Search a number
-
+
10242142003014 = 235035087667129
BaseRepresentation
bin1001010100001010111100…
…1111000101111101000110
31100021010202111010111120020
42111002233033011331012
52320301401323044024
633441101452320010
72104653553405665
oct225025717057506
940233674114506
1010242142003014
11329973916a889
121194bb4773006
13593aa323324c
14275a1807cddc
1512b64ce61979
hex950af3c5f46

10242142003014 has 32 divisors (see below), whose sum is σ = 20529073797120. Its totient is φ = 3406585060032.

The previous prime is 10242142002977. The next prime is 10242142003031. The reversal of 10242142003014 is 41030024124201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15019002 + ... + 15686130.

It is an arithmetic number, because the mean of its divisors is an integer number (641533556160).

Almost surely, 210242142003014 is an apocalyptic number.

10242142003014 is an abundant number, since it is smaller than the sum of its proper divisors (10286931794106).

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

10242142003014 is a wasteful number, since it uses less digits than its factorization.

10242142003014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672724.

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

Adding to 10242142003014 its reverse (41030024124201), we get a palindrome (51272166127215).

The spelling of 10242142003014 in words is "ten trillion, two hundred forty-two billion, one hundred forty-two million, three thousand, fourteen".

Divisors: 1 2 3 6 503 1006 1509 3018 5087 10174 15261 30522 667129 1334258 2001387 2558761 4002774 5117522 7676283 15352566 335565887 671131774 1006697661 2013395322 3393685223 6787370446 10181055669 20362111338 1707023667169 3414047334338 5121071001507 10242142003014