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444111213 = 37132172433
BaseRepresentation
bin11010011110001…
…001100101101101
31010221200012001110
4122132021211231
51402143024323
6112022502233
714001611610
oct3236114555
91127605043
10444111213
11208764367
12104894979
1371017500
1442da8177
1528ec8793
hex1a78996d

444111213 has 72 divisors (see below), whose sum is σ = 780241728. Its totient is φ = 219967488.

The previous prime is 444111211. The next prime is 444111223. The reversal of 444111213 is 312111444.

It is not a de Polignac number, because 444111213 - 21 = 444111211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 444111213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444111211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1025445 + ... + 1025877.

Almost surely, 2444111213 is an apocalyptic number.

It is an amenable number.

444111213 is a deficient number, since it is larger than the sum of its proper divisors (336130515).

444111213 is a wasteful number, since it uses less digits than its factorization.

444111213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 473 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 444111213 is about 21073.9463081787. The cubic root of 444111213 is about 762.9520532915.

Adding to 444111213 its reverse (312111444), we get a palindrome (756222657).

The spelling of 444111213 in words is "four hundred forty-four million, one hundred eleven thousand, two hundred thirteen".

Divisors: 1 3 7 13 17 21 39 51 91 119 169 221 273 289 357 433 507 663 867 1183 1299 1547 2023 2873 3031 3549 3757 4641 5629 6069 7361 8619 9093 11271 16887 20111 22083 26299 39403 48841 51527 60333 73177 78897 95693 118209 125137 146523 154581 219531 287079 341887 375411 512239 669851 875959 1025661 1244009 1536717 1626781 2009553 2627877 3732027 4880343 8708063 11387467 21148153 26124189 34162401 63444459 148037071 444111213