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42231101434431 = 37134713923678659
BaseRepresentation
bin10011001101000101100011…
…10011001010101000111111
312112112020212001220010010220
421212202301303022220333
521013403243431400211
6225452411123032423
711616045030243540
oct1146426163125077
9175466761803126
1042231101434431
1112502122885078
1248a080650b713
131a744b6776930
14a5ddd38884c7
154d37db813806
hex2668b1ccaa3f

42231101434431 has 64 divisors (see below), whose sum is σ = 71286026649600. Its totient is φ = 21644945421696.

The previous prime is 42231101434399. The next prime is 42231101434441. The reversal of 42231101434431 is 13443410113224.

It is a happy number.

It is not a de Polignac number, because 42231101434431 - 25 = 42231101434399 is a prime.

It is a super-2 number, since 2×422311014344312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42231101434392 and 42231101434401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42231101434441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10055821 + ... + 13622838.

It is an arithmetic number, because the mean of its divisors is an integer number (1113844166400).

Almost surely, 242231101434431 is an apocalyptic number.

42231101434431 is a deficient number, since it is larger than the sum of its proper divisors (29054925215169).

42231101434431 is a wasteful number, since it uses less digits than its factorization.

42231101434431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23678868.

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

Adding to 42231101434431 its reverse (13443410113224), we get a palindrome (55674511547655).

The spelling of 42231101434431 in words is "forty-two trillion, two hundred thirty-one billion, one hundred one million, four hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 13 21 39 47 91 139 141 273 329 417 611 973 987 1807 1833 2919 4277 5421 6533 12649 12831 19599 37947 45731 84929 137193 254787 594503 1783509 23678659 71035977 165750613 307822567 497251839 923467701 1112896973 2154757969 3291333601 3338690919 6464273907 7790278811 9874000803 14467660649 23039335207 23370836433 42787336813 43402981947 69118005621 101273624543 128362010439 154692679247 299511357691 303820873629 464078037741 898534073073 1082848754729 2011004830211 3248546264187 6033014490633 14077033811477 42231101434431