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140130330001440 = 253517181791911981
BaseRepresentation
bin11111110111001010100010…
…100010101100000000100000
3200101011022212122010121002120
4133313022202202230000200
5121331343403440021230
61214010552423144240
741342040132025542
oct3767124242540040
9611138778117076
10140130330001440
1140716a37106339
1213872243ba5080
136026305a8884c
1426864b6539692
1511301a12d8310
hex7f72a28ac020

140130330001440 has 384 divisors, whose sum is σ = 470056628321280. Its totient is φ = 34968320409600.

The previous prime is 140130330001411. The next prime is 140130330001471. The reversal of 140130330001440 is 44100033031041.

140130330001440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 140130330001440.

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, 11696040250 + ... + 11696052230.

It is an arithmetic number, because the mean of its divisors is an integer number (1224105802920).

Almost surely, 2140130330001440 is an apocalyptic number.

140130330001440 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 140130330001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235028314160640).

140130330001440 is an abundant number, since it is smaller than the sum of its proper divisors (329926298319840).

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

140130330001440 is a wasteful number, since it uses less digits than its factorization.

140130330001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20116 (or 20108 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 140130330001440 its reverse (44100033031041), we get a palindrome (184230363032481).

The spelling of 140130330001440 in words is "one hundred forty trillion, one hundred thirty billion, three hundred thirty million, one thousand, four hundred forty".