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314315452352 = 26111747558787
BaseRepresentation
bin1001001001011101010…
…10010010111111000000
31010001022011222100121002
410210232222102333000
520122204223433402
6400221114551132
731465013156126
oct4445652227700
91101264870532
10314315452352
11111333973560
1250abb7384a8
13238418b8a85
14112da491916
158299354602
hex492ea92fc0

314315452352 has 112 divisors (see below), whose sum is σ = 735776275968. Its totient is φ = 131605278720.

The previous prime is 314315452351. The next prime is 314315452379. The reversal of 314315452352 is 253254513413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314315452351) 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, 283103 + ... + 841889.

Almost surely, 2314315452352 is an apocalyptic number.

314315452352 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 314315452352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367888137984).

314315452352 is an abundant number, since it is smaller than the sum of its proper divisors (421460823616).

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

314315452352 is a wasteful number, since it uses less digits than its factorization.

314315452352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558874 (or 558864 counting only the distinct ones).

The product of its digits is 216000, while the sum is 38.

Adding to 314315452352 its reverse (253254513413), we get a palindrome (567569965765).

It can be divided in two parts, 314315 and 452352, that added together give a palindrome (766667).

The spelling of 314315452352 in words is "three hundred fourteen billion, three hundred fifteen million, four hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 47 64 68 88 94 136 176 187 188 272 352 374 376 517 544 704 748 752 799 1034 1088 1496 1504 1598 2068 2992 3008 3196 4136 5984 6392 8272 8789 11968 12784 16544 17578 25568 33088 35156 51136 70312 140624 281248 558787 562496 1117574 2235148 4470296 6146657 8940592 9499379 12293314 17881184 18998758 24586628 26262989 35762368 37997516 49173256 52525978 75995032 98346512 104493169 105051956 151990064 196693024 208986338 210103912 288892879 303980128 393386048 417972676 420207824 446470813 577785758 607960256 835945352 840415648 892941626 1155571516 1671890704 1680831296 1785883252 2311143032 3343781408 3571766504 4622286064 4911178943 6687562816 7143533008 9244572128 9822357886 14287066016 18489144256 19644715772 28574132032 39289431544 78578863088 157157726176 314315452352