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30187623440 = 2451329026561
BaseRepresentation
bin11100000111010100…
…101001010000010000
32212220211100011100102
4130013110221100100
5443311012422230
621511253311532
72116035364652
oct340724512020
985824304312
1030187623440
1111891143327
125a259355a8
132b01207ba0
1416653286d2
15bba33b045
hex707529410

30187623440 has 40 divisors (see below), whose sum is σ = 75585167448. Its totient is φ = 11146199040.

The previous prime is 30187623421. The next prime is 30187623463. The reversal of 30187623440 is 4432678103.

It can be written as a sum of positive squares in 4 ways, for example, as 1215498496 + 28972124944 = 34864^2 + 170212^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×301876234402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30187623394 and 30187623403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14512241 + ... + 14514320.

Almost surely, 230187623440 is an apocalyptic number.

It is an amenable number.

30187623440 is an abundant number, since it is smaller than the sum of its proper divisors (45397544008).

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

30187623440 is a wasteful number, since it uses less digits than its factorization.

30187623440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29026587 (or 29026581 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 30187623440 in words is "thirty billion, one hundred eighty-seven million, six hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 29026561 58053122 116106244 145132805 232212488 290265610 377345293 464424976 580531220 754690586 1161062440 1509381172 1886726465 2322124880 3018762344 3773452930 6037524688 7546905860 15093811720 30187623440