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141650411130 = 232537103412987
BaseRepresentation
bin1000001111101100000…
…1011011111001111010
3111112121212020110012100
42003323001123321322
54310100001124010
6145023455524230
713143141425364
oct2037301337172
9445555213170
10141650411130
1155089a67488
1223552529676
1310485798327
146bda8c5d34
153a40a7c2c0
hex20fb05be7a

141650411130 has 96 divisors (see below), whose sum is σ = 381918086784. Its totient is φ = 36395630208.

The previous prime is 141650411113. The next prime is 141650411137. The reversal of 141650411130 is 31114056141.

141650411130 is a `hidden beast` number, since 1 + 4 + 1 + 650 + 4 + 1 + 1 + 1 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 141650411094 and 141650411103.

It is not an unprimeable number, because it can be changed into a prime (141650411137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136497 + ... + 549483.

It is an arithmetic number, because the mean of its divisors is an integer number (3978313404).

Almost surely, 2141650411130 is an apocalyptic number.

141650411130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141650411130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190959043392).

141650411130 is an abundant number, since it is smaller than the sum of its proper divisors (240267675654).

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

141650411130 is a wasteful number, since it uses less digits than its factorization.

141650411130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413140 (or 413137 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 141650411130 its reverse (31114056141), we get a palindrome (172764467271).

The spelling of 141650411130 in words is "one hundred forty-one billion, six hundred fifty million, four hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 103 111 185 206 222 309 333 370 515 555 618 666 927 1030 1110 1545 1665 1854 3090 3330 3811 4635 7622 9270 11433 19055 22866 34299 38110 57165 68598 114330 171495 342990 412987 825974 1238961 2064935 2477922 3716883 4129870 6194805 7433766 12389610 15280519 18584415 30561038 37168830 42537661 45841557 76402595 85075322 91683114 127612983 137524671 152805190 212688305 229207785 255225966 275049342 382838949 425376610 458415570 638064915 687623355 765677898 1276129830 1375246710 1573893457 1914194745 3147786914 3828389490 4721680371 7869467285 9443360742 14165041113 15738934570 23608401855 28330082226 47216803710 70825205565 141650411130