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11444213420244 = 22321137978052251
BaseRepresentation
bin1010011010001001000001…
…0001101001000011010100
31111112001111220120111210100
42212202100101221003110
53000000222113421434
640201222110454100
72260550164022223
oct246422021510324
944461456514710
1011444213420244
113712511142340
121349b6bb04330
13650252a0bc07
142b7c8d732cba
1514ca5491a699
hexa68904690d4

11444213420244 has 144 divisors (see below), whose sum is σ = 32745352401216. Its totient is φ = 3339429120000.

The previous prime is 11444213420221. The next prime is 11444213420251. The reversal of 11444213420244 is 44202431244411.

11444213420244 is a `hidden beast` number, since 1 + 1 + 4 + 442 + 1 + 3 + 4 + 202 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11444213420199 and 11444213420208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2604882 + ... + 5447369.

It is an arithmetic number, because the mean of its divisors is an integer number (227398280564).

Almost surely, 211444213420244 is an apocalyptic number.

It is an amenable number.

11444213420244 is an abundant number, since it is smaller than the sum of its proper divisors (21301138980972).

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

11444213420244 is a wasteful number, since it uses less digits than its factorization.

11444213420244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8052406 (or 8052401 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 11444213420244 its reverse (44202431244411), we get a palindrome (55646644664655).

The spelling of 11444213420244 in words is "eleven trillion, four hundred forty-four billion, two hundred thirteen million, four hundred twenty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 97 99 111 132 148 194 198 222 291 333 388 396 407 444 582 666 814 873 1067 1164 1221 1332 1628 1746 2134 2442 3201 3492 3589 3663 4268 4884 6402 7178 7326 9603 10767 12804 14356 14652 19206 21534 32301 38412 39479 43068 64602 78958 118437 129204 157916 236874 355311 473748 710622 1421244 8052251 16104502 24156753 32209004 48313506 72470259 88574761 96627012 144940518 177149522 265724283 289881036 297933287 354299044 531448566 595866574 781068347 797172849 893799861 1062897132 1191733148 1562136694 1594345698 1787599722 2343205041 2681399583 3124273388 3188691396 3277266157 3575199444 4686410082 5362799166 6554532314 7029615123 8591751817 9372820164 9831798471 10725598332 13109064628 14059230246 17183503634 19663596942 25775255451 28118460492 28899528839 29495395413 34367007268 39327193884 51550510902 57799057678 58990790826 77325766353 86698586517 103101021804 115598115356 117981581652 154651532706 173397173034 260095759551 309303065412 317894817229 346794346068 520191519102 635789634458 953684451687 1040383038204 1271579268916 1907368903374 2861053355061 3814737806748 5722106710122 11444213420244