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344412012544 = 214237511217
BaseRepresentation
bin1010000001100001000…
…11100100000000000000
31012220222122222000122121
411000300203210000000
521120323433400134
6422115400414024
733611564542435
oct5006043440000
91186878860577
10344412012544
111230786696a6
12568baa77314
1326629c8ba82
1412953673b8c
158e5b6a3ab4
hex50308e4000

344412012544 has 120 divisors (see below), whose sum is σ = 720299397888. Its totient is φ = 164364288000.

The previous prime is 344412012517. The next prime is 344412012559. The reversal of 344412012544 is 445210214443.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283000224 + ... + 283001440.

Almost surely, 2344412012544 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 344412012544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360149698944).

344412012544 is an abundant number, since it is smaller than the sum of its proper divisors (375887385344).

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

344412012544 is an equidigital number, since it uses as much as digits as its factorization.

344412012544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 344412012544 its reverse (445210214443), we get a palindrome (789622226987).

The spelling of 344412012544 in words is "three hundred forty-four billion, four hundred twelve million, twelve thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 751 1024 1217 1472 1502 2048 2434 2944 3004 4096 4868 5888 6008 8192 9736 11776 12016 16384 17273 19472 23552 24032 27991 34546 38944 47104 48064 55982 69092 77888 94208 96128 111964 138184 155776 188416 192256 223928 276368 311552 376832 384512 447856 552736 623104 769024 895712 913967 1105472 1246208 1538048 1791424 1827934 2210944 2492416 3076096 3582848 3655868 4421888 4984832 6152192 7165696 7311736 8843776 9969664 12304384 14331392 14623472 17687552 19939328 21021241 28662784 29246944 35375104 42042482 57325568 58493888 70750208 84084964 114651136 116987776 141500416 168169928 229302272 233975552 283000832 336339856 458604544 467951104 672679712 935902208 1345359424 1871804416 2690718848 3743608832 5381437696 7487217664 10762875392 14974435328 21525750784 43051501568 86103003136 172206006272 344412012544