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143346452004 = 2234729029129
BaseRepresentation
bin1000010110000000011…
…1010100011000100100
3111201000001122020220000
42011200013110120210
54322033142431004
6145504043541300
713233154511100
oct2054007243044
9451001566800
10143346452004
115587a376058
122394652a830
1310695c89802
146d1bc5a900
153ade8ecc39
hex21601d4624

143346452004 has 90 divisors (see below), whose sum is σ = 435917367270. Its totient is φ = 40956124608.

The previous prime is 143346452003. The next prime is 143346452009. The reversal of 143346452004 is 400254643341.

143346452004 is a `hidden beast` number, since 1 + 4 + 3 + 3 + 4 + 645 + 2 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 117456998400 + 25889453604 = 342720^2 + 160902^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 143346452004.

It is not an unprimeable number, because it can be changed into a prime (143346452003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4498689 + ... + 4530440.

It is an arithmetic number, because the mean of its divisors is an integer number (4843526303).

Almost surely, 2143346452004 is an apocalyptic number.

143346452004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

143346452004 is an abundant number, since it is smaller than the sum of its proper divisors (292570915266).

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

143346452004 is a wasteful number, since it uses less digits than its factorization.

143346452004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9029159 (or 9029141 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 143346452004 in words is "one hundred forty-three billion, three hundred forty-six million, four hundred fifty-two thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 15876 9029129 18058258 27087387 36116516 54174774 63203903 81262161 108349548 126407806 162524322 189611709 243786483 252815612 325048644 379223418 442427321 487572966 568835127 731359449 758446836 884854642 975145932 1137670254 1327281963 1462718898 1706505381 1769709284 2275340508 2654563926 2925437796 3413010762 3981845889 5119516143 5309127852 6826021524 7963691778 10239032286 11945537667 15927383556 20478064572 23891075334 35836613001 47782150668 71673226002 143346452004