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40426220424 = 23337373122051
BaseRepresentation
bin100101101001100101…
…110010101110001000
310212100101001210000010
4211221211302232020
51130243103023144
630323242111520
72630541126642
oct455145625610
9125311053003
1040426220424
1116165602827
127a027ab5a0
133a734746b5
141d57039892
1510b91295b9
hex969972b88

40426220424 has 64 divisors (see below), whose sum is σ = 104076181440. Its totient is φ = 13075948800.

The previous prime is 40426220381. The next prime is 40426220449. The reversal of 40426220424 is 42402262404.

It is a junction number, because it is equal to n+sod(n) for n = 40426220391 and 40426220400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270199 + ... + 392249.

It is an arithmetic number, because the mean of its divisors is an integer number (1626190335).

Almost surely, 240426220424 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 40426220424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52038090720).

40426220424 is an abundant number, since it is smaller than the sum of its proper divisors (63649961016).

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

40426220424 is a wasteful number, since it uses less digits than its factorization.

40426220424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122470 (or 122466 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 40426220424 its reverse (42402262404), we get a palindrome (82828482828).

The spelling of 40426220424 in words is "forty billion, four hundred twenty-six million, two hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 373 444 746 888 1119 1492 2238 2984 4476 8952 13801 27602 41403 55204 82806 110408 122051 165612 244102 331224 366153 488204 732306 976408 1464612 2929224 4515887 9031774 13547661 18063548 27095322 36127096 45525023 54190644 91050046 108381288 136575069 182100092 273150138 364200184 546300276 1092600552 1684425851 3368851702 5053277553 6737703404 10106555106 13475406808 20213110212 40426220424