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10042010342334 = 2321494752778781
BaseRepresentation
bin1001001000100001011001…
…1101011001001110111110
31022120000011222002202120100
42102020112131121032332
52304012014121423314
633205122540301530
72054340243353415
oct222102635311676
938500158082510
1010042010342334
11322187a053003
121162260b418a6
1357ac5a866759
1426a0706c847c
15126338181c09
hex922167593be

10042010342334 has 48 divisors (see below), whose sum is σ = 21904452741600. Its totient is φ = 3324759272640.

The previous prime is 10042010342323. The next prime is 10042010342341. The reversal of 10042010342334 is 43324301024001.

10042010342334 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 201 + 0 + 3 + 423 + 34 = 666.

10042010342334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10042010342298 and 10042010342307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127428024 + ... + 127506804.

It is an arithmetic number, because the mean of its divisors is an integer number (456342765450).

Almost surely, 210042010342334 is an apocalyptic number.

10042010342334 is an abundant number, since it is smaller than the sum of its proper divisors (11862442399266).

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

10042010342334 is a wasteful number, since it uses less digits than its factorization.

10042010342334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126465 (or 126462 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10042010342334 its reverse (43324301024001), we get a palindrome (53366311366335).

The spelling of 10042010342334 in words is "ten trillion, forty-two billion, ten million, three hundred forty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 149 298 447 894 1341 2682 47527 78781 95054 142581 157562 236343 285162 427743 472686 709029 855486 1418058 7081523 11738369 14163046 21244569 23476738 35215107 42489138 63733707 70430214 105645321 127467414 211290642 3744224587 7488449174 11232673761 22465347522 33698021283 67396042566 557889463463 1115778926926 1673668390389 3347336780778 5021005171167 10042010342334