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542214246112 = 25711259339067
BaseRepresentation
bin1111110001111100111…
…11001100111011100000
31220211112211202121101021
413320332133030323200
532340423321333422
61053031221015224
754113401022230
oct7707637147340
91824484677337
10542214246112
11199a51896400
1289102554514
133c190b7c126
141c3598d9cc0
15e186becdc7
hex7e3e7ccee0

542214246112 has 144 divisors (see below), whose sum is σ = 1363704370560. Its totient is φ = 207671143680.

The previous prime is 542214246089. The next prime is 542214246121. The reversal of 542214246112 is 211642412245.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1429603 + ... + 1768669.

It is an arithmetic number, because the mean of its divisors is an integer number (9470169240).

Almost surely, 2542214246112 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 542214246112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681852185280).

542214246112 is an abundant number, since it is smaller than the sum of its proper divisors (821490124448).

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

542214246112 is a wasteful number, since it uses less digits than its factorization.

542214246112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339165 (or 339146 counting only the distinct ones).

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

Adding to 542214246112 its reverse (211642412245), we get a palindrome (753856658357).

The spelling of 542214246112 in words is "five hundred forty-two billion, two hundred fourteen million, two hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 59 77 88 112 118 121 154 176 224 236 242 308 352 413 472 484 616 649 826 847 944 968 1232 1298 1652 1694 1888 1936 2464 2596 3304 3388 3872 4543 5192 6608 6776 7139 9086 10384 13216 13552 14278 18172 20768 27104 28556 36344 49973 57112 72688 99946 114224 145376 199892 228448 339067 399784 678134 799568 1356268 1599136 2373469 2712536 3729737 4746938 5425072 7459474 9493876 10850144 14918948 18987752 20004953 26108159 29837896 37975504 40009906 41027107 52216318 59675792 75951008 80019812 82054214 104432636 119351584 140034671 160039624 164108428 208865272 220054483 280069342 287189749 320079248 328216856 417730544 440108966 560138684 574379498 640158496 656433712 835461088 880217932 1120277368 1148758996 1312867424 1540381381 1760435864 2240554736 2297517992 2420599313 3080762762 3520871728 4481109472 4595035984 4841198626 6161525524 7041743456 9190071968 9682397252 12323051048 16944195191 19364794504 24646102096 33888390382 38729589008 49292204192 67776780764 77459178016 135553561528 271107123056 542214246112