Search a number
-
+
120142505104 = 24611371974561
BaseRepresentation
bin110111111100100001…
…1010010010010010000
3102111002221022121202021
41233321003102102100
53432022440130404
6131105342501224
711452146305116
oct1577103222220
9374087277667
10120142505104
1146a52348336
121b34b594814
13b438890a0b
145b5a23dab6
1531d2754454
hex1bf90d2490

120142505104 has 80 divisors (see below), whose sum is σ = 239581313136. Its totient is φ = 58344652800.

The previous prime is 120142505069. The next prime is 120142505113. The reversal of 120142505104 is 401505241021.

It can be written as a sum of positive squares in 8 ways, for example, as 52533504 + 120089971600 = 7248^2 + 346540^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26338984 + ... + 26343544.

Almost surely, 2120142505104 is an apocalyptic number.

It is an amenable number.

120142505104 is a deficient number, since it is larger than the sum of its proper divisors (119438808032).

120142505104 is a wasteful number, since it uses less digits than its factorization.

120142505104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 120142505104 its reverse (401505241021), we get a palindrome (521647746125).

The spelling of 120142505104 in words is "one hundred twenty billion, one hundred forty-two million, five hundred five thousand, one hundred four".

Divisors: 1 2 4 8 16 61 122 137 197 244 274 394 488 548 788 976 1096 1576 2192 3152 4561 8357 9122 12017 16714 18244 24034 26989 33428 36488 48068 53978 66856 72976 96136 107956 133712 192272 215912 278221 431824 556442 624857 898517 1112884 1249714 1646329 1797034 2225768 2499428 3292658 3594068 4451536 4998856 6585316 7188136 9997712 13170632 14376272 26341264 38116277 54809537 76232554 109619074 123096829 152465108 219238148 246193658 304930216 438476296 492387316 609860432 876952592 984774632 1969549264 7508906569 15017813138 30035626276 60071252552 120142505104