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423103299840 = 283251329372633
BaseRepresentation
bin1100010100000101110…
…11000000000100000000
31111110002210111121022200
412022002323000010000
523413003421043330
6522212044033200
742365615465214
oct6120273000400
91443083447280
10423103299840
11153489867531
126a000532800
1330b8ac27c70
141669a6a0944
15b014d10a60
hex6282ec0100

423103299840 has 864 divisors, whose sum is σ = 1675576113120. Its totient is φ = 97802256384.

The previous prime is 423103299821. The next prime is 423103299859. The reversal of 423103299840 is 48992301324.

423103299840 is a `hidden beast` number, since 4 + 2 + 310 + 3 + 299 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (423103299821) and next prime (423103299859).

It can be written as a sum of positive squares in 16 ways, for example, as 136355901696 + 286747398144 = 369264^2 + 535488^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160691164 + ... + 160693796.

It is an arithmetic number, because the mean of its divisors is an integer number (1939324205).

Almost surely, 2423103299840 is an apocalyptic number.

423103299840 is a gapful number since it is divisible by the number (40) 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 423103299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837788056560).

423103299840 is an abundant number, since it is smaller than the sum of its proper divisors (1252472813280).

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

423103299840 is a wasteful number, since it uses less digits than its factorization.

423103299840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 423103299840 in words is "four hundred twenty-three billion, one hundred three million, two hundred ninety-nine thousand, eight hundred forty".