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30354145040 = 2451372127653
BaseRepresentation
bin11100010001001111…
…110111111100010000
32220100102200100001002
4130101033313330100
5444131130120130
621540002401132
72123126655452
oct342117677420
986312610032
1030354145040
111196713a48a
125a716601a8
132b2986cb8b
14167d4b42d2
15bc9c80b45
hex7113f7f10

30354145040 has 40 divisors (see below), whose sum is σ = 70581082968. Its totient is φ = 12140334080.

The previous prime is 30354145037. The next prime is 30354145103. The reversal of 30354145040 is 4054145303.

It can be written as a sum of positive squares in 4 ways, for example, as 1057030144 + 29297114896 = 32512^2 + 171164^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×303541450402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30354144994 and 30354145012.

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 7 ways as a sum of consecutive naturals, for example, 1083854 + ... + 1111506.

Almost surely, 230354145040 is an apocalyptic number.

It is an amenable number.

30354145040 is an abundant number, since it is smaller than the sum of its proper divisors (40226937928).

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

30354145040 is a wasteful number, since it uses less digits than its factorization.

30354145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41387 (or 41381 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 30354145040 in words is "thirty billion, three hundred fifty-four million, one hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 13721 27442 27653 54884 55306 68605 109768 110612 137210 138265 219536 221224 274420 276530 442448 548840 553060 1097680 1106120 2212240 379426813 758853626 1517707252 1897134065 3035414504 3794268130 6070829008 7588536260 15177072520 30354145040