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14288131680 = 253529766941
BaseRepresentation
bin11010100111010001…
…11001011001100000
31100212202122021221020
431103220321121200
5213230230203210
610321444125440
71014034054404
oct152350713140
940782567836
1014288131680
116072306899
122929096880
1314692128b4
1499787b104
1558959a770
hex353a39660

14288131680 has 48 divisors (see below), whose sum is σ = 45007616304. Its totient is φ = 3810168320.

The previous prime is 14288131673. The next prime is 14288131681. The reversal of 14288131680 is 8613188241.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14288131681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14882991 + ... + 14883950.

It is an arithmetic number, because the mean of its divisors is an integer number (937658673).

Almost surely, 214288131680 is an apocalyptic number.

14288131680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14288131680 is an abundant number, since it is smaller than the sum of its proper divisors (30719484624).

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

14288131680 is a wasteful number, since it uses less digits than its factorization.

14288131680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29766959 (or 29766951 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 14288131680 in words is "fourteen billion, two hundred eighty-eight million, one hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 29766941 59533882 89300823 119067764 148834705 178601646 238135528 297669410 357203292 446504115 476271056 595338820 714406584 893008230 952542112 1190677640 1428813168 1786016460 2381355280 2857626336 3572032920 4762710560 7144065840 14288131680