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314342031040 = 2654720900401
BaseRepresentation
bin1001001001100000011…
…11101011111011000000
31010001101000222200200221
410210300033223323000
520122233024443130
6400223504352424
731465455115042
oct4446017537300
91101330880627
10314342031040
11111347977514
1250b08615714
13238472636cb
14112ddc0da92
15829b85487a
hex49303ebec0

314342031040 has 56 divisors (see below), whose sum is σ = 764453103552. Its totient is φ = 123061555200.

The previous prime is 314342031011. The next prime is 314342031041. The reversal of 314342031040 is 40130243413.

It is a junction number, because it is equal to n+sod(n) for n = 314342030996 and 314342031014.

It is not an unprimeable number, because it can be changed into a prime (314342031041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10435161 + ... + 10465240.

Almost surely, 2314342031040 is an apocalyptic number.

It is an amenable number.

314342031040 is an abundant number, since it is smaller than the sum of its proper divisors (450111072512).

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

314342031040 is a wasteful number, since it uses less digits than its factorization.

314342031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20900465 (or 20900455 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 314342031040 its reverse (40130243413), we get a palindrome (354472274453).

The spelling of 314342031040 in words is "three hundred fourteen billion, three hundred forty-two million, thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 188 235 320 376 470 752 940 1504 1880 3008 3760 7520 15040 20900401 41800802 83601604 104502005 167203208 209004010 334406416 418008020 668812832 836016040 982318847 1337625664 1672032080 1964637694 3344064160 3929275388 4911594235 6688128320 7858550776 9823188470 15717101552 19646376940 31434203104 39292753880 62868406208 78585507760 157171015520 314342031040