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30754525140 = 22325170858473
BaseRepresentation
bin11100101001000111…
…001100111111010100
32221101100001202021200
4130221013030333110
51000441124301030
622043424112500
72136061102413
oct345107147724
987340052250
1030754525140
1112052144a29
125b63765730
132b917b5491
1416ba73747a
15beeebbd60
hex7291ccfd4

30754525140 has 36 divisors (see below), whose sum is σ = 93288726804. Its totient is φ = 8201206656.

The previous prime is 30754525133. The next prime is 30754525181. The reversal of 30754525140 is 4152545703.

30754525140 is a `hidden beast` number, since 30 + 75 + 45 + 2 + 514 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24042983364 + 6711541776 = 155058^2 + 81924^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30754525095 and 30754525104.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 85429057 + ... + 85429416.

Almost surely, 230754525140 is an apocalyptic number.

30754525140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30754525140 is an abundant number, since it is smaller than the sum of its proper divisors (62534201664).

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

30754525140 is a wasteful number, since it uses less digits than its factorization.

30754525140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170858488 (or 170858483 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 30754525140 in words is "thirty billion, seven hundred fifty-four million, five hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 170858473 341716946 512575419 683433892 854292365 1025150838 1537726257 1708584730 2050301676 2562877095 3075452514 3417169460 5125754190 6150905028 7688631285 10251508380 15377262570 30754525140