Search a number
-
+
120342233040 = 24351261139761
BaseRepresentation
bin111000000010011110…
…1001011111111010000
3102111121212010211222020
41300010331023333100
53432430102424130
6131141235411440
711460123050241
oct1600475137720
9374555124866
10120342233040
1147045064947
121b3a6453b80
13b46b081223
145b78990cc8
1531e5057e10
hex1c04f4bfd0

120342233040 has 80 divisors (see below), whose sum is σ = 373099887936. Its totient is φ = 32087910400.

The previous prime is 120342232999. The next prime is 120342233057. The reversal of 120342233040 is 40332243021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120342233040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3006760 + ... + 3046520.

Almost surely, 2120342233040 is an apocalyptic number.

120342233040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120342233040 is an abundant number, since it is smaller than the sum of its proper divisors (252757654896).

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

120342233040 is a wasteful number, since it uses less digits than its factorization.

120342233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52388 (or 52382 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 120342233040 its reverse (40332243021), we get a palindrome (160674476061).

The spelling of 120342233040 in words is "one hundred twenty billion, three hundred forty-two million, two hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 12611 25222 37833 39761 50444 63055 75666 79522 100888 119283 126110 151332 159044 189165 198805 201776 238566 252220 302664 318088 378330 397610 477132 504440 596415 605328 636176 756660 795220 954264 1008880 1192830 1513320 1590440 1908528 2385660 3026640 3180880 4771320 9542640 501425971 1002851942 1504277913 2005703884 2507129855 3008555826 4011407768 5014259710 6017111652 7521389565 8022815536 10028519420 12034223304 15042779130 20057038840 24068446608 30085558260 40114077680 60171116520 120342233040