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40434041440 = 2551319439443
BaseRepresentation
bin100101101010000011…
…101000001001100000
310212100220210010102101
4211222003220021200
51130302103311230
630324121500144
72630664452512
oct455203501140
9125326703371
1040434041440
1116169a64881
127a05341654
133a74c82510
141d580b3bb2
1510b9b71aca
hex96a0e8260

40434041440 has 48 divisors (see below), whose sum is σ = 102873537648. Its totient is φ = 14929491456.

The previous prime is 40434041419. The next prime is 40434041477. The reversal of 40434041440 is 4414043404.

It is a junction number, because it is equal to n+sod(n) for n = 40434041399 and 40434041408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9717642 + ... + 9721801.

It is an arithmetic number, because the mean of its divisors is an integer number (2143198701).

Almost surely, 240434041440 is an apocalyptic number.

40434041440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40434041440 is an abundant number, since it is smaller than the sum of its proper divisors (62439496208).

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

40434041440 is a wasteful number, since it uses less digits than its factorization.

40434041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19439471 (or 19439463 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 40434041440 its reverse (4414043404), we get a palindrome (44848084844).

The spelling of 40434041440 in words is "forty billion, four hundred thirty-four million, forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 19439443 38878886 77757772 97197215 155515544 194394430 252712759 311031088 388788860 505425518 622062176 777577720 1010851036 1263563795 1555155440 2021702072 2527127590 3110310880 4043404144 5054255180 8086808288 10108510360 20217020720 40434041440