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42341244214324 = 2211171959913013823
BaseRepresentation
bin10011010000010010101101…
…10100100001110000110100
312112220210011002222001201011
421220021112310201300310
521022204332004324244
6230015144333042004
711630024334363106
oct1150112664416064
9175823132861634
1042341244214324
11125449035858a0
1248ba025026304
131a819ba715283
14a654819d7576
154d65d6211434
hex268256d21c34

42341244214324 has 192 divisors, whose sum is σ = 90336218112000. Its totient is φ = 17114243328000.

The previous prime is 42341244214303. The next prime is 42341244214333.

42341244214324 is nontrivially palindromic in base 10.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 11075395477 + ... + 11075399299.

It is an arithmetic number, because the mean of its divisors is an integer number (470501136000).

Almost surely, 242341244214324 is an apocalyptic number.

42341244214324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42341244214324 is an abundant number, since it is smaller than the sum of its proper divisors (47994973897676).

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

42341244214324 is a wasteful number, since it uses less digits than its factorization.

42341244214324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5774 (or 5772 counting only the distinct ones).

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

It can be divided in two parts, 4234124 and 4214324, that added together give a palindrome (8448448).

The spelling of 42341244214324 in words is "forty-two trillion, three hundred forty-one billion, two hundred forty-four million, two hundred fourteen thousand, three hundred twenty-four".