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42423411432424 = 23115972191131863
BaseRepresentation
bin10011010010101011110000…
…10111100101101111101000
312120012122020111002020001011
421221111320113211233220
521030031121311314144
6230121013545433304
711635663453250611
oct1151257027455750
9176178214066034
1042423411432424
1112576738860a10
124911b3679b834
131a89683841459
14a69438518c08
154d87e4ac3a34
hex2695785e5be8

42423411432424 has 64 divisors (see below), whose sum is σ = 88258227264000. Its totient is φ = 18953889405120.

The previous prime is 42423411432421. The next prime is 42423411432443.

42423411432424 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42423411432421) 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, 36915117 + ... + 38046979.

It is an arithmetic number, because the mean of its divisors is an integer number (1379034801000).

Almost surely, 242423411432424 is an apocalyptic number.

42423411432424 is a gapful number since it is divisible by the number (44) 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 42423411432424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44129113632000).

42423411432424 is an abundant number, since it is smaller than the sum of its proper divisors (45834815831576).

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

42423411432424 is a wasteful number, since it uses less digits than its factorization.

42423411432424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139158 (or 1139154 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

It can be divided in two parts, 4242341 and 1432424, that added together give a palindrome (5674765).

The spelling of 42423411432424 in words is "forty-two trillion, four hundred twenty-three billion, four hundred eleven million, four hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 472 649 1298 2596 5192 7219 14438 28876 57752 79409 158818 317636 425921 635272 851842 1131863 1703684 2263726 3407368 4527452 4685131 9054904 9370262 12450493 18740524 24900986 37481048 49801972 66779917 99603944 133559834 267119668 534239336 734579087 1469158174 2938316348 5876632696 8170918997 16341837994 32683675988 65367351976 89880108967 179760217934 359520435868 482084220823 719040871736 964168441646 1928336883292 3856673766584 5302926429053 10605852858106 21211705716212 42423411432424