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10142410040322 = 2374124977235813
BaseRepresentation
bin1001001110010111011010…
…1111110110010000000010
31022220121022222211212101020
42103211312233312100002
52312133123432242242
633323205302250310
72064523242615240
oct223456657662002
938817288755336
1010142410040322
11326041006811a
121179800726996
1358756b110181
14270c76871790
15128c625206ec
hex93976bf6402

10142410040322 has 64 divisors (see below), whose sum is σ = 23749133554944. Its totient is φ = 2827027445760.

The previous prime is 10142410040297. The next prime is 10142410040417. The reversal of 10142410040322 is 22304001424101.

10142410040322 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 = 10142410040292 and 10142410040301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42892488 + ... + 43128300.

It is an arithmetic number, because the mean of its divisors is an integer number (371080211796).

Almost surely, 210142410040322 is an apocalyptic number.

10142410040322 is an abundant number, since it is smaller than the sum of its proper divisors (13606723514622).

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

10142410040322 is a wasteful number, since it uses less digits than its factorization.

10142410040322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260843.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10142410040322 its reverse (22304001424101), we get a palindrome (32446411464423).

The spelling of 10142410040322 in words is "ten trillion, one hundred forty-two billion, four hundred ten million, forty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 1722 24977 49954 74931 149862 174839 235813 349678 471626 524517 707439 1024057 1049034 1414878 1650691 2048114 3072171 3301382 4952073 6144342 7168399 9668333 9904146 14336798 19336666 21505197 29004999 43010394 58009998 67678331 135356662 203034993 406069986 5889901301 11779802602 17669703903 35339407806 41229309107 82458618214 123687927321 241485953341 247375854642 482971906682 724457860023 1448915720046 1690401673387 3380803346774 5071205020161 10142410040322