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142041324411 = 3372237016659
BaseRepresentation
bin1000010001001001010…
…0101001101101111011
3111120122002210220102000
42010102110221231323
54311400034340121
6145130342312043
713155626223300
oct2042224515573
9446562726360
10142041324411
115526a696408
1223641428623
131051877796c
146c367a30a7
153a65048526
hex2112529b7b

142041324411 has 96 divisors (see below), whose sum is σ = 255833510400. Its totient is φ = 77515099200.

The previous prime is 142041324409. The next prime is 142041324421. The reversal of 142041324411 is 114423140241.

142041324411 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 413 + 244 + 1 + 1 = 666.

It is not a de Polignac number, because 142041324411 - 21 = 142041324409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (142041324421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21327400 + ... + 21334058.

It is an arithmetic number, because the mean of its divisors is an integer number (2664932400).

Almost surely, 2142041324411 is an apocalyptic number.

142041324411 is a deficient number, since it is larger than the sum of its proper divisors (113792185989).

142041324411 is a wasteful number, since it uses less digits than its factorization.

142041324411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7406 (or 7393 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 142041324411 its reverse (114423140241), we get a palindrome (256464464652).

The spelling of 142041324411 in words is "one hundred forty-two billion, forty-one million, three hundred twenty-four thousand, four hundred eleven".

Divisors: 1 3 7 9 21 23 27 49 63 69 147 161 189 207 441 483 621 701 1127 1323 1449 2103 3381 4347 4907 6309 6659 10143 14721 16123 18927 19977 30429 34349 44163 46613 48369 59931 103047 112861 132489 139839 145107 153157 179793 309141 326291 338583 419517 435321 459471 790027 927423 978873 1015749 1072099 1258551 1378413 2370081 2936619 3047247 3216297 4135239 4667959 7110243 7504693 8809857 9648891 14003877 21330729 22514079 28946673 32675713 42011631 67542237 98027139 107363057 126034893 202626711 228729991 294081417 322089171 686189973 751541399 882244251 966267513 2058569919 2254624197 2898802539 5260789793 6175709757 6763872591 15782369379 20291617773 47347108137 142041324411