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42144213132231 = 3731567371141013
BaseRepresentation
bin10011001010100011101101…
…10110100110001111000111
312112012221120200020000221020
421211101312312212033013
521010442322030212411
6225344441221122223
711606550613665330
oct1145216666461707
9175187520200836
1042144213132231
1112479295685661
1248879b7859373
131a6924a516c72
14a59b0dd4b287
154d1403741606
hex265476da63c7

42144213132231 has 32 divisors (see below), whose sum is σ = 66292584787968. Its totient is φ = 23305124459520.

The previous prime is 42144213132227. The next prime is 42144213132247. The reversal of 42144213132231 is 13223131244124.

It is not a de Polignac number, because 42144213132231 - 22 = 42144213132227 is a prime.

It is a super-2 number, since 2×421442131322312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42144213132192 and 42144213132201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42144213136231) 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, 36365281 + ... + 37506293.

It is an arithmetic number, because the mean of its divisors is an integer number (2071643274624).

Almost surely, 242144213132231 is an apocalyptic number.

42144213132231 is a deficient number, since it is larger than the sum of its proper divisors (24148371655737).

42144213132231 is a wasteful number, since it uses less digits than its factorization.

42144213132231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197791.

The product of its digits is 27648, while the sum is 33.

Adding to 42144213132231 its reverse (13223131244124), we get a palindrome (55367344376355).

The spelling of 42144213132231 in words is "forty-two trillion, one hundred forty-four billion, two hundred thirteen million, one hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 3 7 21 31 93 217 651 56737 170211 397159 1141013 1191477 1758847 3423039 5276541 7987091 12311929 23961273 35371403 36935787 106114209 247599821 742799463 64737654581 194212963743 453163582067 1359490746201 2006867292011 6020601876033 14048071044077 42144213132231