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4141145434012 = 2217731737516421
BaseRepresentation
bin111100010000101111100…
…000001010011110011100
3112122220000112201122202021
4330100233200022132130
51020322031212342022
612450225502305524
7605121305255146
oct74205740123634
915586015648667
104141145434012
111357282702294
1256a6b92882a4
1324067ba88422
1410460ab35c96
1572ac25397c7
hex3c42f80a79c

4141145434012 has 96 divisors (see below), whose sum is σ = 7835011801344. Its totient is φ = 1908126720000.

The previous prime is 4141145434009. The next prime is 4141145434051. The reversal of 4141145434012 is 2104345411414.

It is a super-2 number, since 2×41411454340122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644934562 + ... + 644940982.

It is an arithmetic number, because the mean of its divisors is an integer number (81614706264).

Almost surely, 24141145434012 is an apocalyptic number.

It is an amenable number.

4141145434012 is a deficient number, since it is larger than the sum of its proper divisors (3693866367332).

4141145434012 is a wasteful number, since it uses less digits than its factorization.

4141145434012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7439 (or 7437 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 4141145434012 in words is "four trillion, one hundred forty-one billion, one hundred forty-five million, four hundred thirty-four thousand, twelve".

Divisors: 1 2 4 17 34 68 73 146 173 292 346 692 751 1241 1502 2482 2941 3004 4964 5882 6421 11764 12629 12767 12842 25258 25534 25684 50516 51068 54823 109157 109646 129923 214693 218314 219292 259846 429386 436628 468733 519692 858772 931991 937466 1110833 1863982 1874932 2208691 2221666 3727964 4417382 4443332 4822171 7968461 8834764 9484379 9644342 15936922 18884161 18968758 19288684 31873844 37768322 37937516 75536644 81090809 81976907 161234443 162181618 163953814 322468886 324363236 327907628 352018483 644937772 704036966 834235583 1378543753 1408073932 1668471166 2757087506 3336942332 5514175012 5984314211 11968628422 14182004911 23937256844 28364009822 56728019644 60899197559 121798395118 243596790236 1035286358503 2070572717006 4141145434012