Search a number
-
+
30132044145 = 3457172921559
BaseRepresentation
bin11100000100000000…
…101000000101110001
32212202221202102220000
4130010000220011301
5443202300403040
621501550140213
72114462102130
oct340400500561
985687672800
1030132044145
1111862831825
125a0b1b1669
132ac2848128
14165bbbb917
15bb550d130
hex704028171

30132044145 has 160 divisors (see below), whose sum is σ = 67619059200. Its totient is φ = 12516747264.

The previous prime is 30132044141. The next prime is 30132044149. The reversal of 30132044145 is 54144023103.

It is a happy number.

30132044145 is a `hidden beast` number, since 30 + 13 + 204 + 414 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (30132044141) and next prime (30132044149).

It is not a de Polignac number, because 30132044145 - 22 = 30132044141 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (30132044141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1386876 + ... + 1408434.

It is an arithmetic number, because the mean of its divisors is an integer number (422619120).

Almost surely, 230132044145 is an apocalyptic number.

30132044145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

30132044145 is an abundant number, since it is smaller than the sum of its proper divisors (37487015055).

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

30132044145 is a wasteful number, since it uses less digits than its factorization.

30132044145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21629 (or 21620 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 30132044145 its reverse (54144023103), we get a palindrome (84276067248).

The spelling of 30132044145 in words is "thirty billion, one hundred thirty-two million, forty-four thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 27 29 35 45 51 63 81 85 87 105 119 135 145 153 189 203 255 261 315 357 405 435 459 493 567 595 609 765 783 945 1015 1071 1305 1377 1479 1785 1827 2295 2349 2465 2835 3045 3213 3451 3915 4437 5355 5481 6885 7395 9135 9639 10353 11745 13311 16065 16443 17255 21559 22185 27405 31059 39933 48195 51765 64677 66555 82215 93177 107795 150913 155295 194031 199665 279531 323385 366503 452739 465885 582093 625211 754565 970155 1099509 1358217 1397655 1746279 1832515 1875633 2263695 2565521 2910465 3126055 3298527 4074651 4376477 5497545 5626899 6791085 7696563 8731395 9378165 9895581 10628587 12223953 12827605 13129431 16492635 16880697 20373255 21882385 23089689 28134495 29686743 31885761 38482815 39388293 49477905 50642091 53142935 61119765 65647155 69269067 74400109 84403485 95657283 115448445 118164879 148433715 159428805 196941465 207807201 223200327 253210455 286971849 346345335 354494637 372000545 478286415 590824395 669600981 860915547 1039036005 1116001635 1434859245 1772473185 2008802943 3348004905 4304577735 6026408829 10044014715 30132044145