Search a number
-
+
120214163040 = 2535883283631
BaseRepresentation
bin110111111110101010…
…0101000111001100000
3102111021221011012221220
41233331110220321200
53432144311204130
6131120422415040
711454006345306
oct1577524507140
9374257135856
10120214163040
1146a89840a74
121b36b591480
13b44a69006a
145b65974276
1531d8bab410
hex1bfd528e60

120214163040 has 96 divisors (see below), whose sum is σ = 379104800256. Its totient is φ = 32020692480.

The previous prime is 120214163011. The next prime is 120214163053. The reversal of 120214163040 is 40361412021.

It is a tau number, because it is divible by the number of its divisors (96).

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 120214163040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282025 + ... + 565655.

It is an arithmetic number, because the mean of its divisors is an integer number (3949008336).

Almost surely, 2120214163040 is an apocalyptic number.

120214163040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120214163040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189552400128).

120214163040 is an abundant number, since it is smaller than the sum of its proper divisors (258890637216).

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

120214163040 is a wasteful number, since it uses less digits than its factorization.

120214163040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284532 (or 284524 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 120214163040 its reverse (40361412021), we get a palindrome (160575575061).

The spelling of 120214163040 in words is "one hundred twenty billion, two hundred fourteen million, one hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 883 1766 2649 3532 4415 5298 7064 8830 10596 13245 14128 17660 21192 26490 28256 35320 42384 52980 70640 84768 105960 141280 211920 283631 423840 567262 850893 1134524 1418155 1701786 2269048 2836310 3403572 4254465 4538096 5672620 6807144 8508930 9076192 11345240 13614288 17017860 22690480 27228576 34035720 45380960 68071440 136142880 250446173 500892346 751338519 1001784692 1252230865 1502677038 2003569384 2504461730 3005354076 3756692595 4007138768 5008923460 6010708152 7513385190 8014277536 10017846920 12021416304 15026770380 20035693840 24042832608 30053540760 40071387680 60107081520 120214163040