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3001542230640 = 243560120809361
BaseRepresentation
bin101011101011011001110…
…110111100001001110000
3101121221111122020201011110
4223223121312330021300
5343134124302340030
610214520042513320
7426566005000242
oct53533166741160
911557448221143
103001542230640
11a57a46380458
12405876505840
1318a0761ba105
14a53bda70092
1553124d311b0
hex2bad9dbc270

3001542230640 has 80 divisors (see below), whose sum is σ = 9320263527456. Its totient is φ = 799079424000.

The previous prime is 3001542230639. The next prime is 3001542230651. The reversal of 3001542230640 is 460322451003.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 3001542230598 and 3001542230607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10260441 + ... + 10548920.

Almost surely, 23001542230640 is an apocalyptic number.

3001542230640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3001542230640 is an abundant number, since it is smaller than the sum of its proper divisors (6318721296816).

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

3001542230640 is a wasteful number, since it uses less digits than its factorization.

3001542230640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20809978 (or 20809972 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 3001542230640 its reverse (460322451003), we get a palindrome (3461864681643).

The spelling of 3001542230640 in words is "three trillion, one billion, five hundred forty-two million, two hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 601 1202 1803 2404 3005 3606 4808 6010 7212 9015 9616 12020 14424 18030 24040 28848 36060 48080 72120 144240 20809361 41618722 62428083 83237444 104046805 124856166 166474888 208093610 249712332 312140415 332949776 416187220 499424664 624280830 832374440 998849328 1248561660 1664748880 2497123320 4994246640 12506425961 25012851922 37519277883 50025703844 62532129805 75038555766 100051407688 125064259610 150077111532 187596389415 200102815376 250128519220 300154223064 375192778830 500257038440 600308446128 750385557660 1000514076880 1500771115320 3001542230640