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244322000223444 = 22321113171481276763
BaseRepresentation
bin110111100011010110100110…
…000010001011110011010100
31012001001221210021110221112200
4313203112212002023303110
5224010432424024122234
62223343551042044500
7102314452633206213
oct6743264602136324
91161057707427480
10244322000223444
1170937418734830
122349b2a7649730
13a643609380560
14444936837d07a
151d3a598a99d99
hexde35a608bcd4

244322000223444 has 144 divisors (see below), whose sum is σ = 725569156463424. Its totient is φ = 68341172774400.

The previous prime is 244322000223443. The next prime is 244322000223467. The reversal of 244322000223444 is 444322000223442.

244322000223444 is a `hidden beast` number, since 2 + 4 + 4 + 3 + 2 + 200 + 0 + 2 + 2 + 3 + 444 = 666.

244322000223444 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2443220002234442 (a number of 30 digits) contains 22 as substring.

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 = 244322000223399 and 244322000223408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244322000223443) 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, 882645807 + ... + 882922569.

Almost surely, 2244322000223444 is an apocalyptic number.

It is an amenable number.

244322000223444 is an abundant number, since it is smaller than the sum of its proper divisors (481247156239980).

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

244322000223444 is a wasteful number, since it uses less digits than its factorization.

244322000223444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448278 (or 448273 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 244322000223444 its reverse (444322000223442), we get a palindrome (688644000446886).

The spelling of 244322000223444 in words is "two hundred forty-four trillion, three hundred twenty-two billion, two hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 5148 171481 276763 342962 514443 553526 685924 830289 1028886 1107052 1543329 1660578 1886291 2057772 2229253 2490867 3044393 3086658 3321156 3597919 3772582 4458506 4981734 5658873 6088786 6173316 6687759 7195838 7545164 8917012 9133179 9963468 10793757 11317746 12177572 13375518 14391676 16976619 18266358 20063277 21587514 22635492 24521783 26751036 27399537 32381271 33953238 36532716 39577109 40126554 43175028 49043566 54799074 64762542 67906476 73565349 79154218 80253108 98087132 109598148 118731327 129525084 147130698 158308436 220696047 237462654 294261396 356193981 441392094 474925308 712387962 882784188 1424775924 47459596003 94919192006 142378788009 189838384012 284757576018 427136364027 522055556033 569515152036 616974748039 854272728054 1044111112066 1233949496078 1566166668099 1708545456108 1850924244117 2088222224132 2467898992156 3132333336198 3701848488234 4698500004297 5552772732351 6264666672396 6786722228429 7403696976468 9397000008594 11105545464702 13573444456858 18794000017188 20360166685287 22211090929404 27146888913716 40720333370574 61080500055861 81440666741148 122161000111722 244322000223444