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40264424604 = 223237177717011
BaseRepresentation
bin100101011111111100…
…100101110010011100
310211221002121200212100
4211133330211302130
51124430143041404
630255222205100
72623534651005
oct453774456234
9124832550770
1040264424604
1116092244178
127978583790
133a48aa5721
141d3d7601ac
1510a9d19d39
hex95ff25c9c

40264424604 has 72 divisors (see below), whose sum is σ = 104595287888. Its totient is φ = 13050616320.

The previous prime is 40264424597. The next prime is 40264424609. The reversal of 40264424604 is 40642446204.

40264424604 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 4 + 42 + 4 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40264424609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2358459 + ... + 2375469.

Almost surely, 240264424604 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 40264424604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52297643944).

40264424604 is an abundant number, since it is smaller than the sum of its proper divisors (64330863284).

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

40264424604 is a wasteful number, since it uses less digits than its factorization.

40264424604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18835 (or 18830 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 40264424604 in words is "forty billion, two hundred sixty-four million, four hundred twenty-four thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1777 3554 5331 7108 10662 15993 17011 21324 31986 34022 51033 63972 65749 68044 102066 131498 153099 197247 204132 262996 306198 394494 591741 612396 629407 788988 1183482 1258814 1888221 2366964 2517628 3776442 5664663 7552884 11329326 22658652 30228547 60457094 90685641 120914188 181371282 272056923 362742564 544113846 1088227692 1118456239 2236912478 3355368717 4473824956 6710737434 10066106151 13421474868 20132212302 40264424604