Search a number
-
+
10140112214020 = 225171271511555189
BaseRepresentation
bin1001001110001110110111…
…0010010101100000000100
31022220101101212002012021101
42103203231302111200010
52312113422211322040
633322145300025444
72064412301456215
oct223435562254004
938811355065241
1010140112214020
11325a440aa1218
12117927b092284
13587293049539
14270ad960b40c
15128b7a92d09a
hex938edc95804

10140112214020 has 96 divisors (see below), whose sum is σ = 22874879139840. Its totient is φ = 3762310809600.

The previous prime is 10140112213999. The next prime is 10140112214033. The reversal of 10140112214020 is 2041221104101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5742586 + ... + 7297774.

It is an arithmetic number, because the mean of its divisors is an integer number (238279991040).

Almost surely, 210140112214020 is an apocalyptic number.

10140112214020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140112214020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11437439569920).

10140112214020 is an abundant number, since it is smaller than the sum of its proper divisors (12734766925820).

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

10140112214020 is a wasteful number, since it uses less digits than its factorization.

10140112214020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555493 (or 1555491 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 10140112214020 its reverse (2041221104101), we get a palindrome (12181333318121).

The spelling of 10140112214020 in words is "ten trillion, one hundred forty billion, one hundred twelve million, two hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 127 151 170 254 302 340 508 604 635 755 1270 1510 2159 2540 2567 3020 4318 5134 8636 10268 10795 12835 19177 21590 25670 38354 43180 51340 76708 95885 191770 326009 383540 652018 1304036 1555189 1630045 3110378 3260090 6220756 6520180 7775945 15551890 26438213 31103780 52876426 105752852 132191065 197509003 234833539 264382130 395018006 469667078 528764260 790036012 939334156 987545015 1174167695 1975090030 2348335390 3357653051 3950180060 3992170163 4696670780 6715306102 7984340326 13430612204 15968680652 16788265255 19960850815 29823859453 33576530510 39921701630 59647718906 67153061020 79843403260 119295437812 149119297265 298238594530 507005610701 596477189060 1014011221402 2028022442804 2535028053505 5070056107010 10140112214020