Search a number
-
+
10142143003314 = 232788191365719
BaseRepresentation
bin1001001110010110011011…
…0101001011101010110010
31022220120122101100222110200
42103211212311023222302
52312132102102101224
633323123002540030
72064513521054550
oct223454665135262
938816571328420
1010142143003314
113260293358283
121179747207616
135875279b3bca
14270c4d1dcbd0
15128c48d735c9
hex93966d4bab2

10142143003314 has 48 divisors (see below), whose sum is σ = 25142384292480. Its totient is φ = 2894465946240.

The previous prime is 10142143003309. The next prime is 10142143003357. The reversal of 10142143003314 is 41330034124101.

10142143003314 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 21 + 4 + 300 + 331 + 4 = 666.

It is a super-2 number, since 2×101421430033142 (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 45571854 + ... + 45793865.

It is an arithmetic number, because the mean of its divisors is an integer number (523799672760).

Almost surely, 210142143003314 is an apocalyptic number.

10142143003314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10142143003314 is an abundant number, since it is smaller than the sum of its proper divisors (15000241289166).

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

10142143003314 is a wasteful number, since it uses less digits than its factorization.

10142143003314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91366615 (or 91366612 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10142143003314 its reverse (41330034124101), we get a palindrome (51472177127415).

The spelling of 10142143003314 in words is "ten trillion, one hundred forty-two billion, one hundred forty-three million, three thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 881 1762 2643 5286 6167 7929 12334 15858 18501 37002 55503 111006 91365719 182731438 274097157 548194314 639560033 822291471 1279120066 1644582942 1918680099 3837360198 5756040297 11512080594 80493198439 160986396878 241479595317 482959190634 563452389073 724438785951 1126904778146 1448877571902 1690357167219 3380714334438 5071071501657 10142143003314