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135435522324042 = 236179756331901
BaseRepresentation
bin11110110010110110001010…
…001100101011011001001010
3122202112111202102012211000000
4132302312022030223121022
5120222433422203332132
61200014115305223430
740345615333143603
oct3662661214533112
9582474672184000
10135435522324042
113a176978611986
121323438a491b76
135a7569047b725
14256318573adaa
15109cec701b87c
hex7b2d8a32b64a

135435522324042 has 112 divisors (see below), whose sum is σ = 325832508944712. Its totient is φ = 42051538022400.

The previous prime is 135435522324041. The next prime is 135435522324061. The reversal of 135435522324042 is 240423225534531.

It is a happy number.

135435522324042 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 3 + 5 + 5 + 2 + 232 + 404 + 2 = 666.

135435522324042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 135405316231641 + 30206092401 = 11636379^2 + 173799^2 .

It is not an unprimeable number, because it can be changed into a prime (135435522324041) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 25761709 + ... + 30570192.

Almost surely, 2135435522324042 is an apocalyptic number.

135435522324042 is an abundant number, since it is smaller than the sum of its proper divisors (190396986620670).

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

135435522324042 is an equidigital number, since it uses as much as digits as its factorization.

135435522324042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56332035 (or 56332020 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 135435522324042 its reverse (240423225534531), we get a palindrome (375858747858573).

The spelling of 135435522324042 in words is "one hundred thirty-five trillion, four hundred thirty-five billion, five hundred twenty-two million, three hundred twenty-four thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 97 102 153 162 194 243 291 306 459 486 582 729 873 918 1377 1458 1649 1746 2619 2754 3298 4131 4947 5238 7857 8262 9894 12393 14841 15714 23571 24786 29682 44523 47142 70713 89046 133569 141426 267138 400707 801414 1202121 2404242 56331901 112663802 168995703 337991406 506987109 957642317 1013974218 1520961327 1915284634 2872926951 3041922654 4562883981 5464194397 5745853902 8618780853 9125767962 10928388794 13688651943 16392583191 17237561706 25856342559 27377303886 32785166382 41065955829 49177749573 51712685118 77569027677 82131911658 92891304749 98355499146 147533248719 155138055354 185782609498 232707083031 278673914247 295066497438 442599746157 465414166062 557347828494 698121249093 836021742741 885199492314 1327799238471 1396242498186 1672043485482 2508065228223 2655598476942 3983397715413 5016130456446 7524195684669 7966795430826 15048391369338 22572587054007 45145174108014 67717761162021 135435522324042