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40004230440 = 2335834319319
BaseRepresentation
bin100101010000011100…
…000001110100101000
310211020222000110120110
4211100130001310220
51123412040333230
630213325254320
72614225230306
oct452034016450
9124228013513
1040004230440
1115a69388479
1279054043a0
133a06c03c95
141d16d8d276
1510920704b0
hex950701d28

40004230440 has 128 divisors (see below), whose sum is σ = 121753497600. Its totient is φ = 10513685760.

The previous prime is 40004230421. The next prime is 40004230451. The reversal of 40004230440 is 4403240004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4288101 + ... + 4297419.

It is an arithmetic number, because the mean of its divisors is an integer number (951199200).

Almost surely, 240004230440 is an apocalyptic number.

40004230440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40004230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60876748800).

40004230440 is an abundant number, since it is smaller than the sum of its proper divisors (81749267160).

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

40004230440 is a wasteful number, since it uses less digits than its factorization.

40004230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9847 (or 9843 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 40004230440 its reverse (4403240004), we get a palindrome (44407470444).

The spelling of 40004230440 in words is "forty billion, four million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 431 498 664 830 862 996 1245 1293 1660 1724 1992 2155 2490 2586 3320 3448 4310 4980 5172 6465 8620 9319 9960 10344 12930 17240 18638 25860 27957 35773 37276 46595 51720 55914 71546 74552 93190 107319 111828 139785 143092 178865 186380 214638 223656 279570 286184 357730 372760 429276 536595 559140 715460 773477 858552 1073190 1118280 1430920 1546954 2146380 2320431 3093908 3867385 4016489 4292760 4640862 6187816 7734770 8032978 9281724 11602155 12049467 15469540 16065956 18563448 20082445 23204310 24098934 30939080 32131912 40164890 46408620 48197868 60247335 80329780 92817240 96395736 120494670 160659560 240989340 333368587 481978680 666737174 1000105761 1333474348 1666842935 2000211522 2666948696 3333685870 4000423044 5000528805 6667371740 8000846088 10001057610 13334743480 20002115220 40004230440