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30314042452300 = 22522959223794491
BaseRepresentation
bin1101110010010000010011…
…01110110110100101001100
310222022222211201222021102011
412321020021232312211030
512433131124331433200
6144250025010511004
76246055142240665
oct671101156664514
9128288751867364
1030314042452300
119728127751632
123497093595464
1313bb7a95c1819
1476b2c949636c
153788101a45ba
hex1b9209bb694c

30314042452300 has 144 divisors (see below), whose sum is σ = 69513600844800. Its totient is φ = 11457435628800.

The previous prime is 30314042452259. The next prime is 30314042452373. The reversal of 30314042452300 is 325424041303.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37758055 + ... + 38552545.

It is an arithmetic number, because the mean of its divisors is an integer number (482733339200).

Almost surely, 230314042452300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30314042452300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34756800422400).

30314042452300 is an abundant number, since it is smaller than the sum of its proper divisors (39199558392500).

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

30314042452300 is a wasteful number, since it uses less digits than its factorization.

30314042452300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794816 (or 794809 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 30314042452300 its reverse (325424041303), we get a palindrome (30639466493603).

The spelling of 30314042452300 in words is "thirty trillion, three hundred fourteen billion, forty-two million, four hundred fifty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 59 100 116 118 145 223 236 290 295 446 580 590 725 892 1115 1180 1450 1475 1711 2230 2900 2950 3422 4460 5575 5900 6467 6844 8555 11150 12934 13157 17110 22300 25868 26314 32335 34220 42775 52628 64670 65785 85550 129340 131570 161675 171100 263140 323350 328925 381553 646700 657850 763106 794491 1315700 1526212 1588982 1907765 3177964 3815530 3972455 7631060 7944910 9538825 15889820 19077650 19862275 23040239 38155300 39724550 46080478 46874969 79449100 92160956 93749938 115201195 177171493 187499876 230402390 234374845 354342986 460804780 468749690 576005975 708685972 885857465 937499380 1152011950 1171874225 1359374101 1771714930 2304023900 2343748450 2718748202 3543429860 4429287325 4687496900 5137973297 5437496404 6796870505 8858574650 10275946594 10453118087 13593741010 17717149300 20551893188 20906236174 25689866485 27187482020 33984352525 41812472348 51379732970 52265590435 67968705050 102759465940 104531180870 128449332425 135937410100 209062361740 256898664850 261327952175 303140424523 513797329700 522655904350 606280849046 1045311808700 1212561698092 1515702122615 3031404245230 6062808490460 7578510613075 15157021226150 30314042452300