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42143433434124 = 223112329478663321
BaseRepresentation
bin10011001010100010010000…
…11000010010010000001100
312112012212120100002021012120
421211101020120102100030
521010434222424342444
6225344232005332540
711606522365446111
oct1145211030222014
9175185510067176
1042143433434124
1112478a25550960
12488781a707150
131a69154b21a39
14a59a78588908
154d13aa079b19
hex26544861240c

42143433434124 has 96 divisors (see below), whose sum is σ = 115798230858240. Its totient is φ = 11794264204800.

The previous prime is 42143433434107. The next prime is 42143433434177.

42143433434124 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239243617 + ... + 239419704.

It is an arithmetic number, because the mean of its divisors is an integer number (1206231571440).

Almost surely, 242143433434124 is an apocalyptic number.

42143433434124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42143433434124 is an abundant number, since it is smaller than the sum of its proper divisors (73654797424116).

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

42143433434124 is a wasteful number, since it uses less digits than its factorization.

42143433434124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478663391 (or 478663389 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 4214343 and 3434124, that added together give a palindrome (7648467).

The spelling of 42143433434124 in words is "forty-two trillion, one hundred forty-three billion, four hundred thirty-three million, four hundred thirty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 23 29 33 44 46 58 66 69 87 92 116 132 138 174 253 276 319 348 506 638 667 759 957 1012 1276 1334 1518 1914 2001 2668 3036 3828 4002 7337 8004 14674 22011 29348 44022 88044 478663321 957326642 1435989963 1914653284 2871979926 5265296531 5743959852 10530593062 11009256383 13881236309 15795889593 21061186124 22018512766 27762472618 31591779186 33027769149 41643708927 44037025532 55524945236 63183558372 66055538298 83287417854 121101820213 132111076596 152693599399 166574835708 242203640426 305387198798 319268435107 363305460639 458080798197 484407280852 610774397596 638536870214 726610921278 916161596394 957805305321 1277073740428 1453221842556 1832323192788 1915610610642 3511952786177 3831221221284 7023905572354 10535858358531 14047811144708 21071716717062 42143433434124