Search a number
-
+
1412001444 = 2237279113269
BaseRepresentation
bin101010000101001…
…0110111010100100
310122101221002211210
41110022112322210
510342433021234
6352040031420
746663546200
oct12412267244
93571832753
101412001444
11665046647
12334a62570
131966c1319
14d5757b00
1583e65be9
hex54296ea4

1412001444 has 144 divisors (see below), whose sum is σ = 3929990400. Its totient is φ = 393329664.

The previous prime is 1412001443. The next prime is 1412001463. The reversal of 1412001444 is 4441002141.

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 1412001444.

It is not an unprimeable number, because it can be changed into a prime (1412001443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5248942 + ... + 5249210.

It is an arithmetic number, because the mean of its divisors is an integer number (27291600).

Almost surely, 21412001444 is an apocalyptic number.

1412001444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1412001444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964995200).

1412001444 is an abundant number, since it is smaller than the sum of its proper divisors (2517988956).

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

1412001444 is a wasteful number, since it uses less digits than its factorization.

1412001444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1412001444 is about 37576.6076701982. The cubic root of 1412001444 is about 1121.8764897201.

Adding to 1412001444 its reverse (4441002141), we get a palindrome (5853003585).

The spelling of 1412001444 in words is "one billion, four hundred twelve million, one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 79 84 98 113 147 158 196 226 237 269 294 316 339 452 474 538 553 588 678 791 807 948 1076 1106 1356 1582 1614 1659 1883 2212 2373 3164 3228 3318 3766 3871 4746 5537 5649 6636 7532 7742 8927 9492 11074 11298 11613 13181 15484 16611 17854 21251 22148 22596 23226 26362 26781 30397 33222 35708 39543 42502 46452 52724 53562 60794 62489 63753 66444 79086 85004 91191 107124 121588 124978 127506 148757 158172 182382 187467 212779 249956 255012 297514 364764 374934 425558 437423 446271 595028 638337 749868 851116 874846 892542 1041299 1276674 1312269 1489453 1749692 1785084 2082598 2401363 2553348 2624538 2978906 3123897 4165196 4468359 4802726 5249076 5957812 6247794 7204089 8936718 9605452 12495588 14408178 16809541 17873436 28816356 33619082 50428623 67238164 100857246 117666787 201714492 235333574 353000361 470667148 706000722 1412001444