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14012300320040 = 235114110327127827
BaseRepresentation
bin1100101111100111111000…
…1011101101110100101000
31211121120012022010221202102
43023321332023231310220
53314034142340220130
645445054545352532
72644232602345661
oct313717613556450
954546168127672
1014012300320040
11451264625a140
1216a3817038748
137a847b399129
143662add04368
1519475abe2645
hexcbe7e2edd28

14012300320040 has 256 divisors, whose sum is σ = 35707322327040. Its totient is φ = 4904499456000.

The previous prime is 14012300320021. The next prime is 14012300320087. The reversal of 14012300320040 is 4002300321041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14012300319994 and 14012300320021.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 503536607 + ... + 503564433.

It is an arithmetic number, because the mean of its divisors is an integer number (139481727840).

Almost surely, 214012300320040 is an apocalyptic number.

14012300320040 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 14012300320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17853661163520).

14012300320040 is an abundant number, since it is smaller than the sum of its proper divisors (21695022007000).

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

14012300320040 is a wasteful number, since it uses less digits than its factorization.

14012300320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28264 (or 28260 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14012300320040 its reverse (4002300321041), we get a palindrome (18014600641081).

The spelling of 14012300320040 in words is "fourteen trillion, twelve billion, three hundred million, three hundred twenty thousand, forty".