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314390269000 = 2353314390269
BaseRepresentation
bin1001001001100110001…
…11101100110001001000
31010001111101202102202001
410210303013230301020
520122332402102000
6400232350320344
731466612123353
oct4446307546110
91101441672661
10314390269000
111113721243a5
1250b207b90b4
1323854252a92
14113063a929a
1582a0bd246a
hex49331ecc48

314390269000 has 32 divisors (see below), whose sum is σ = 735673231800. Its totient is φ = 125756107200.

The previous prime is 314390268971. The next prime is 314390269001. The reversal of 314390269000 is 962093413.

It can be written as a sum of positive squares in 4 ways, for example, as 99708166756 + 214682102244 = 315766^2 + 463338^2 .

It is a super-2 number, since 2×3143902690002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314390269001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157194135 + ... + 157196134.

Almost surely, 2314390269000 is an apocalyptic number.

It is an amenable number.

314390269000 is an abundant number, since it is smaller than the sum of its proper divisors (421282962800).

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

314390269000 is a wasteful number, since it uses less digits than its factorization.

314390269000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314390290 (or 314390276 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The spelling of 314390269000 in words is "three hundred fourteen billion, three hundred ninety million, two hundred sixty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 314390269 628780538 1257561076 1571951345 2515122152 3143902690 6287805380 7859756725 12575610760 15719513450 31439026900 39298783625 62878053800 78597567250 157195134500 314390269000