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24343800834342 = 23113141290200997
BaseRepresentation
bin1011000100011111110111…
…00110011110100100100110
310012012020121100002011100210
411202033323212132210212
511142322101003144332
6123435215425120250
75061532035634023
oct542177346364446
9105166540064323
1024343800834342
117836169a25050
122891ba9789086
1310777c255a712
146023639b854a
152c3388a19ecc
hex1623fb99e926

24343800834342 has 64 divisors (see below), whose sum is σ = 56164340348928. Its totient is φ = 6964823904000.

The previous prime is 24343800834317. The next prime is 24343800834347.

It is a happy number.

24343800834342 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×243438008343422 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24343800834291 and 24343800834300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24343800834347) 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, 145016613 + ... + 145184384.

It is an arithmetic number, because the mean of its divisors is an integer number (877567817952).

Almost surely, 224343800834342 is an apocalyptic number.

24343800834342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24343800834342 is an abundant number, since it is smaller than the sum of its proper divisors (31820539514586).

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

24343800834342 is a wasteful number, since it uses less digits than its factorization.

24343800834342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290201085.

The product of its (nonzero) digits is 5308416, while the sum is 48.

The spelling of 24343800834342 in words is "twenty-four trillion, three hundred forty-three billion, eight hundred million, eight hundred thirty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 41 62 66 82 93 123 186 246 341 451 682 902 1023 1271 1353 2046 2542 2706 3813 7626 13981 27962 41943 83886 290200997 580401994 870602991 1741205982 3192210967 6384421934 8996230907 9576632901 11898240877 17992461814 19153265802 23796481754 26988692721 35694722631 53977385442 71389445262 98958539977 130880649647 197917079954 261761299294 296875619931 368845467187 392641948941 593751239862 737690934374 785283897882 1106536401561 2213072803122 4057300139057 8114600278114 12171900417171 24343800834342