Search a number
-
+
120414440202 = 23747539311311
BaseRepresentation
bin111000000100101000…
…0101000101100001010
3102111210220000100120120
41300021100220230022
53433102044041302
6131152335204110
711461660565610
oct1601120505412
9374726010516
10120414440202
11470818a3191
121b406676636
13b480013564
145b843c96b0
1531eb56c9bc
hex1c09428b0a

120414440202 has 64 divisors (see below), whose sum is σ = 281166004224. Its totient is φ = 33662903040.

The previous prime is 120414440197. The next prime is 120414440213. The reversal of 120414440202 is 202044414021.

It is a super-2 number, since 2×1204144402022 (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 10640127 + ... + 10651437.

It is an arithmetic number, because the mean of its divisors is an integer number (4393218816).

Almost surely, 2120414440202 is an apocalyptic number.

120414440202 is an abundant number, since it is smaller than the sum of its proper divisors (160751564022).

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

120414440202 is a wasteful number, since it uses less digits than its factorization.

120414440202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16763.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 120414440202 its reverse (202044414021), we get a palindrome (322458854223).

The spelling of 120414440202 in words is "one hundred twenty billion, four hundred fourteen million, four hundred forty thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 658 987 1974 5393 10786 11311 16179 22622 32358 33933 37751 67866 75502 79177 113253 158354 226506 237531 253471 475062 506942 531617 760413 1063234 1520826 1594851 1774297 3189702 3548594 3721319 5322891 7442638 10645782 11163957 22327914 61000223 122000446 183000669 366001338 427001561 854003122 1281004683 2562009366 2867010481 5734020962 8601031443 17202062886 20069073367 40138146734 60207220101 120414440202