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120144301242 = 23767118735969
BaseRepresentation
bin110111111100100101…
…0001000110010111010
3102111010001200212120220
41233321022020302322
53432023420114432
6131105445200510
711452200465510
oct1577112106272
9374101625526
10120144301242
1146a53364849
121b350100136
13b43906c414
145b5a58a4b0
1531d29ab72c
hex1bf9288cba

120144301242 has 64 divisors (see below), whose sum is σ = 278956846080. Its totient is φ = 33785174016.

The previous prime is 120144301201. The next prime is 120144301253. The reversal of 120144301242 is 242103441021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3322234 + ... + 3358202.

It is an arithmetic number, because the mean of its divisors is an integer number (4358700720).

Almost surely, 2120144301242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120144301242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139478423040).

120144301242 is an abundant number, since it is smaller than the sum of its proper divisors (158812544838).

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

120144301242 is a wasteful number, since it uses less digits than its factorization.

120144301242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37235.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 120144301242 its reverse (242103441021), we get a palindrome (362247742263).

The spelling of 120144301242 in words is "one hundred twenty billion, one hundred forty-four million, three hundred one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 67 134 201 402 469 938 1187 1407 2374 2814 3561 7122 8309 16618 24927 35969 49854 71938 79529 107907 159058 215814 238587 251783 477174 503566 556703 755349 1113406 1510698 1670109 2409923 3340218 4819846 7229769 14459538 16869461 33738922 42695203 50608383 85390406 101216766 128085609 256171218 298866421 597732842 896599263 1793198526 2860578601 5721157202 8581735803 17163471606 20024050207 40048100414 60072150621 120144301242