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306525411140 = 225134161471389
BaseRepresentation
bin1000111010111100101…
…01101001011101000100
31002022012021122021000012
410131132111221131010
520010231001124030
6352452115205352
731100662001534
oct4353625513504
91068167567005
10306525411140
11108aa6670273
124b4a68a6858
1322b9ca08b30
1410b9ba3d4c4
157e904ce095
hex475e569744

306525411140 has 96 divisors (see below), whose sum is σ = 721769741280. Its totient is φ = 108607795200.

The previous prime is 306525411131. The next prime is 306525411151. The reversal of 306525411140 is 41114525603.

It can be written as a sum of positive squares in 16 ways, for example, as 203525495044 + 102999916096 = 451138^2 + 320936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 306525411097 and 306525411106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414566 + ... + 885954.

It is an arithmetic number, because the mean of its divisors is an integer number (7518434805).

Almost surely, 2306525411140 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 306525411140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360884870640).

306525411140 is an abundant number, since it is smaller than the sum of its proper divisors (415244330140).

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

306525411140 is a wasteful number, since it uses less digits than its factorization.

306525411140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471513 (or 471511 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 306525411140 its reverse (41114525603), we get a palindrome (347639936743).

The spelling of 306525411140 in words is "three hundred six billion, five hundred twenty-five million, four hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 61 65 82 122 130 164 205 244 260 305 410 533 610 793 820 1066 1220 1586 2132 2501 2665 3172 3965 5002 5330 7930 10004 10660 12505 15860 25010 32513 50020 65026 130052 162565 325130 471389 650260 942778 1885556 2356945 4713890 6128057 9427780 12256114 19326949 24512228 28754729 30640285 38653898 57509458 61280570 77307796 96634745 115018916 122561140 143773645 193269490 251250337 287547290 373811477 386538980 502500674 575094580 747622954 1005001348 1178943889 1256251685 1495245908 1869057385 2357887778 2512503370 3738114770 4715775556 5025006740 5894719445 7476229540 11789438890 15326270557 23578877780 30652541114 61305082228 76631352785 153262705570 306525411140