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514112102230432 = 251731127240045469
BaseRepresentation
bin111010011100101010000110…
…1001110100110100110100000
32111102022122012100121221120111
41310321110031032212212200
51014341203041132333212
65021231501140421104
7213201242105632426
oct16471241516464640
92442278170557514
10514112102230432
111398a279991a392
12497b24529a7794
13190b3742503964
1490d5230d79116
153e6838024bea7
hex1d3950d3a69a0

514112102230432 has 96 divisors (see below), whose sum is σ = 1114978561966080. Its totient is φ = 232287198474240.

The previous prime is 514112102230427. The next prime is 514112102230523. The reversal of 514112102230432 is 234032201211415.

It is a super-2 number, since 2×5141121022304322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 514112102230394 and 514112102230403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117881007 + ... + 122164462.

It is an arithmetic number, because the mean of its divisors is an integer number (11614360020480).

Almost surely, 2514112102230432 is an apocalyptic number.

It is an amenable number.

514112102230432 is an abundant number, since it is smaller than the sum of its proper divisors (600866459735648).

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

514112102230432 is a wasteful number, since it uses less digits than its factorization.

514112102230432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240045654 (or 240045646 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 514112102230432 its reverse (234032201211415), we get a palindrome (748144303441847).

The spelling of 514112102230432 in words is "five hundred fourteen trillion, one hundred twelve billion, one hundred two million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 127 136 248 254 272 496 508 527 544 992 1016 1054 2032 2108 2159 3937 4064 4216 4318 7874 8432 8636 15748 16864 17272 31496 34544 62992 66929 69088 125984 133858 267716 535432 1070864 2141728 240045469 480090938 960181876 1920363752 3840727504 4080772973 7441409539 7681455008 8161545946 14882819078 16323091892 29765638156 30485774563 32646183784 59531276312 60971549126 65292367568 119062552624 121943098252 126503962163 130584735136 238125105248 243886196504 253007924326 487772393008 506015848652 518258167571 945059011453 975544786016 1012031697304 1036516335142 1890118022906 2024063394608 2073032670284 3780236045812 4048126789216 4146065340568 7560472091624 8292130681136 15120944183248 16066003194701 16584261362272 30241888366496 32132006389402 64264012778804 128528025557608 257056051115216 514112102230432