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30413556140 = 225111273493119
BaseRepresentation
bin11100010100110010…
…100000100110101100
32220111120110201202012
4130110302200212230
5444241332244030
621545524020352
72124450650612
oct342462404654
986446421665
1030413556140
1111997728970
125a895316b8
132b38c71a86
14168733b6b2
15bd00b9095
hex714ca09ac

30413556140 has 96 divisors (see below), whose sum is σ = 70447104000. Its totient is φ = 10937445120.

The previous prime is 30413556119. The next prime is 30413556149. The reversal of 30413556140 is 4165531403.

It is a junction number, because it is equal to n+sod(n) for n = 30413556097 and 30413556106.

It is not an unprimeable number, because it can be changed into a prime (30413556149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9749501 + ... + 9752619.

It is an arithmetic number, because the mean of its divisors is an integer number (733824000).

Almost surely, 230413556140 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 30413556140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35223552000).

30413556140 is an abundant number, since it is smaller than the sum of its proper divisors (40033547860).

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

30413556140 is a wasteful number, since it uses less digits than its factorization.

30413556140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3615 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 30413556140 in words is "thirty billion, four hundred thirteen million, five hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 349 508 635 698 1270 1396 1397 1745 2540 2794 3119 3490 3839 5588 6238 6980 6985 7678 12476 13970 15356 15595 19195 27940 31190 34309 38390 44323 62380 68618 76780 88646 137236 171545 177292 221615 343090 396113 443230 487553 686180 792226 886460 975106 1088531 1584452 1950212 1980565 2177062 2437765 3961130 4354124 4357243 4875530 5442655 7922260 8714486 9751060 10885310 11973841 17428972 21770620 21786215 23947682 43572430 47895364 59869205 87144860 119738410 138243437 239476820 276486874 552973748 691217185 1382434370 1520677807 2764868740 3041355614 6082711228 7603389035 15206778070 30413556140