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35042134036 = 227131941123581
BaseRepresentation
bin100000101000101011…
…001000100000010100
310100110010221211222011
4200220223020200110
51033231241242121
624033110314004
72350243140040
oct405053104024
9110403854864
1035042134036
1113952409a58
12695b658904
1333c5b86970
1419a5d57020
15da16047e1
hex828ac8814

35042134036 has 96 divisors (see below), whose sum is σ = 81386161920. Its totient is φ = 12812774400.

The previous prime is 35042133947. The next prime is 35042134069. The reversal of 35042134036 is 63043124053.

It is a junction number, because it is equal to n+sod(n) for n = 35042133989 and 35042134007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221766 + ... + 345346.

It is an arithmetic number, because the mean of its divisors is an integer number (847772520).

Almost surely, 235042134036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35042134036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40693080960).

35042134036 is an abundant number, since it is smaller than the sum of its proper divisors (46344027884).

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

35042134036 is a wasteful number, since it uses less digits than its factorization.

35042134036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123665 (or 123663 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 35042134036 its reverse (63043124053), we get a palindrome (98085258089).

The spelling of 35042134036 in words is "thirty-five billion, forty-two million, one hundred thirty-four thousand, thirty-six".

Divisors: 1 2 4 7 13 14 19 26 28 38 41 52 76 82 91 133 164 182 247 266 287 364 494 532 533 574 779 988 1066 1148 1558 1729 2132 3116 3458 3731 5453 6916 7462 10127 10906 14924 20254 21812 40508 70889 123581 141778 247162 283556 494324 865067 1606553 1730134 2348039 3213106 3460268 4696078 5066821 6426212 9392156 10133642 11245871 16436273 20267284 22491742 30524507 32872546 35467747 44983484 61049014 65745092 65868673 70935494 96269599 122098028 131737346 141870988 192539198 213671549 263474692 385078396 427343098 461080711 673887193 854686196 922161422 1251504787 1347774386 1844322844 2503009574 2695548772 5006019148 8760533509 17521067018 35042134036