Search a number
-
+
444302040024210 = 235103167861000407
BaseRepresentation
bin110010100000101110010000…
…1010001001100010010010010
32011021010212020002110211020210
41211001130201101030102102
5431213421034221233320
64212541312303144550
7162404522511605244
oct14501344121142222
92137125202424223
10444302040024210
11119628489732a55
12419b88662a5156
13160bb66c28b754
147ba04950bc094
1536574b06310e0
hex194172144c492

444302040024210 has 64 divisors (see below), whose sum is σ = 1083124737257472. Its totient is φ = 116627670995136.

The previous prime is 444302040024203. The next prime is 444302040024287. The reversal of 444302040024210 is 12420040203444.

It is a super-2 number, since 2×4443020400242102 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429984174 + ... + 431016233.

It is an arithmetic number, because the mean of its divisors is an integer number (16923824019648).

Almost surely, 2444302040024210 is an apocalyptic number.

444302040024210 is an abundant number, since it is smaller than the sum of its proper divisors (638822697233262).

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

444302040024210 is a wasteful number, since it uses less digits than its factorization.

444302040024210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861000687.

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 444302040024210 its reverse (12420040203444), we get a palindrome (456722080227654).

The spelling of 444302040024210 in words is "four hundred forty-four trillion, three hundred two billion, forty million, twenty-four thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 103 167 206 309 334 501 515 618 835 1002 1030 1545 1670 2505 3090 5010 17201 34402 51603 86005 103206 172010 258015 516030 861000407 1722000814 2583001221 4305002035 5166002442 8610004070 12915006105 25830012210 88683041921 143787067969 177366083842 266049125763 287574135938 431361203907 443415209605 532098251526 718935339845 862722407814 886830419210 1330245628815 1437870679690 2156806019535 2660491257630 4313612039070 14810068000807 29620136001614 44430204002421 74050340004035 88860408004842 148100680008070 222151020012105 444302040024210