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30465144112 = 24136113118329
BaseRepresentation
bin11100010111110111…
…010011010100110000
32220122011112200010211
4130113313103110300
5444343034102422
621555005433504
72125645311064
oct342767232460
986564480124
1030465144112
1111a13863757
125aa286b894
132b46864bc0
141690129aa4
15bd48a9577
hex717dd3530

30465144112 has 80 divisors (see below), whose sum is σ = 65105520480. Its totient is φ = 13724006400.

The previous prime is 30465144097. The next prime is 30465144131. The reversal of 30465144112 is 21144156403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1652964 + ... + 1671292.

It is an arithmetic number, because the mean of its divisors is an integer number (813819006).

Almost surely, 230465144112 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 30465144112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32552760240).

30465144112 is an abundant number, since it is smaller than the sum of its proper divisors (34640376368).

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

30465144112 is a wasteful number, since it uses less digits than its factorization.

30465144112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18542 (or 18536 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 30465144112 in words is "thirty billion, four hundred sixty-five million, one hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 131 208 244 262 488 524 793 976 1048 1586 1703 2096 3172 3406 6344 6812 7991 12688 13624 15982 18329 27248 31964 36658 63928 73316 103883 127856 146632 207766 238277 293264 415532 476554 831064 953108 1118069 1662128 1906216 2236138 2401099 3812432 4472276 4802198 8944552 9604396 14534897 17889104 19208792 29069794 31214287 38417584 58139588 62428574 116279176 124857148 146467039 232558352 249714296 292934078 499428592 585868156 1171736312 1904071507 2343472624 3808143014 7616286028 15232572056 30465144112