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4431232040040 = 2332513946844453
BaseRepresentation
bin100000001111011101000…
…0000101111110001101000
3120200121210011212002111200
41000132322000233301220
51040100130400240130
613231402505124200
7635101026604341
oct100367200576150
916617704762450
104431232040040
111459302a67a03
125b6976789660
13261b2bb30a30
1411468941b0c8
157a3ee746760
hex407ba02fc68

4431232040040 has 96 divisors (see below), whose sum is σ = 15509312156520. Its totient is φ = 1090764808704.

The previous prime is 4431232040021. The next prime is 4431232040051. The reversal of 4431232040040 is 400402321344.

It is a happy number.

4431232040040 is a `hidden beast` number, since 4 + 431 + 23 + 204 + 0 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3388345836516 + 1042886203524 = 1840746^2 + 1021218^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4431232039986 and 4431232040013.

It is an unprimeable number.

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, 473417547 + ... + 473426906.

Almost surely, 24431232040040 is an apocalyptic number.

4431232040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4431232040040 is an abundant number, since it is smaller than the sum of its proper divisors (11078080116480).

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

4431232040040 is a wasteful number, since it uses less digits than its factorization.

4431232040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946844483 (or 946844476 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4431232040040 its reverse (400402321344), we get a palindrome (4831634361384).

The spelling of 4431232040040 in words is "four trillion, four hundred thirty-one billion, two hundred thirty-two million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 946844453 1893688906 2840533359 3787377812 4734222265 5681066718 7574755624 8521600077 9468444530 11362133436 12308977889 14202666795 17043200154 18936889060 22724266872 24617955778 28405333590 34086400308 36926933667 37873778120 42608000385 49235911556 56810667180 61544889445 68172800616 73853867334 85216000770 98471823112 110780801001 113621334360 123089778890 147707734668 170432001540 184634668335 221561602002 246179557780 295415469336 340864003080 369269336670 443123204004 492359115560 553904005005 738538673340 886246408008 1107808010010 1477077346680 2215616020020 4431232040040