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132123342432 = 25319706910247
BaseRepresentation
bin111101100001100101…
…0100011011001100000
3110122000220101012212010
41323003022203121200
54131042033424212
6140410245432520
712355065611034
oct1730312433140
9418026335763
10132123342432
1151040200794
1221733a0b740
13c5c7a76283
1465754b01c4
15368448c03c
hex1ec32a3660

132123342432 has 96 divisors (see below), whose sum is σ = 365164934400. Its totient is φ = 41713187328.

The previous prime is 132123342283. The next prime is 132123342469. The reversal of 132123342432 is 234243321231.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 132123342432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12888733 + ... + 12898979.

It is an arithmetic number, because the mean of its divisors is an integer number (3803801400).

Almost surely, 2132123342432 is an apocalyptic number.

132123342432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132123342432 is an abundant number, since it is smaller than the sum of its proper divisors (233041591968).

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

132123342432 is a wasteful number, since it uses less digits than its factorization.

132123342432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17348 (or 17340 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 132123342432 its reverse (234243321231), we get a palindrome (366366663663).

The spelling of 132123342432 in words is "one hundred thirty-two billion, one hundred twenty-three million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 7069 10247 14138 20494 21207 28276 30741 40988 42414 56552 61482 81976 84828 113104 122964 134311 163952 169656 194693 226208 245928 268622 327904 339312 389386 402933 491856 537244 584079 678624 778772 805866 983712 1074488 1168158 1557544 1611732 2148976 2336316 3115088 3223464 4297952 4672632 6230176 6446928 9345264 12893856 18690528 72436043 144872086 217308129 289744172 434616258 579488344 869232516 1158976688 1376284817 1738465032 2317953376 2752569634 3476930064 4128854451 5505139268 6953860128 8257708902 11010278536 16515417804 22020557072 33030835608 44041114144 66061671216 132123342432