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504101420001 = 34788892
BaseRepresentation
bin1110101010111101100…
…10010011101111100001
31210012011200202102210000
413111132302103233201
531224344430420001
61023325254530213
751264050241144
oct7253662235741
91705150672700
10504101420001
11184874123003
1281846666969
13386c8a8c40a
141a581c1805b
15d1a5c3da86
hex755ec93be1

504101420001 has 15 divisors (see below), whose sum is σ = 753049938531. Its totient is φ = 336063353328.

The previous prime is 504101419993. The next prime is 504101420003. The reversal of 504101420001 is 100024101405.

The square root of 504101420001 is 710001.

It is a perfect power (a square), and thus also a powerful number.

504101420001 is a `hidden beast` number, since 50 + 410 + 1 + 4 + 200 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2157509601 + 501943910400 = 46449^2 + 708480^2 .

It is not a de Polignac number, because 504101420001 - 23 = 504101419993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (504101420003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6350565 + ... + 6429453.

Almost surely, 2504101420001 is an apocalyptic number.

504101420001 is the 710001-st square number.

504101420001 is the 355001-st centered octagonal number.

It is an amenable number.

504101420001 is a deficient number, since it is larger than the sum of its proper divisors (248948518530).

504101420001 is an frugal number, since it uses more digits than its factorization.

504101420001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157790 (or 78892 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 504101420001 its reverse (100024101405), we get a palindrome (604125521406).

The spelling of 504101420001 in words is "five hundred four billion, one hundred one million, four hundred twenty thousand, one".

Divisors: 1 3 9 27 81 78889 236667 710001 2130003 6390009 6223474321 18670422963 56011268889 168033806667 504101420001