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42130241314440 = 2335536624251779
BaseRepresentation
bin10011001010001001101100…
…00100010101111010001000
312112011121111221210011002020
421211010312010111322020
521010230213234030230
6225334210552404440
711605544440334556
oct1145046604257210
9175147457704066
1042130241314440
1112473375986104
1248851586a6720
131a67b319c4866
14a591864ccbd6
154d0d86d28810
hex265136115e88

42130241314440 has 64 divisors (see below), whose sum is σ = 128775454603200. Its totient is φ = 11022754958592.

The previous prime is 42130241314417. The next prime is 42130241314463. The reversal of 42130241314440 is 4441314203124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42130241314417) and next prime (42130241314463).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3312119530 + ... + 3312132249.

It is an arithmetic number, because the mean of its divisors is an integer number (2012116478175).

Almost surely, 242130241314440 is an apocalyptic number.

42130241314440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42130241314440 is an abundant number, since it is smaller than the sum of its proper divisors (86645213288760).

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

42130241314440 is a wasteful number, since it uses less digits than its factorization.

42130241314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6624251846 (or 6624251842 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 42130241314440 its reverse (4441314203124), we get a palindrome (46571555517564).

The spelling of 42130241314440 in words is "forty-two trillion, one hundred thirty billion, two hundred forty-one million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 6624251779 13248503558 19872755337 26497007116 33121258895 39745510674 52994014232 66242517790 79491021348 99363776685 132485035580 158982042696 198727553370 264970071160 351085344287 397455106740 702170688574 794910213480 1053256032861 1404341377148 1755426721435 2106512065722 2808682754296 3510853442870 4213024131444 5266280164305 7021706885740 8426048262888 10532560328610 14043413771480 21065120657220 42130241314440