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30144424240 = 245760538893
BaseRepresentation
bin11100000100101111…
…110110100100110000
32212210211001102012001
4130010233312210300
5443213433033430
621503111343344
72115002243530
oct340457664460
985724042161
1030144424240
1111869818107
125a13381b54
132ac5291128
14165d6c14c0
15bb66563ca
hex704bf6930

30144424240 has 80 divisors (see below), whose sum is σ = 80120282688. Its totient is φ = 10332361728.

The previous prime is 30144424223. The next prime is 30144424283. The reversal of 30144424240 is 4242444103.

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

It is a super-2 number, since 2×301444242402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 30144424199 and 30144424208.

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, 3385234 + ... + 3394126.

Almost surely, 230144424240 is an apocalyptic number.

It is an amenable number.

30144424240 is an abundant number, since it is smaller than the sum of its proper divisors (49975858448).

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

30144424240 is a wasteful number, since it uses less digits than its factorization.

30144424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14966 (or 14960 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 30144424240 its reverse (4242444103), we get a palindrome (34386868343).

The spelling of 30144424240 in words is "thirty billion, one hundred forty-four million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 6053 8893 12106 17786 24212 30265 35572 42371 44465 48424 60530 62251 71144 84742 88930 96848 121060 124502 142288 169484 177860 211855 242120 249004 311255 338968 355720 423710 484240 498008 622510 677936 711440 847420 996016 1245020 1694840 2490040 3389680 4980080 53829329 107658658 215317316 269146645 376805303 430634632 538293290 753610606 861269264 1076586580 1507221212 1884026515 2153173160 3014442424 3768053030 4306346320 6028884848 7536106060 15072212120 30144424240