Search a number
-
+
40428465308 = 22711263118911
BaseRepresentation
bin100101101001101110…
…010110110010011100
310212100112021211101222
4211221232112302130
51130244141342213
630323402152512
72630566166540
oct455156266234
9125315254358
1040428465308
11161668a6400
127a034b2738
133a73a7c42a
141d57461a20
1510b941e808
hex969b96c9c

40428465308 has 72 divisors (see below), whose sum is σ = 89021356032. Its totient is φ = 15725556000.

The previous prime is 40428465307. The next prime is 40428465313. The reversal of 40428465308 is 80356482404.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40428465307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2128373 + ... + 2147283.

Almost surely, 240428465308 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 40428465308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44510678016).

40428465308 is an abundant number, since it is smaller than the sum of its proper divisors (48592890724).

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

40428465308 is a wasteful number, since it uses less digits than its factorization.

40428465308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19575 (or 19562 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 44.

The spelling of 40428465308 in words is "forty billion, four hundred twenty-eight million, four hundred sixty-five thousand, three hundred eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 484 631 847 1262 1694 2524 3388 4417 6941 8834 13882 17668 18911 27764 37822 48587 75644 76351 97174 132377 152702 194348 208021 264754 305404 416042 529508 534457 832084 1068914 1456147 2137828 2288231 2912294 4576462 5824588 9152924 11932841 16017617 23865682 32035234 47731364 64070468 83529887 131261251 167059774 262522502 334119548 525045004 918828757 1443873761 1837657514 2887747522 3675315028 5775495044 10107116327 20214232654 40428465308