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301234114000 = 2453712121367
BaseRepresentation
bin1000110001000101111…
…00111100110111010000
31001210112112010111220001
410120202330330313100
514413411413122000
6350215100255344
730522601502341
oct4304274746720
91053475114801
10301234114000
11106830893426
124a46a841554
1322538708791
1410818dd20c8
157c80bd746a
hex4622f3cdd0

301234114000 has 80 divisors (see below), whose sum is σ = 738643366656. Its totient is φ = 118796496000.

The previous prime is 301234113941. The next prime is 301234114099. The reversal of 301234114000 is 411432103.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 918684 + ... + 1202683.

Almost surely, 2301234114000 is an apocalyptic number.

It is an amenable number.

301234114000 is an abundant number, since it is smaller than the sum of its proper divisors (437409252656).

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

301234114000 is a wasteful number, since it uses less digits than its factorization.

301234114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121461 (or 2121445 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 301234114000 its reverse (411432103), we get a palindrome (301645546103).

The spelling of 301234114000 in words is "three hundred one billion, two hundred thirty-four million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 200 250 284 355 400 500 568 710 1000 1136 1420 1775 2000 2840 3550 5680 7100 8875 14200 17750 28400 35500 71000 142000 2121367 4242734 8485468 10606835 16970936 21213670 33941872 42427340 53034175 84854680 106068350 150617057 169709360 212136700 265170875 301234114 424273400 530341750 602468228 753085285 848546800 1060683500 1204936456 1506170570 2121367000 2409872912 3012341140 3765426425 4242734000 6024682280 7530852850 12049364560 15061705700 18827132125 30123411400 37654264250 60246822800 75308528500 150617057000 301234114000