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120114020432 = 2474731372901
BaseRepresentation
bin110111111011101011…
…0101000000001010000
3102111000221201110010102
41233313112220001100
53431443142123212
6131102444151532
711451352220330
oct1576726500120
9374027643112
10120114020432
1146a3826238a
121b341b385a8
13b4329c9693
145b565470c0
1531ceec95c2
hex1bf75a8050

120114020432 has 80 divisors (see below), whose sum is σ = 272497178112. Its totient is φ = 50220518400.

The previous prime is 120114020423. The next prime is 120114020443. The reversal of 120114020432 is 234020411021.

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, 1611182 + ... + 1684082.

Almost surely, 2120114020432 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 120114020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136248589056).

120114020432 is an abundant number, since it is smaller than the sum of its proper divisors (152383157680).

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

120114020432 is a wasteful number, since it uses less digits than its factorization.

120114020432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73276 (or 73270 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 120114020432 its reverse (234020411021), we get a palindrome (354134431453).

The spelling of 120114020432 in words is "one hundred twenty billion, one hundred fourteen million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 313 329 376 626 658 752 1252 1316 2191 2504 2632 4382 5008 5264 8764 14711 17528 29422 35056 58844 72901 102977 117688 145802 205954 235376 291604 411908 510307 583208 823816 1020614 1166416 1647632 2041228 3426347 4082456 6852694 8164912 13705388 22818013 23984429 27410776 45636026 47968858 54821552 91272052 95937716 159726091 182544104 191875432 319452182 365088208 383750864 638904364 1072446611 1277808728 2144893222 2555617456 4289786444 7507126277 8579572888 15014252554 17159145776 30028505108 60057010216 120114020432