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30361514004 = 22321749610317
BaseRepresentation
bin11100010001101011…
…111111000000010100
32220100221112201100200
4130101223333000110
5444140021422004
621540424340500
72123246416353
oct342153770024
986327481320
1030361514004
1111970312938
125a74014730
132b2b250003
14168047199a
15bca739239
hex711aff014

30361514004 has 36 divisors (see below), whose sum is σ = 81261700884. Its totient is φ = 9525180672.

The previous prime is 30361513981. The next prime is 30361514009. The reversal of 30361514004 is 40041516303.

30361514004 is a `hidden beast` number, since 3 + 0 + 3 + 615 + 1 + 40 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21450531600 + 8910982404 = 146460^2 + 94398^2 .

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

It is a super-2 number, since 2×303615140042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30361514009) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 24804547 + ... + 24805770.

It is an arithmetic number, because the mean of its divisors is an integer number (2257269469).

Almost surely, 230361514004 is an apocalyptic number.

30361514004 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

30361514004 is an abundant number, since it is smaller than the sum of its proper divisors (50900186880).

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

30361514004 is a wasteful number, since it uses less digits than its factorization.

30361514004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49610344 (or 49610339 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 30361514004 in words is "thirty billion, three hundred sixty-one million, five hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 49610317 99220634 148830951 198441268 297661902 446492853 595323804 843375389 892985706 1686750778 1785971412 2530126167 3373501556 5060252334 7590378501 10120504668 15180757002 30361514004