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114422205473504 = 25231791427608633
BaseRepresentation
bin11010000001000011111110…
…111010010110001011100000
3120000010122201020022210011122
4122001003332322112023200
5104444143134100123004
61043204500250231412
733046505630034545
oct3201037672261340
9500118636283148
10114422205473504
1133505204011055
12109bb959125568
134bacc76cac956
1420380c85ccbcc
15d365b6780cbe
hex6810fee962e0

114422205473504 has 96 divisors (see below), whose sum is σ = 236542244440320. Its totient is φ = 54379720840192.

The previous prime is 114422205473491. The next prime is 114422205473557. The reversal of 114422205473504 is 405374502224411.

It is a super-2 number, since 2×1144222054735042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187694372 + ... + 188303004.

It is an arithmetic number, because the mean of its divisors is an integer number (2463981712920).

Almost surely, 2114422205473504 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 114422205473504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118271122220160).

114422205473504 is an abundant number, since it is smaller than the sum of its proper divisors (122120038966816).

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

114422205473504 is a wasteful number, since it uses less digits than its factorization.

114422205473504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610272 (or 610264 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 44.

Adding to 114422205473504 its reverse (405374502224411), we get a palindrome (519796707697915).

The spelling of 114422205473504 in words is "one hundred fourteen trillion, four hundred twenty-two billion, two hundred five million, four hundred seventy-three thousand, five hundred four".

Divisors: 1 2 4 8 16 23 32 46 92 179 184 358 368 716 736 1427 1432 2854 2864 4117 5708 5728 8234 11416 16468 22832 32821 32936 45664 65642 65872 131284 131744 255433 262568 510866 525136 608633 1021732 1050272 1217266 2043464 2434532 4086928 4869064 5874959 8173856 9738128 11749918 13998559 19476256 23499836 27997118 46999672 55994236 93999344 108945307 111988472 187998688 217890614 223976944 435781228 447953888 868519291 871562456 1737038582 1743124912 2505742061 3474077164 3486249824 5011484122 6948154328 10022968244 13896308656 19975943693 20045936488 27792617312 39951887386 40091872976 79903774772 80183745952 155464953089 159807549544 310929906178 319615099088 621859812356 639230198176 1243719624712 2487439249424 3575693921047 4974878498848 7151387842094 14302775684188 28605551368376 57211102736752 114422205473504