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312149305450 = 252171496924533
BaseRepresentation
bin1001000101011011000…
…11000110100001101010
31002211201012222200200001
410202231203012201222
520103240210233300
6355222134533214
731360231214053
oct4425543064152
91084635880601
10312149305450
11110422166304
12505b620720a
1323587bab148
141117290772a
1581be0c316a
hex48ad8c686a

312149305450 has 48 divisors (see below), whose sum is σ = 614816642520. Its totient is φ = 117502392320.

The previous prime is 312149305427. The next prime is 312149305453. The reversal of 312149305450 is 54503941213.

It can be written as a sum of positive squares in 12 ways, for example, as 27572934601 + 284576370849 = 166051^2 + 533457^2 .

It is not an unprimeable number, because it can be changed into a prime (312149305453) 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 23 ways as a sum of consecutive naturals, for example, 12711384 + ... + 12735916.

Almost surely, 2312149305450 is an apocalyptic number.

312149305450 is a deficient number, since it is larger than the sum of its proper divisors (302667337070).

312149305450 is a wasteful number, since it uses less digits than its factorization.

312149305450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39531 (or 39526 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 312149305450 in words is "three hundred twelve billion, one hundred forty-nine million, three hundred five thousand, four hundred fifty".

Divisors: 1 2 5 10 17 25 34 50 85 170 425 850 14969 24533 29938 49066 74845 122665 149690 245330 254473 374225 417061 508946 613325 748450 834122 1226650 1272365 2085305 2544730 4170610 6361825 10426525 12723650 20853050 367234477 734468954 1836172385 3672344770 6242986109 9180861925 12485972218 18361723850 31214930545 62429861090 156074652725 312149305450