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30574115440 = 24511231310091
BaseRepresentation
bin11100011110010110…
…111111101001110000
32220220202120222200221
4130132112333221300
51000103433143230
622013501222424
72131440456541
oct343626775160
986822528627
1030574115440
1111a6a322500
125b13261a14
132b632c9c8b
1416a07b44c8
15bde23227a
hex71e5bfa70

30574115440 has 120 divisors (see below), whose sum is σ = 78391951344. Its totient is φ = 11081241600.

The previous prime is 30574115437. The next prime is 30574115461. The reversal of 30574115440 is 4451147503.

It is a junction number, because it is equal to n+sod(n) for n = 30574115396 and 30574115405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3024795 + ... + 3034885.

Almost surely, 230574115440 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 30574115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39195975672).

30574115440 is an abundant number, since it is smaller than the sum of its proper divisors (47817835904).

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

30574115440 is a wasteful number, since it uses less digits than its factorization.

30574115440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10439 (or 10422 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 30574115440 in words is "thirty billion, five hundred seventy-four million, one hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 313 440 484 605 626 880 968 1210 1252 1565 1936 2420 2504 3130 3443 4840 5008 6260 6886 9680 10091 12520 13772 17215 20182 25040 27544 34430 37873 40364 50455 55088 68860 75746 80728 100910 111001 137720 151492 161456 189365 201820 222002 275440 302984 378730 403640 444004 555005 605968 757460 807280 888008 1110010 1221011 1514920 1776016 2220020 2442022 3029840 3158483 4440040 4884044 6105055 6316966 8880080 9768088 12210110 12633932 15792415 19536176 24420220 25267864 31584830 34743313 48840440 50535728 63169660 69486626 97680880 126339320 138973252 173716565 252678640 277946504 347433130 382176443 555893008 694866260 764352886 1389732520 1528705772 1910882215 2779465040 3057411544 3821764430 6114823088 7643528860 15287057720 30574115440