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114505223112544 = 25114311176772687
BaseRepresentation
bin11010000010010001010011…
…001001100000011101100000
3120000102120222212122210201111
4122002101103021200131200
5110002023144104100134
61043310550122313104
733055505113235605
oct3202212311403540
9500376885583644
10114505223112544
1133537435335aa0
1210a13a67658794
134bb7a473638a4
14203c1220426ac
15d38824b29c64
hex682453260760

114505223112544 has 96 divisors (see below), whose sum is σ = 251870523480576. Its totient is φ = 50791894110720.

The previous prime is 114505223112491. The next prime is 114505223112583. The reversal of 114505223112544 is 445211322505411.

It is a super-2 number, since 2×1145052231125442 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114505223112497 and 114505223112506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13520569 + ... + 20293255.

It is an arithmetic number, because the mean of its divisors is an integer number (2623651286256).

Almost surely, 2114505223112544 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 114505223112544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125935261740288).

114505223112544 is an abundant number, since it is smaller than the sum of its proper divisors (137365300368032).

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

114505223112544 is a wasteful number, since it uses less digits than its factorization.

114505223112544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6773868 (or 6773860 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

Adding to 114505223112544 its reverse (445211322505411), we get a palindrome (559716545617955).

The spelling of 114505223112544 in words is "one hundred fourteen trillion, five hundred five billion, two hundred twenty-three million, one hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 344 352 473 688 946 1117 1376 1892 2234 3784 4468 7568 8936 12287 15136 17872 24574 35744 48031 49148 96062 98296 192124 196592 384248 393184 528341 768496 1056682 1536992 2113364 4226728 6772687 8453456 13545374 16906912 27090748 54181496 74499557 108362992 148999114 216725984 291225541 297998228 582451082 595996456 1164902164 1191992912 2329804328 2383985824 3203480951 4659608656 6406961902 7565091379 9319217312 12813923804 15130182758 25627847608 30260365516 51255695216 60520731032 83216005169 102511390432 121041462064 166432010338 242082924128 325298929297 332864020676 650597858594 665728041352 1301195717188 1331456082704 2602391434376 2662912165408 3578288222267 5204782868752 7156576444534 10409565737504 14313152889068 28626305778136 57252611556272 114505223112544