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1014010004304 = 24321117237131457
BaseRepresentation
bin11101100000101111011…
…01001100001101010000
310120221100002201101101100
432300113231030031100
5113103143030114204
62053455121304400
7133155053552433
oct16602755141520
93527302641340
101014010004304
11361048237550
12144631a95100
137480b99b20b
1437114da581a
151b59b6c3a39
hexec17b4c350

1014010004304 has 720 divisors, whose sum is σ = 3410732609856. Its totient is φ = 278625484800.

The previous prime is 1014010004291. The next prime is 1014010004317. The reversal of 1014010004304 is 4034000104101.

It is an interprime number because it is at equal distance from previous prime (1014010004291) and next prime (1014010004317).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2218840044 + ... + 2218840500.

Almost surely, 21014010004304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014010004304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705366304928).

1014010004304 is an abundant number, since it is smaller than the sum of its proper divisors (2396722605552).

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

1014010004304 is a wasteful number, since it uses less digits than its factorization.

1014010004304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1014010004304 its reverse (4034000104101), we get a palindrome (5048010108405).

The spelling of 1014010004304 in words is "one trillion, fourteen billion, ten million, four thousand, three hundred four".