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42130424104000 = 26537437087891
BaseRepresentation
bin10011001010001010000001…
…11101101000010001000000
312112011121222200201211012221
421211011000331220101000
521010231102032312000
6225334241042300424
711605552120122001
oct1145050075502100
9175147880654187
1042130424104000
111247345a083661
1248851a9957714
131a67b6083436b
14a591a28b11a8
154d0d97dd361a
hex265140f68440

42130424104000 has 112 divisors (see below), whose sum is σ = 104476435330176. Its totient is φ = 16829486016000.

The previous prime is 42130424103983. The next prime is 42130424104007. The reversal of 42130424104000 is 40142403124.

It is a super-3 number, since 3×421304241040003 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (42130424104007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2400055 + ... + 9487945.

It is an arithmetic number, because the mean of its divisors is an integer number (932825315448).

Almost surely, 242130424104000 is an apocalyptic number.

42130424104000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42130424104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52238217665088).

42130424104000 is an abundant number, since it is smaller than the sum of its proper divisors (62346011226176).

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

42130424104000 is an equidigital number, since it uses as much as digits as its factorization.

42130424104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7088661 (or 7088641 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 42130424104000 its reverse (40142403124), we get a palindrome (42170566507124).

The spelling of 42130424104000 in words is "forty-two trillion, one hundred thirty billion, four hundred twenty-four million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 743 800 1000 1486 1600 2000 2972 3715 4000 5944 7430 8000 11888 14860 18575 23776 29720 37150 47552 59440 74300 92875 118880 148600 185750 237760 297200 371500 594400 743000 1188800 1486000 2972000 5944000 7087891 14175782 28351564 35439455 56703128 70878910 113406256 141757820 177197275 226812512 283515640 354394550 453625024 567031280 708789100 885986375 1134062560 1417578200 1771972750 2268125120 2835156400 3543945500 5266303013 5670312800 7087891000 10532606026 11340625600 14175782000 21065212052 26331515065 28351564000 42130424104 52663030130 56703128000 84260848208 105326060260 131657575325 168521696416 210652120520 263315150650 337043392832 421304241040 526630301300 658287876625 842608482080 1053260602600 1316575753250 1685216964160 2106521205200 2633151506500 4213042410400 5266303013000 8426084820800 10532606026000 21065212052000 42130424104000