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3432314031400 = 235299117317427
BaseRepresentation
bin110001111100100101110…
…110111100110100101000
3110011010101212101112010201
4301330211312330310220
5422213334343001100
611144441105321544
7502655640615142
oct61744566746450
913133355345121
103432314031400
1111036aa877151
124752570362b4
131bb886a7bc87
14bc1a6985c92
155e437eaa36a
hex31f25dbcd28

3432314031400 has 48 divisors (see below), whose sum is σ = 7988183187840. Its totient is φ = 1371540139200.

The previous prime is 3432314031371. The next prime is 3432314031413. The reversal of 3432314031400 is 41304132343.

It is a super-2 number, since 2×34323140314002 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8460514 + ... + 8856913.

It is an arithmetic number, because the mean of its divisors is an integer number (166420483080).

Almost surely, 23432314031400 is an apocalyptic number.

It is an amenable number.

3432314031400 is an abundant number, since it is smaller than the sum of its proper divisors (4555869156440).

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

3432314031400 is a wasteful number, since it uses less digits than its factorization.

3432314031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17318434 (or 17318425 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 3432314031400 its reverse (41304132343), we get a palindrome (3473618163743).

The spelling of 3432314031400 in words is "three trillion, four hundred thirty-two billion, three hundred fourteen million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 991 1982 3964 4955 7928 9910 19820 24775 39640 49550 99100 198200 17317427 34634854 69269708 86587135 138539416 173174270 346348540 432935675 692697080 865871350 1731742700 3463485400 17161570157 34323140314 68646280628 85807850785 137292561256 171615701570 343231403140 429039253925 686462806280 858078507850 1716157015700 3432314031400