Search a number
-
+
3214112314440 = 2335111312406277
BaseRepresentation
bin101110110001011000000…
…001011101010001001000
3102101021012000100210222010
4232301120001131101020
5410130000223030230
610500313125255520
7451132461621006
oct56613001352110
912337160323863
103214112314440
11102a108678665
1243aabb8645a0
131a41217c38a1
14b17c7369a76
1558916ad49b0
hex2ec5805d448

3214112314440 has 64 divisors (see below), whose sum is σ = 9643207210560. Its totient is φ = 857019260160.

The previous prime is 3214112314381. The next prime is 3214112314519. The reversal of 3214112314440 is 444132114123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3214112314398 and 3214112314407.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 132582 + ... + 2538858.

It is an arithmetic number, because the mean of its divisors is an integer number (150675112665).

Almost surely, 23214112314440 is an apocalyptic number.

3214112314440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3214112314440 is an abundant number, since it is smaller than the sum of its proper divisors (6429094896120).

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

3214112314440 is a wasteful number, since it uses less digits than its factorization.

3214112314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417422 (or 2417418 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 3214112314440 its reverse (444132114123), we get a palindrome (3658244428563).

The spelling of 3214112314440 in words is "three trillion, two hundred fourteen billion, one hundred twelve million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 11131 22262 33393 44524 55655 66786 89048 111310 133572 166965 222620 267144 333930 445240 667860 1335720 2406277 4812554 7218831 9625108 12031385 14437662 19250216 24062770 28875324 36094155 48125540 57750648 72188310 96251080 144376620 288753240 26784269287 53568538574 80352807861 107137077148 133921346435 160705615722 214274154296 267842692870 321411231444 401764039305 535685385740 642822462888 803528078610 1071370771480 1607056157220 3214112314440