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30440505152 = 262321795023
BaseRepresentation
bin11100010110011001…
…010011111101000000
32220120110011212211202
4130112121103331000
5444320232131102
621552325400332
72125226011301
oct342631237500
986513155752
1030440505152
1111a00965082
125a965690a8
132b41719135
14168ab547a8
15bd263de02
hex716653f40

30440505152 has 84 divisors (see below), whose sum is σ = 63511297920. Its totient is φ = 14474287872.

The previous prime is 30440505143. The next prime is 30440505191. The reversal of 30440505152 is 25150504403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6057713 + ... + 6062735.

It is an arithmetic number, because the mean of its divisors is an integer number (756086880).

Almost surely, 230440505152 is an apocalyptic number.

30440505152 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 30440505152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31755648960).

30440505152 is an abundant number, since it is smaller than the sum of its proper divisors (33070792768).

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

30440505152 is a wasteful number, since it uses less digits than its factorization.

30440505152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5260 (or 5227 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The spelling of 30440505152 in words is "thirty billion, four hundred forty million, five hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 179 184 358 368 529 716 736 1058 1432 1472 2116 2864 4117 4232 5023 5728 8234 8464 10046 11456 16468 16928 20092 32936 33856 40184 65872 80368 94691 115529 131744 160736 189382 231058 263488 321472 378764 462116 757528 899117 924232 1515056 1798234 1848464 2657167 3030112 3596468 3696928 5314334 6060224 7192936 7393856 10628668 14385872 20679691 21257336 28771744 41359382 42514672 57543488 82718764 85029344 165437528 170058688 330875056 475632893 661750112 951265786 1323500224 1902531572 3805063144 7610126288 15220252576 30440505152