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123434432032 = 25311031208057
BaseRepresentation
bin111001011110101000…
…0111111011000100000
3102210121100122211112211
41302331100333120200
54010243203311112
6132412140131504
711626551234532
oct1627520773040
9383540584484
10123434432032
11483915787aa
121bb09b36b94
13b8418a7582
145d8d517852
1533267600a7
hex1cbd43f620

123434432032 has 48 divisors (see below), whose sum is σ = 253286272512. Its totient is φ = 59146421760.

The previous prime is 123434432021. The next prime is 123434432089. The reversal of 123434432032 is 230234434321.

It is a happy number.

It is a super-2 number, since 2×1234344320322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 123434431985 and 123434432003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501853 + ... + 706204.

It is an arithmetic number, because the mean of its divisors is an integer number (5276797344).

Almost surely, 2123434432032 is an apocalyptic number.

It is an amenable number.

123434432032 is an abundant number, since it is smaller than the sum of its proper divisors (129851840480).

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

123434432032 is a wasteful number, since it uses less digits than its factorization.

123434432032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208201 (or 1208193 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 123434432032 its reverse (230234434321), we get a palindrome (353668866353).

The spelling of 123434432032 in words is "one hundred twenty-three billion, four hundred thirty-four million, four hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 103 124 206 248 412 496 824 992 1648 3193 3296 6386 12772 25544 51088 102176 1208057 2416114 4832228 9664456 19328912 37449767 38657824 74899534 124429871 149799068 248859742 299598136 497719484 599196272 995438968 1198392544 1990877936 3857326001 3981755872 7714652002 15429304004 30858608008 61717216016 123434432032