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120414123432 = 23325477305353
BaseRepresentation
bin111000000100100111…
…1011011010110101000
3102111210212102021001100
41300021033123112220
53433102003422212
6131152324321400
711461655106231
oct1601117332650
9374725367040
10120414123432
11470816a7199
121b406543260
13b47cc32315
145b84346088
1531eb508bdc
hex1c093db5a8

120414123432 has 48 divisors (see below), whose sum is σ = 326182196340. Its totient is φ = 40130581248.

The previous prime is 120414123421. The next prime is 120414123439. The reversal of 120414123432 is 234321414021.

120414123432 is a `hidden beast` number, since 1 + 204 + 1 + 4 + 1 + 23 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95477292036 + 24936831396 = 308994^2 + 157914^2 .

It is a super-2 number, since 2×1204141234322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120414123396 and 120414123405.

It is not an unprimeable number, because it can be changed into a prime (120414123439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241668 + ... + 547020.

Almost surely, 2120414123432 is an apocalyptic number.

120414123432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120414123432 is an abundant number, since it is smaller than the sum of its proper divisors (205768072908).

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

120414123432 is a wasteful number, since it uses less digits than its factorization.

120414123432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310842 (or 310835 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 120414123432 its reverse (234321414021), we get a palindrome (354735537453).

The spelling of 120414123432 in words is "one hundred twenty billion, four hundred fourteen million, one hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5477 10954 16431 21908 32862 43816 49293 65724 98586 131448 197172 305353 394344 610706 916059 1221412 1832118 2442824 2748177 3664236 5496354 7328472 10992708 21985416 1672418381 3344836762 5017255143 6689673524 10034510286 13379347048 15051765429 20069020572 30103530858 40138041144 60207061716 120414123432