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120020034062640 = 24353111607985451
BaseRepresentation
bin11011010010100001010111…
…011111110000100100110000
3120201221210200112101212100110
4123102201113133300210300
5111212402012210001030
61103132235324221320
734165106221000065
oct3322412737604460
9521853615355313
10120020034062640
1135273235348a78
121156482a69a840
1351c7ac0b9c7ca
14218d001aa0c6c
15dd1ee339e1b0
hex6d28577f0930

120020034062640 has 80 divisors (see below), whose sum is σ = 373258447001856. Its totient is φ = 31902431328000.

The previous prime is 120020034062623. The next prime is 120020034062681. The reversal of 120020034062640 is 46260430020021.

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 = 120020034062598 and 120020034062607.

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, 803918086 + ... + 804067365.

Almost surely, 2120020034062640 is an apocalyptic number.

120020034062640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120020034062640 is an abundant number, since it is smaller than the sum of its proper divisors (253238412939216).

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

120020034062640 is a wasteful number, since it uses less digits than its factorization.

120020034062640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607985778 (or 1607985772 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 120020034062640 its reverse (46260430020021), we get a palindrome (166280464082661).

The spelling of 120020034062640 in words is "one hundred twenty trillion, twenty billion, thirty-four million, sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 311 622 933 1244 1555 1866 2488 3110 3732 4665 4976 6220 7464 9330 12440 14928 18660 24880 37320 74640 1607985451 3215970902 4823956353 6431941804 8039927255 9647912706 12863883608 16079854510 19295825412 24119781765 25727767216 32159709020 38591650824 48239563530 64319418040 77183301648 96479127060 128638836080 192958254120 385916508240 500083475261 1000166950522 1500250425783 2000333901044 2500417376305 3000500851566 4000667802088 5000834752610 6001001703132 7501252128915 8001335604176 10001669505220 12002003406264 15002504257830 20003339010440 24004006812528 30005008515660 40006678020880 60010017031320 120020034062640