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14343001321440 = 25351120991294177
BaseRepresentation
bin1101000010110111110101…
…1111111010111111100000
31212210011210102102110000110
43100231331133322333200
53334443431314241230
650301030035451320
73010150641442131
oct320557537727740
955704712373013
1014343001321440
11462a918363170
12173792a156b40
1380070188cc4c
143782c2609c88
1519d1637e94b0
hexd0b7d7fafe0

14343001321440 has 192 divisors, whose sum is σ = 49311287827200. Its totient is φ = 3475431997440.

The previous prime is 14343001321421. The next prime is 14343001321447. The reversal of 14343001321440 is 4412310034341.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14343001321398 and 14343001321407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14343001321447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10435632 + ... + 11729808.

It is an arithmetic number, because the mean of its divisors is an integer number (256829624100).

Almost surely, 214343001321440 is an apocalyptic number.

14343001321440 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 14343001321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24655643913600).

14343001321440 is an abundant number, since it is smaller than the sum of its proper divisors (34968286505760).

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

14343001321440 is a wasteful number, since it uses less digits than its factorization.

14343001321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296305 (or 1296297 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 14343001321440 its reverse (4412310034341), we get a palindrome (18755311355781).

The spelling of 14343001321440 in words is "fourteen trillion, three hundred forty-three billion, one million, three hundred twenty-one thousand, four hundred forty".