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42054757890444 = 223313191156824771
BaseRepresentation
bin10011000111111101000101…
…11001111011100110001100
312111220101200101101220121000
421203332202321323212030
521003011121004443234
6225235404500540300
711600233050662205
oct1143764271734614
9174811611356530
1042054757890444
1112444360511472
1248725b13b1690
131a6099251b330
14a556655365ac
154cde1a11e899
hex263fa2e7b98c

42054757890444 has 96 divisors (see below), whose sum is σ = 118032596398080. Its totient is φ = 12872177121600.

The previous prime is 42054757890433. The next prime is 42054757890461. The reversal of 42054757890444 is 44409875745024.

42054757890444 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 475 + 78 + 90 + 4 + 4 + 4 = 666.

It is a super-2 number, since 2×420547578904442 (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 31 ways as a sum of consecutive naturals, for example, 78144222 + ... + 78680549.

It is an arithmetic number, because the mean of its divisors is an integer number (1229506212480).

Almost surely, 242054757890444 is an apocalyptic number.

It is an amenable number.

42054757890444 is an abundant number, since it is smaller than the sum of its proper divisors (75977838507636).

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

42054757890444 is a wasteful number, since it uses less digits than its factorization.

42054757890444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156824988 (or 156824980 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 63.

The spelling of 42054757890444 in words is "forty-two trillion, fifty-four billion, seven hundred fifty-seven million, eight hundred ninety thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 191 234 351 382 468 573 702 764 1146 1404 1719 2292 2483 3438 4966 5157 6876 7449 9932 10314 14898 20628 22347 29796 44694 67041 89388 134082 268164 156824771 313649542 470474313 627299084 940948626 1411422939 1881897252 2038722023 2822845878 4077444046 4234268817 5645691756 6116166069 8154888092 8468537634 12232332138 16937075268 18348498207 24464664276 29953531261 36696996414 55045494621 59907062522 73393992828 89860593783 110090989242 119814125044 179721187566 220181978484 269581781349 359442375132 389395906393 539163562698 778791812786 808745344047 1078327125396 1168187719179 1557583625572 1617490688094 2336375438358 3234981376188 3504563157537 4672750876716 7009126315074 10513689472611 14018252630148 21027378945222 42054757890444