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30350503232 = 2671013132143
BaseRepresentation
bin11100010001000001…
…111110110101000000
32220100011211022102022
4130101001332311000
5444124212100412
621535352341012
72123054010110
oct342101766500
986304738368
1030350503232
1111965082325
125a703a4768
132b28b9636a
14167cc07040
15bc97b1a72
hex71107ed40

30350503232 has 112 divisors (see below), whose sum is σ = 69766720512. Its totient is φ = 12831436800.

The previous prime is 30350503229. The next prime is 30350503237. The reversal of 30350503232 is 23230505303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30350503237) 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, 14161553 + ... + 14163695.

Almost surely, 230350503232 is an apocalyptic number.

30350503232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30350503232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34883360256).

30350503232 is an abundant number, since it is smaller than the sum of its proper divisors (39416217280).

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

30350503232 is a wasteful number, since it uses less digits than its factorization.

30350503232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 26.

The spelling of 30350503232 in words is "thirty billion, three hundred fifty million, five hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 202 224 313 404 448 626 707 808 1252 1414 1616 2143 2191 2504 2828 3232 4286 4382 5008 5656 6464 8572 8764 10016 11312 15001 17144 17528 20032 22624 30002 31613 34288 35056 45248 60004 63226 68576 70112 120008 126452 137152 140224 216443 221291 240016 252904 432886 442582 480032 505808 670759 865772 885164 960064 1011616 1341518 1515101 1731544 1770328 2023232 2683036 3030202 3463088 3540656 4695313 5366072 6060404 6926176 7081312 9390626 10732144 12120808 13852352 14162624 18781252 21464288 24241616 37562504 42928576 48483232 67746659 75125008 96966464 135493318 150250016 270986636 300500032 474226613 541973272 948453226 1083946544 1896906452 2167893088 3793812904 4335786176 7587625808 15175251616 30350503232