

The previous prime is 441454215021419. The next prime is 441454215021487. The reversal of 441454215021440 is 44120512454144.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26509955 + ... + 39820674.

It is an arithmetic number, because the mean of its divisors is an integer number (16491452883750).

Almost surely, 2441454215021440 is an apocalyptic number.

441454215021440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441454215021440 is an abundant number, since it is smaller than the sum of its proper divisors (613998769538560).

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

441454215021440 is a wasteful number, since it uses less digits than its factorization.

441454215021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66341047 (or 66341035 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 41.

Adding to 441454215021440 its reverse (44120512454144), we get a palindrome (485574727475584).

The spelling of 441454215021440 in words is "four hundred forty-one trillion, four hundred fifty-four billion, two hundred fifteen million, twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 10399 20798 41596 51995 83192 103990 166384 207980 332768 415960 665536 831920 1331072 1663840 3327680 6655360 66330629 132661258 265322516 331653145 530645032 663306290 1061290064 1326612580 2122580128 2653225160 4245160256 5306450320 8490320512 10612900640 21225801280 42451602560 689772210971 1379544421942 2759088843884 3448861054855 5518177687768 6897722109710 11036355375536 13795444219420 22072710751072 27590888438840 44145421502144 55181776877680 88290843004288 110363553755360 220727107510720 441454215021440