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12314203251948 = 22331326893261733
BaseRepresentation
bin1011001100110001111110…
…1101011110010011101100
31121121020002222221002101000
42303030133231132103230
53103223442013030243
642105022240120300
72410446302413563
oct263143755362354
947536088832330
1012314203251948
113a18473783554
12146a6a9906090
136b42bbc82890
143080211c4bda
151654c24b05d3
hexb331fb5e4ec

12314203251948 has 96 divisors (see below), whose sum is σ = 34394332683200. Its totient is φ = 3787575386112.

The previous prime is 12314203251943. The next prime is 12314203251967. The reversal of 12314203251948 is 84915230241321.

12314203251948 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 420 + 32 + 5 + 194 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (12314203251943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2144490 + ... + 5406222.

Almost surely, 212314203251948 is an apocalyptic number.

12314203251948 is a gapful number since it is divisible by the number (18) 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 12314203251948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17197166341600).

12314203251948 is an abundant number, since it is smaller than the sum of its proper divisors (22080129431252).

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

12314203251948 is a wasteful number, since it uses less digits than its factorization.

12314203251948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264448 (or 3264440 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 12314203251948 in words is "twelve trillion, three hundred fourteen billion, two hundred three million, two hundred fifty-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 2689 5378 8067 10756 16134 24201 32268 34957 48402 69914 72603 96804 104871 139828 145206 209742 290412 314613 419484 629226 943839 1258452 1887678 3261733 3775356 6523466 9785199 13046932 19570398 29355597 39140796 42402529 58711194 84805058 88066791 117422388 127207587 169610116 176133582 254415174 352267164 381622761 508830348 763245522 1144868283 1526491044 2289736566 4579473132 8770800037 17541600074 26312400111 35083200148 52624800222 78937200333 105249600444 114020400481 157874400666 228040800962 236811600999 315748801332 342061201443 456081601924 473623201998 684122402886 947246403996 1026183604329 1368244805772 2052367208658 3078550812987 4104734417316 6157101625974 12314203251948