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141481148450020 = 22517292494793133
BaseRepresentation
bin100000001010110100100101…
…100110001000010011100100
3200112221110120111100201022221
4200022310211212020103210
5122021011343000400040
61220523313050402124
741541450515264401
oct4012644546102344
9615843514321287
10141481148450020
11410978aa992065
1213a4bbb2430344
1360c37cc364ab2
1426d1a1cdc32a8
1511553b187174a
hex80ad259884e4

141481148450020 has 72 divisors (see below), whose sum is σ = 325809403703784. Its totient is φ = 51426818967552.

The previous prime is 141481148450017. The next prime is 141481148450039. The reversal of 141481148450020 is 20054841184141.

It can be written as a sum of positive squares in 12 ways, for example, as 7295660298304 + 134185488151716 = 2701048^2 + 11583846^2 .

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, 247110627 + ... + 247682506.

It is an arithmetic number, because the mean of its divisors is an integer number (4525130606997).

Almost surely, 2141481148450020 is an apocalyptic number.

141481148450020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141481148450020 is an abundant number, since it is smaller than the sum of its proper divisors (184328255253764).

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

141481148450020 is a wasteful number, since it uses less digits than its factorization.

141481148450020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494793217 (or 494793186 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 43.

The spelling of 141481148450020 in words is "one hundred forty-one trillion, four hundred eighty-one billion, one hundred forty-eight million, four hundred fifty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 841 986 1682 1972 2465 3364 4205 4930 8410 9860 14297 16820 28594 57188 71485 142970 285940 494793133 989586266 1979172532 2473965665 4947931330 8411483261 9895862660 14349000857 16822966522 28698001714 33645933044 42057416305 57396003428 71745004285 84114832610 143490008570 168229665220 243933014569 286980017140 416121024853 487866029138 832242049706 975732058276 1219665072845 1664484099412 2080605124265 2439330145690 4161210248530 4878660291380 7074057422501 8322420497060 14148114845002 28296229690004 35370287112505 70740574225010 141481148450020