Search a number
-
+
120873038224 = 2423237792
BaseRepresentation
bin111000010010010011…
…0000011000110010000
3102112222211221112210111
41300210212003012100
53440021444210344
6131310040411104
711506226605231
oct1604446030620
9375884845714
10120873038224
1147297751714
121b514176a94
13b524030933
145bc9285088
153226958834
hex1c24983190

120873038224 has 45 divisors (see below), whose sum is σ = 244881257803. Its totient is φ = 57793546976.

The previous prime is 120873038197. The next prime is 120873038249. The reversal of 120873038224 is 422830378021.

The square root of 120873038224 is 347668.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1208730382242 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 31983567 + ... + 31987345.

Almost surely, 2120873038224 is an apocalyptic number.

120873038224 is the 347668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120873038224

120873038224 is an abundant number, since it is smaller than the sum of its proper divisors (124008219579).

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

120873038224 is an frugal number, since it uses more digits than its factorization.

120873038224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7612 (or 3804 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 120873038224 in words is "one hundred twenty billion, eight hundred seventy-three million, thirty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 3779 4232 7558 8464 15116 30232 60464 86917 173834 347668 695336 1390672 1999091 3998182 7996364 14280841 15992728 28561682 31985456 57123364 114246728 228493456 328459343 656918686 1313837372 2627674744 5255349488 7554564889 15109129778 30218259556 60436519112 120873038224