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42440212110100 = 225271731711250487
BaseRepresentation
bin10011010011001011000011…
…10001000101101100010100
312120021020121100112002010111
421221211201301011230110
521030320023300010400
6230132433030332404
711640130006536310
oct1151454161055424
9176236540462114
1042440212110100
111258287a35a7a2
1249152451ba104
131a8b130456b4c
14a6a18d950b40
154d8e79a273ba
hex269961c45b14

42440212110100 has 144 divisors (see below), whose sum is σ = 111794569189632. Its totient is φ = 13651789731840.

The previous prime is 42440212110091. The next prime is 42440212110133. The reversal of 42440212110100 is 101121204424.

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, 1852944 + ... + 9397543.

It is an arithmetic number, because the mean of its divisors is an integer number (776351174928).

Almost surely, 242440212110100 is an apocalyptic number.

It is an amenable number.

42440212110100 is an abundant number, since it is smaller than the sum of its proper divisors (69354357079532).

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

42440212110100 is a wasteful number, since it uses less digits than its factorization.

42440212110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11250842 (or 11250835 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 42440212110100 its reverse (101121204424), we get a palindrome (42541333314524).

The spelling of 42440212110100 in words is "forty-two trillion, four hundred forty billion, two hundred twelve million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 317 340 350 425 476 595 634 700 850 1190 1268 1585 1700 2219 2380 2975 3170 4438 5389 5950 6340 7925 8876 10778 11095 11900 15850 21556 22190 26945 31700 37723 44380 53890 55475 75446 107780 110950 134725 150892 188615 221900 269450 377230 538900 754460 943075 1886150 3772300 11250487 22500974 45001948 56252435 78753409 112504870 157506818 191258279 225009740 281262175 315013636 382516558 393767045 562524350 765033116 787534090 956291395 1125048700 1338807953 1575068180 1912582790 1968835225 2677615906 3566404379 3825165580 3937670450 4781456975 5355231812 6694039765 7132808758 7875340900 9562913950 13388079530 14265617516 17832021895 19125827900 24964830653 26776159060 33470198825 35664043790 49929661306 60628874443 66940397650 71328087580 89160109475 99859322612 121257748886 124824153265 133880795300 178320218950 242515497772 249648306530 303144372215 356640437900 424402121101 499296613060 606288744430 624120766325 848804242202 1212577488860 1248241532650 1515721861075 1697608484404 2122010605505 2496483065300 3031443722150 4244021211010 6062887444300 8488042422020 10610053027525 21220106055050 42440212110100