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40420032320 = 265177430153
BaseRepresentation
bin100101101001001110…
…001011111101000000
310212022221102101112002
4211221032023331000
51130240012013240
630322501323132
72630434414553
oct455116137500
9125287371462
1040420032320
1116162066598
127a007064a8
133a720b8bb5
141d562a869a
1510b8805d15
hex96938bf40

40420032320 has 56 divisors (see below), whose sum is σ = 101911992264. Its totient is φ = 15216951296.

The previous prime is 40420032319. The next prime is 40420032343. The reversal of 40420032320 is 2323002404.

It can be written as a sum of positive squares in 4 ways, for example, as 9797832256 + 30622200064 = 98984^2 + 174992^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40420032292 and 40420032301.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3709637 + ... + 3720516.

Almost surely, 240420032320 is an apocalyptic number.

40420032320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40420032320 is an abundant number, since it is smaller than the sum of its proper divisors (61491959944).

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

40420032320 is a wasteful number, since it uses less digits than its factorization.

40420032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7430187 (or 7430177 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 40420032320 its reverse (2323002404), we get a palindrome (42743034724).

The spelling of 40420032320 in words is "forty billion, four hundred twenty million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 7430153 14860306 29720612 37150765 59441224 74301530 118882448 126312601 148603060 237764896 252625202 297206120 475529792 505250404 594412240 631563005 1010500808 1188824480 1263126010 2021001616 2377648960 2526252020 4042003232 5052504040 8084006464 10105008080 20210016160 40420032320