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10032340434141 = 3416113796710093
BaseRepresentation
bin1001000111111101011000…
…0101100111110011011101
31022112002020001110112021110
42101333112011213303131
52303332213122343031
633200443224452233
72053545514451304
oct221772605476335
938462201415243
1010032340434141
1132187676a5943
12116040261a079
1357a079381a9c
142697d432d43b
15125e6e278c46
hex91fd6167cdd

10032340434141 has 64 divisors (see below), whose sum is σ = 14044902068736. Its totient is φ = 6364063641600.

The previous prime is 10032340434119. The next prime is 10032340434157. The reversal of 10032340434141 is 14143404323001.

It is a de Polignac number, because none of the positive numbers 2k-10032340434141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10032340434099 and 10032340434108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032340034141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 993984891 + ... + 993994983.

It is an arithmetic number, because the mean of its divisors is an integer number (219451594824).

Almost surely, 210032340434141 is an apocalyptic number.

It is an amenable number.

10032340434141 is a deficient number, since it is larger than the sum of its proper divisors (4012561634595).

10032340434141 is a wasteful number, since it uses less digits than its factorization.

10032340434141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11302.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10032340434141 its reverse (14143404323001), we get a palindrome (24175744757142).

The spelling of 10032340434141 in words is "ten trillion, thirty-two billion, three hundred forty million, four hundred thirty-four thousand, one hundred forty-one".

Divisors: 1 3 41 61 123 137 183 411 967 2501 2901 5617 7503 8357 10093 16851 25071 30279 39647 58987 118941 132479 176961 342637 397437 413813 615673 1027911 1241439 1382741 1847019 2418467 4148223 5431639 7255401 8081219 9759931 16294917 24243657 25242593 29279793 56692381 75727779 84347201 170077143 253041603 331329979 400157171 595355791 993989937 1200471513 1337110547 1786067373 3458235241 4011331641 10374705723 24409587431 54821532427 73228762293 81563743367 164464597281 244691230101 3344113478047 10032340434141