Search a number
-
+
30432860480 = 265119379227
BaseRepresentation
bin11100010101111100…
…001001100101000000
32220112220210111022202
4130111330021211000
5444311303013410
621551453452332
72125104021521
oct342574114500
986486714282
1030432860480
11119a7613570
125a93aa10a8
132b3cc70669
141689b24848
15bd1b2dca5
hex715f09940

30432860480 has 112 divisors (see below), whose sum is σ = 79149220416. Its totient is φ = 11053486080.

The previous prime is 30432860473. The next prime is 30432860483. The reversal of 30432860480 is 8406823403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30432860483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3293627 + ... + 3302853.

It is an arithmetic number, because the mean of its divisors is an integer number (706689468).

Almost surely, 230432860480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30432860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39574610208).

30432860480 is an abundant number, since it is smaller than the sum of its proper divisors (48716359936).

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

30432860480 is a wasteful number, since it uses less digits than its factorization.

30432860480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10192 (or 10182 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 30432860480 in words is "thirty billion, four hundred thirty-two million, eight hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 937 1760 1874 3520 3748 4685 7496 9227 9370 10307 14992 18454 18740 20614 29984 36908 37480 41228 46135 51535 59968 73816 74960 82456 92270 101497 103070 147632 149920 164912 184540 202994 206140 295264 299840 329824 369080 405988 412280 507485 590528 659648 738160 811976 824560 1014970 1476320 1623952 1649120 2029940 2952640 3247904 3298240 4059880 6495808 8119760 8645699 16239520 17291398 32479040 34582796 43228495 69165592 86456990 95102689 138331184 172913980 190205378 276662368 345827960 380410756 475513445 553324736 691655920 760821512 951026890 1383311840 1521643024 1902053780 2766623680 3043286048 3804107560 6086572096 7608215120 15216430240 30432860480