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42011011122444 = 223271320323631003
BaseRepresentation
bin10011000110101011100110…
…11001010000010100001100
312111202012202121010211122100
421203111303121100110030
521001302022321404234
6225203331515515100
711564124006410430
oct1143256331202414
9174665677124570
1042011011122444
1112427851610151
124866022758a90
131a5981014bbb0
14a534b54d29c0
154ccc09734399
hex26357365050c

42011011122444 has 144 divisors (see below), whose sum is σ = 130707561816832. Its totient is φ = 11079264364416.

The previous prime is 42011011122439. The next prime is 42011011122533. The reversal of 42011011122444 is 44422111011024.

42011011122444 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 101 + 112 + 2 + 444 = 666.

It is a super-2 number, since 2×420110111224442 (a number of 28 digits) contains 22 as substring.

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, 66262647 + ... + 66893649.

Almost surely, 242011011122444 is an apocalyptic number.

It is an amenable number.

42011011122444 is an abundant number, since it is smaller than the sum of its proper divisors (88696550694388).

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

42011011122444 is a wasteful number, since it uses less digits than its factorization.

42011011122444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651356 (or 651351 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 42011011122444 its reverse (44422111011024), we get a palindrome (86433122133468).

The spelling of 42011011122444 in words is "forty-two trillion, eleven billion, eleven million, one hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 20323 40646 60969 81292 121938 142261 182907 243876 264199 284522 365814 426783 528398 569044 631003 731628 792597 853566 1056796 1262006 1280349 1585194 1707132 1849393 1893009 2377791 2524012 2560698 3170388 3698786 3786018 4417021 4755582 5121396 5548179 5679027 7397572 7572036 8203039 8834042 9511164 11096358 11358054 13251063 16406078 16644537 17668084 22192716 22716108 24609117 26502126 32812156 33289074 39753189 49218234 53004252 57421273 66578148 73827351 79506378 98436468 114842546 147654702 159012756 172263819 229685092 295309404 344527638 516791457 689055276 1033582914 2067165828 12823873969 25647747938 38471621907 51295495876 76943243814 89767117783 115414865721 153886487628 166710361597 179534235566 230829731442 269301353349 333420723194 359068471132 461659462884 500131084791 538602706698 666841446388 807904060047 1000262169582 1077205413396 1166972531179 1500393254373 1615808120094 2000524339164 2333945062358 3000786508746 3231616240188 3500917593537 4667890124716 6001573017492 7001835187074 10502752780611 14003670374148 21005505561222 42011011122444