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14446071312 = 2438913724683
BaseRepresentation
bin11010111010000110…
…11000111000010000
31101021202211110101020
431131003120320100
5214041143240222
610345245235440
71020662402661
oct153503307020
941252743336
1014446071312
116143481212
122971b62b80
131492b615ba
149b0831368
1559839765c
hex35d0d8e10

14446071312 has 80 divisors (see below), whose sum is σ = 38015334720. Its totient is φ = 4726306816.

The previous prime is 14446071287. The next prime is 14446071313. The reversal of 14446071312 is 21317064441.

It is not an unprimeable number, because it can be changed into a prime (14446071313) 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, 572923 + ... + 597605.

It is an arithmetic number, because the mean of its divisors is an integer number (475191684).

Almost surely, 214446071312 is an apocalyptic number.

14446071312 is a gapful number since it is divisible by the number (12) 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 14446071312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19007667360).

14446071312 is an abundant number, since it is smaller than the sum of its proper divisors (23569263408).

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

14446071312 is a wasteful number, since it uses less digits than its factorization.

14446071312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24920 (or 24914 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 14446071312 in words is "fourteen billion, four hundred forty-six million, seventy-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 137 178 267 274 356 411 534 548 712 822 1068 1096 1424 1644 2136 2192 3288 4272 6576 12193 24386 24683 36579 48772 49366 73158 74049 97544 98732 146316 148098 195088 197464 292632 296196 394928 585264 592392 1184784 2196787 3381571 4393574 6590361 6763142 8787148 10144713 13180722 13526284 17574296 20289426 26361444 27052568 35148592 40578852 52722888 54105136 81157704 105445776 162315408 300959819 601919638 902879457 1203839276 1805758914 2407678552 3611517828 4815357104 7223035656 14446071312