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30144004038 = 2342233112683
BaseRepresentation
bin11100000100101110…
…001111111111000110
32212210210021001210000
4130010232033333012
5443213331112123
621503054342130
72114665543461
oct340456177706
985723231700
1030144004038
1111869560435
125a131ba946
132ac5174aa5
14165d6122d8
15bb65c1b43
hex704b8ffc6

30144004038 has 80 divisors (see below), whose sum is σ = 68091319296. Its totient is φ = 9967062960.

The previous prime is 30144004021. The next prime is 30144004039. The reversal of 30144004038 is 83040044103.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30144004039) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11233845 + ... + 11236527.

Almost surely, 230144004038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30144004038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34045659648).

30144004038 is an abundant number, since it is smaller than the sum of its proper divisors (37947315258).

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

30144004038 is a wasteful number, since it uses less digits than its factorization.

30144004038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 30144004038 in words is "thirty billion, one hundred forty-four million, four thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 223 311 446 622 669 933 1338 1866 2007 2683 2799 4014 5366 5598 6021 8049 8397 12042 16098 16794 18063 24147 25191 36126 48294 50382 69353 72441 138706 144882 208059 217323 416118 434646 598309 624177 834413 1196618 1248354 1668826 1794927 1872531 2503239 3589854 3745062 5006478 5384781 5617593 7509717 10769562 11235186 15019434 16154343 22529151 32308686 45058302 48463029 67587453 96926058 135174906 186074099 372148198 558222297 1116444594 1674666891 3349333782 5024000673 10048001346 15072002019 30144004038