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42463133136424 = 23711135992188493
BaseRepresentation
bin10011010011110101101111…
…11101110111011000101000
312120100102202202110212012101
421221322313331313120220
521031203444040331144
6230151143303423144
711641601011206040
oct1151726775673050
9176312682425171
1042463133136424
111259157170a060
124919781454ab4
131a90344054b10
14a6b325b62720
154d986be376d4
hex269eb7f77628

42463133136424 has 128 divisors (see below), whose sum is σ = 106903187354880. Its totient is φ = 15271029043200.

The previous prime is 42463133136421. The next prime is 42463133136469.

42463133136424 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42463133136421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479803122 + ... + 479891614.

It is an arithmetic number, because the mean of its divisors is an integer number (835181151210).

Almost surely, 242463133136424 is an apocalyptic number.

42463133136424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42463133136424 is an abundant number, since it is smaller than the sum of its proper divisors (64440054218456).

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

42463133136424 is a wasteful number, since it uses less digits than its factorization.

42463133136424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148451 (or 148447 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 46.

The spelling of 42463133136424 in words is "forty-two trillion, four hundred sixty-three billion, one hundred thirty-three million, one hundred thirty-six thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 59921 88493 119842 176986 239684 353972 419447 479368 619451 659131 707944 778973 838894 973423 1150409 1238902 1318262 1557946 1677788 1946846 2300818 2477804 2636524 3115892 3355576 3893692 4601636 4613917 4955608 5273048 5452811 6231784 6813961 7787384 8052863 8568703 9203272 9227834 10905622 12654499 13627922 16105726 17137406 18455668 21811244 25308998 27255844 32211452 34274812 36911336 43622488 50617996 54511688 59980921 64422904 68549624 88581493 101235992 119961842 177162986 239923684 354325972 479847368 708651944 5302589053 10605178106 21210356212 37118123371 42420712424 58328479583 68933657689 74236246742 116656959166 137867315378 148472493484 233313918332 275734630756 296944986968 408299357081 466627836664 482535603823 551469261512 758270234579 816598714162 965071207646 1516540469158 1633197428324 1930142415292 3033080938316 3266394856648 3860284830584 5307891642053 6066161876632 10615783284106 21231566568212 42463133136424