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132430414120 = 235171667116827
BaseRepresentation
bin111101101010101110…
…1111100000100101000
3110122211022012002000121
41323111131330010220
54132204141222440
6140500535213024
712365514642544
oct1732535740450
9418738162017
10132430414120
1151188575244
12217ba817174
13c64657bab4
1465a41a4a24
1536a13e634a
hex1ed577c128

132430414120 has 64 divisors (see below), whose sum is σ = 315687948480. Its totient is φ = 49825821696.

The previous prime is 132430414091. The next prime is 132430414147. The reversal of 132430414120 is 21414034231.

132430414120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1075147 + ... + 1191973.

It is an arithmetic number, because the mean of its divisors is an integer number (4932624195).

Almost surely, 2132430414120 is an apocalyptic number.

132430414120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132430414120 is an abundant number, since it is smaller than the sum of its proper divisors (183257534360).

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

132430414120 is a wasteful number, since it uses less digits than its factorization.

132430414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118522 (or 118518 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 132430414120 its reverse (21414034231), we get a palindrome (153844448351).

The spelling of 132430414120 in words is "one hundred thirty-two billion, four hundred thirty million, four hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1667 3334 6668 8335 13336 16670 28339 33340 56678 66680 113356 116827 141695 226712 233654 283390 467308 566780 584135 934616 1133560 1168270 1986059 2336540 3972118 4673080 7944236 9930295 15888472 19860590 39721180 79442360 194750609 389501218 779002436 973753045 1558004872 1947506090 3310760353 3895012180 6621520706 7790024360 13243041412 16553801765 26486082824 33107603530 66215207060 132430414120