Search a number
-
+
444100411304214 = 23721510545616681
BaseRepresentation
bin110010011111010000010111…
…1010000101010100100010110
32011020102120210020110120221120
41210332200233100222210112
5431202120120243213324
64212304525032024410
7162354124123013400
oct14476405720524426
92136376706416846
10444100411304214
1111955aa21564375
1241985775232106
13160a56486bc342
147b9480898bb70
15365210e1d8179
hex193e82f42a916

444100411304214 has 24 divisors (see below), whose sum is σ = 1033213201810488. Its totient is φ = 126885831801120.

The previous prime is 444100411304201. The next prime is 444100411304219. The reversal of 444100411304214 is 412403114001444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444100411304219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 755272808047 + ... + 755272808634.

It is an arithmetic number, because the mean of its divisors is an integer number (43050550075437).

Almost surely, 2444100411304214 is an apocalyptic number.

444100411304214 is an abundant number, since it is smaller than the sum of its proper divisors (589112790506274).

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

444100411304214 is a wasteful number, since it uses less digits than its factorization.

444100411304214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510545616700 (or 1510545616693 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 444100411304214 its reverse (412403114001444), we get a palindrome (856503525305658).

The spelling of 444100411304214 in words is "four hundred forty-four trillion, one hundred billion, four hundred eleven million, three hundred four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 1510545616681 3021091233362 4531636850043 9063273700086 10573819316767 21147638633534 31721457950301 63442915900602 74016735217369 148033470434738 222050205652107 444100411304214