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201314491407 = 32731069128661
BaseRepresentation
bin1011101101111101000…
…1110101110000001111
3201020121221201202201100
42323133101311300033
511244243002211112
6232252124114143
720354521641321
oct2733721656017
9636557652640
10201314491407
1178416867037
1233023995953
1315ca375c143
149a5a8d5611
155383a782dc
hex2edf475c0f

201314491407 has 24 divisors (see below), whose sum is σ = 294808848048. Its totient is φ = 132354172800.

The previous prime is 201314491369. The next prime is 201314491423. The reversal of 201314491407 is 704194413102.

201314491407 is a `hidden beast` number, since 20 + 1 + 3 + 144 + 91 + 407 = 666.

It is not a de Polignac number, because 201314491407 - 222 = 201310297103 is a prime.

It is a super-3 number, since 3×2013144914073 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201314491447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7009657 + ... + 7038317.

It is an arithmetic number, because the mean of its divisors is an integer number (12283702002).

Almost surely, 2201314491407 is an apocalyptic number.

201314491407 is a deficient number, since it is larger than the sum of its proper divisors (93494356641).

201314491407 is a wasteful number, since it uses less digits than its factorization.

201314491407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39431 (or 39428 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 201314491407 in words is "two hundred one billion, three hundred fourteen million, four hundred ninety-one thousand, four hundred seven".

Divisors: 1 3 9 73 219 657 10691 28661 32073 85983 96219 257949 780443 2092253 2341329 6276759 7023987 18830277 306414751 919244253 2757732759 22368276823 67104830469 201314491407