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14280357292096 = 2672674812
BaseRepresentation
bin1100111111001110011110…
…0111111010100001000000
31212120012002122122000212111
43033303213213322201000
53332432132431321341
650212150000505104
73002502365124100
oct317634747724100
955505078560774
1014280357292096
1146062a1448795
12172776691b194
137c782a41526c
1437525c933200
1519b6e8dba681
hexcfce79fa840

14280357292096 has 63 divisors (see below), whose sum is σ = 32964616830477. Its totient is φ = 6120062430720.

The previous prime is 14280357292037. The next prime is 14280357292121. The reversal of 14280357292096 is 69029275308241.

The square root of 14280357292096 is 3778936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13943771666496 + 336585625600 = 3734136^2 + 580160^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14280357292096.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 211586676 + ... + 211654156.

It is a 1-persistent number, because it is pandigital, but 2⋅14280357292096 = 28560714584192 is not.

Almost surely, 214280357292096 is an apocalyptic number.

14280357292096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14280357292096 is the 3778936-th square number.

It is an amenable number.

14280357292096 is an abundant number, since it is smaller than the sum of its proper divisors (18684259538381).

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

14280357292096 is an frugal number, since it uses more digits than its factorization.

14280357292096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134988 (or 67490 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 14280357292096 in words is "fourteen trillion, two hundred eighty billion, three hundred fifty-seven million, two hundred ninety-two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 67481 134962 269924 472367 539848 944734 1079696 1889468 2159392 3306569 3778936 4318784 6613138 7557872 13226276 15115744 26452552 30231488 52905104 105810208 211620416 4553685361 9107370722 18214741444 31875797527 36429482888 63751595054 72858965776 127503190108 145717931552 223130582689 255006380216 291435863104 446261165378 510012760432 892522330756 1020025520864 1785044661512 2040051041728 3570089323024 7140178646048 14280357292096