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541114410132 = 2232234764721491
BaseRepresentation
bin1111101111111001110…
…11101010010010010100
31220201201012020011001100
413313330323222102110
532331200242111012
61052330131430100
754044214411312
oct7677473522224
91821635204040
10541114410132
11199537a8334a
1288a56155330
133c047057cca
141c2938010b2
15e12039a8dc
hex7dfceea494

541114410132 has 144 divisors (see below), whose sum is σ = 1459975974912. Its totient is φ = 168589565760.

The previous prime is 541114410121. The next prime is 541114410173. The reversal of 541114410132 is 231014411145.

It is a happy number.

541114410132 is a `hidden beast` number, since 5 + 4 + 1 + 114 + 410 + 132 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 541114410096 and 541114410105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25167907 + ... + 25189397.

It is an arithmetic number, because the mean of its divisors is an integer number (10138722048).

Almost surely, 2541114410132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541114410132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729987987456).

541114410132 is an abundant number, since it is smaller than the sum of its proper divisors (918861564780).

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

541114410132 is a wasteful number, since it uses less digits than its factorization.

541114410132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22218 (or 22213 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 541114410132 its reverse (231014411145), we get a palindrome (772128821277).

The spelling of 541114410132 in words is "five hundred forty-one billion, one hundred fourteen million, four hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 47 69 92 94 138 141 188 207 276 282 414 423 564 647 828 846 1081 1294 1692 1941 2162 2588 3243 3882 4324 5823 6486 7764 9729 11646 12972 14881 19458 21491 23292 29762 30409 38916 42982 44643 59524 60818 64473 85964 89286 91227 121636 128946 133929 178572 182454 193419 257892 267858 273681 364908 386838 494293 535716 547362 699407 773676 988586 1010077 1094724 1398814 1482879 1977172 2020154 2098221 2797628 2965758 3030231 4040308 4196442 4448637 5931516 6060462 6294663 8392884 8897274 9090693 12120924 12589326 13904677 17794548 18181386 23231771 25178652 27809354 36362772 41714031 46463542 55618708 69695313 83428062 92927084 125142093 139390626 166856124 209085939 250284186 278781252 319807571 418171878 500568372 639615142 653519819 836343756 959422713 1279230284 1307039638 1918845426 1960559457 2614079276 2878268139 3837690852 3921118914 5756536278 5881678371 7842237828 11513072556 11763356742 15030955837 23526713484 30061911674 45092867511 60123823348 90185735022 135278602533 180371470044 270557205066 541114410132