Search a number
-
+
40041494424 = 23333714273511
BaseRepresentation
bin100101010010101010…
…001011011110011000
310211100120010200011000
4211102222023132120
51124001110310144
630221140105000
72615160041541
oct452252133630
9124316120130
1040041494424
1115a8841a458
127915995160
133a11850389
141d1bccd4c8
151095481769
hex952a8b798

40041494424 has 128 divisors (see below), whose sum is σ = 114345100800. Its totient is φ = 12973633920.

The previous prime is 40041494417. The next prime is 40041494429. The reversal of 40041494424 is 42449414004.

It is a super-3 number, since 3×400414944243 (a number of 33 digits) contains 333 as substring.

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 (40041494429) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11402829 + ... + 11406339.

It is an arithmetic number, because the mean of its divisors is an integer number (893321100).

Almost surely, 240041494424 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 40041494424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57172550400).

40041494424 is an abundant number, since it is smaller than the sum of its proper divisors (74303606376).

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

40041494424 is a wasteful number, since it uses less digits than its factorization.

40041494424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 40041494424 in words is "forty billion, forty-one million, four hundred ninety-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1427 1998 2664 2854 3511 3996 4281 5708 7022 7992 8562 10533 11416 12843 14044 17124 21066 25686 28088 31599 34248 38529 42132 51372 52799 63198 77058 84264 94797 102744 105598 126396 129907 154116 158397 189594 211196 252792 259814 308232 316794 379188 389721 422392 475191 519628 633588 758376 779442 950382 1039256 1169163 1267176 1425573 1558884 1900764 2338326 2851146 3117768 3507489 3801528 4676652 5010197 5702292 7014978 9353304 10020394 11404584 14029956 15030591 20040788 28059912 30061182 40081576 45091773 60122364 90183546 120244728 135275319 180367092 185377289 270550638 360734184 370754578 541101276 556131867 741509156 1082202552 1112263734 1483018312 1668395601 2224527468 3336791202 4449054936 5005186803 6673582404 10010373606 13347164808 20020747212 40041494424