Search a number
-
+
120423433440 = 2535250882153
BaseRepresentation
bin111000000100111001…
…0111100010011100000
3102111211111221020222110
41300021302330103200
53433111344332230
6131153300035320
711462130203142
oct1601162742340
9374744836873
10120423433440
1147086985a12
121b409692b40
13b481b41abb
145b8568ac92
1531ec2474b0
hex1c09cbc4e0

120423433440 has 48 divisors (see below), whose sum is σ = 379333816848. Its totient is φ = 32112915456.

The previous prime is 120423433439. The next prime is 120423433441. The reversal of 120423433440 is 44334324021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120423433439) and next prime (120423433441).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1204234334402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 120423433398 and 120423433407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120423433441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125440597 + ... + 125441556.

It is an arithmetic number, because the mean of its divisors is an integer number (7902787851).

Almost surely, 2120423433440 is an apocalyptic number.

120423433440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120423433440 is an abundant number, since it is smaller than the sum of its proper divisors (258910383408).

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

120423433440 is a wasteful number, since it uses less digits than its factorization.

120423433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250882171 (or 250882163 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 120423433440 its reverse (44334324021), we get a palindrome (164757757461).

The spelling of 120423433440 in words is "one hundred twenty billion, four hundred twenty-three million, four hundred thirty-three thousand, four hundred 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 250882153 501764306 752646459 1003528612 1254410765 1505292918 2007057224 2508821530 3010585836 3763232295 4014114448 5017643060 6021171672 7526464590 8028228896 10035286120 12042343344 15052929180 20070572240 24084686688 30105858360 40141144480 60211716720 120423433440