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14434867040 = 2551112016829
BaseRepresentation
bin11010111000110001…
…01001011101100000
31101020222202020000012
431130120221131200
5214030311221130
610344205144052
71020465226316
oct153430513540
941228666005
1014434867040
116138119290
12296a25b028
13149073a859
149ad1560b6
155973d2995
hex35c629760

14434867040 has 96 divisors (see below), whose sum is σ = 37239017760. Its totient is φ = 5243904000.

The previous prime is 14434867039. The next prime is 14434867049. The reversal of 14434867040 is 4076843441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14434867049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2110346 + ... + 2117174.

It is an arithmetic number, because the mean of its divisors is an integer number (387906435).

Almost surely, 214434867040 is an apocalyptic number.

14434867040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14434867040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18619508880).

14434867040 is an abundant number, since it is smaller than the sum of its proper divisors (22804150720).

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

14434867040 is a wasteful number, since it uses less digits than its factorization.

14434867040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8056 (or 8048 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 41.

The spelling of 14434867040 in words is "fourteen billion, four hundred thirty-four million, eight hundred sixty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1201 1760 2402 4804 6005 6829 9608 12010 13211 13658 19216 24020 26422 27316 34145 38432 48040 52844 54632 66055 68290 75119 96080 105688 109264 132110 136580 150238 192160 211376 218528 264220 273160 300476 375595 422752 528440 546320 600952 751190 1056880 1092640 1201904 1502380 2113760 2403808 3004760 6009520 8201629 12019040 16403258 32806516 41008145 65613032 82016290 90217919 131226064 164032580 180435838 262452128 328065160 360871676 451089595 656130320 721743352 902179190 1312260640 1443486704 1804358380 2886973408 3608716760 7217433520 14434867040