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120144314352 = 24319712705617
BaseRepresentation
bin110111111100100101…
…0001011111111110000
3102111010001201112120110
41233321022023333300
53432023421024402
6131105445341320
711452200551646
oct1577112137760
9374101645513
10120144314352
1146a53373687
121b350107840
13b43907538a
145b5a591196
1531d29b056c
hex1bf928bff0

120144314352 has 40 divisors (see below), whose sum is σ = 311948333136. Its totient is φ = 39844811776.

The previous prime is 120144314317. The next prime is 120144314429. The reversal of 120144314352 is 253413441021.

It is a super-2 number, since 2×1201443143522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6343353 + ... + 6362264.

Almost surely, 2120144314352 is an apocalyptic number.

120144314352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120144314352 is an abundant number, since it is smaller than the sum of its proper divisors (191804018784).

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

120144314352 is a wasteful number, since it uses less digits than its factorization.

120144314352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12705825 (or 12705819 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 120144314352 its reverse (253413441021), we get a palindrome (373557755373).

The spelling of 120144314352 in words is "one hundred twenty billion, one hundred forty-four million, three hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 197 394 591 788 1182 1576 2364 3152 4728 9456 12705617 25411234 38116851 50822468 76233702 101644936 152467404 203289872 304934808 609869616 2503006549 5006013098 7509019647 10012026196 15018039294 20024052392 30036078588 40048104784 60072157176 120144314352