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300114444300 = 2235211233954077
BaseRepresentation
bin1000101111000000011…
…01110000000000001100
31001200122111021101210220
410113200031300000030
514404113244204200
6345512022031340
730453054454236
oct4274015600014
91050574241726
10300114444300
11106306863a70
124a1b7878550
13223ba75bb28
1410750413256
157c177684a0
hex45e037000c

300114444300 has 144 divisors (see below), whose sum is σ = 988456234752. Its totient is φ = 69591737600.

The previous prime is 300114444257. The next prime is 300114444313. The reversal of 300114444300 is 3444411003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1901139 + ... + 2052938.

It is an arithmetic number, because the mean of its divisors is an integer number (6864279408).

Almost surely, 2300114444300 is an apocalyptic number.

300114444300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300114444300 is an abundant number, since it is smaller than the sum of its proper divisors (688341790452).

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

300114444300 is a wasteful number, since it uses less digits than its factorization.

300114444300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954128 (or 3954121 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 300114444300 its reverse (3444411003), we get a palindrome (303558855303).

The spelling of 300114444300 in words is "three hundred billion, one hundred fourteen million, four hundred forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 25 30 33 44 46 50 55 60 66 69 75 92 100 110 115 132 138 150 165 220 230 253 275 276 300 330 345 460 506 550 575 660 690 759 825 1012 1100 1150 1265 1380 1518 1650 1725 2300 2530 3036 3300 3450 3795 5060 6325 6900 7590 12650 15180 18975 25300 37950 75900 3954077 7908154 11862231 15816308 19770385 23724462 39540770 43494847 47448924 59311155 79081540 86989694 90943771 98851925 118622310 130484541 173979388 181887542 197703850 217474235 237244620 260969082 272831313 296555775 363775084 395407700 434948470 454718855 521938164 545662626 593111550 652422705 869896940 909437710 1000381481 1087371175 1091325252 1186223100 1304845410 1364156565 1818875420 2000762962 2174742350 2273594275 2609690820 2728313130 3001144443 3262113525 4001525924 4349484700 4547188550 5001907405 5456626260 6002288886 6524227050 6820782825 9094377100 10003814810 12004577772 13048454100 13641565650 15005722215 20007629620 25009537025 27283131300 30011444430 50019074050 60022888860 75028611075 100038148100 150057222150 300114444300