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42142341434424 = 23372113257756759
BaseRepresentation
bin10011001010100000001110…
…10010101000110000111000
312112012202202020021221020020
421211100013102220300320
521010430003401400144
6225343531400130440
711606453335553400
oct1145200722506070
9175182666257206
1042142341434424
1112478515100370
124887574a66a20
131a6900c81267a
14a599b352d800
154d1344274419
hex2654074a8c38

42142341434424 has 96 divisors (see below), whose sum is σ = 133698337430400. Its totient is φ = 10946062706880.

The previous prime is 42142341434423. The next prime is 42142341434491. The reversal of 42142341434424 is 42443414324124.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42142341434423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1628865444 + ... + 1628891315.

It is an arithmetic number, because the mean of its divisors is an integer number (1392691014900).

Almost surely, 242142341434424 is an apocalyptic number.

42142341434424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42142341434424 is an abundant number, since it is smaller than the sum of its proper divisors (91555995995976).

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

42142341434424 is a wasteful number, since it uses less digits than its factorization.

42142341434424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257756793 (or 3257756782 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 42.

Adding to 42142341434424 its reverse (42443414324124), we get a palindrome (84585755758548).

The spelling of 42142341434424 in words is "forty-two trillion, one hundred forty-two billion, three hundred forty-one million, four hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1078 1176 1617 1848 2156 3234 4312 6468 12936 3257756759 6515513518 9773270277 13031027036 19546540554 22804297313 26062054072 35835324349 39093081108 45608594626 68412891939 71670648698 78186162216 91217189252 107505973047 136825783878 143341297396 159630081191 182434378504 215011946094 250847270443 273651567756 286682594792 319260162382 430023892188 478890243573 501694540886 547303135512 638520324764 752541811329 860047784376 957780487146 1003389081772 1277040649528 1505083622658 1755930893101 1915560974292 2006778163544 3010167245316 3511861786202 3831121948584 5267792679303 6020334490632 7023723572404 10535585358606 14047447144808 21071170717212 42142341434424