Search a number
-
+
444121034214424 = 237149128214151501
BaseRepresentation
bin110010011111011001111110…
…0011110110100110000011000
32011020111120000111002222100211
41210332303330132310300120
5431202434334224330144
64212322215252340504
7162355454150606140
oct14476637436646030
92136446014088324
10444121034214424
1111956874466a016
124198976b914734
13160a75841547a8
147b958038a1920
15365291999a034
hex193ecfc7b4c18

444121034214424 has 64 divisors (see below), whose sum is σ = 958150055592000. Its totient is φ = 189045360960000.

The previous prime is 444121034214397. The next prime is 444121034214503. The reversal of 444121034214424 is 424412430121444.

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, 104902674 + ... + 109054174.

It is an arithmetic number, because the mean of its divisors is an integer number (14971094618625).

Almost surely, 2444121034214424 is an apocalyptic number.

It is an amenable number.

444121034214424 is an abundant number, since it is smaller than the sum of its proper divisors (514029021377576).

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

444121034214424 is a wasteful number, since it uses less digits than its factorization.

444121034214424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4164484 (or 4164480 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 40.

Adding to 444121034214424 its reverse (424412430121444), we get a palindrome (868533464335868).

The spelling of 444121034214424 in words is "four hundred forty-four trillion, one hundred twenty-one billion, thirty-four million, two hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 149 298 596 1043 1192 2086 4172 8344 12821 25642 51284 89747 102568 179494 358988 717976 1910329 3820658 4151501 7641316 8303002 13372303 15282632 16606004 26744606 29060507 33212008 53489212 58121014 106978424 116242028 232484056 618573649 1237147298 2474294596 4330015543 4948589192 8660031086 17320062172 34640124344 53226394321 106452788642 212905577284 372584760247 425811154568 745169520494 1490339040988 2980678081976 7930732753829 15861465507658 31722931015316 55515129276803 63445862030632 111030258553606 222060517107212 444121034214424