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30144040100 = 2252973107633
BaseRepresentation
bin11100000100101110…
…011000110010100100
32212210210022220020122
4130010232120302210
5443213333240400
621503055221112
72114666053556
oct340456306244
985723286218
1030144040100
1111869585539
125a13217798
132ac5188325
14165d6214d6
15bb65cc685
hex704b98ca4

30144040100 has 36 divisors (see below), whose sum is σ = 66086944644. Its totient is φ = 11933306880.

The previous prime is 30144040099. The next prime is 30144040103. The reversal of 30144040100 is 104044103.

It can be written as a sum of positive squares in 6 ways, for example, as 2967198784 + 27176841316 = 54472^2 + 164854^2 .

It is not an unprimeable number, because it can be changed into a prime (30144040103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1544117 + ... + 1563516.

Almost surely, 230144040100 is an apocalyptic number.

It is an amenable number.

30144040100 is an abundant number, since it is smaller than the sum of its proper divisors (35942904544).

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

30144040100 is a wasteful number, since it uses less digits than its factorization.

30144040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107744 (or 3107737 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 30144040100 its reverse (104044103), we get a palindrome (30248084203).

The spelling of 30144040100 in words is "thirty billion, one hundred forty-four million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9700 3107633 6215266 12430532 15538165 31076330 62152660 77690825 155381650 301440401 310763300 602880802 1205761604 1507202005 3014404010 6028808020 7536010025 15072020050 30144040100