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430140220000 = 2554136715733
BaseRepresentation
bin1100100001001100101…
…10101110001001100000
31112010021012201012001021
412100212112232021200
524021411344020000
6525334221415224
743035163354351
oct6204626561140
91463235635037
10430140220000
1115646aa38827
126b44510a514
133173ca8994a
1416b670abd28
15b2c79be11a
hex64265ae260

430140220000 has 120 divisors (see below), whose sum is σ = 1059050882736. Its totient is φ = 171919296000.

The previous prime is 430140219997. The next prime is 430140220009. The reversal of 430140220000 is 22041034.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430140220009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27332134 + ... + 27347866.

Almost surely, 2430140220000 is an apocalyptic number.

430140220000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430140220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529525441368).

430140220000 is an abundant number, since it is smaller than the sum of its proper divisors (628910662736).

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

430140220000 is a wasteful number, since it uses less digits than its factorization.

430140220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17130 (or 17107 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 430140220000 its reverse (22041034), we get a palindrome (430162261034).

The spelling of 430140220000 in words is "four hundred thirty billion, one hundred forty million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1367 2000 2500 2734 4000 5000 5468 6835 10000 10936 13670 15733 20000 21872 27340 31466 34175 43744 54680 62932 68350 78665 109360 125864 136700 157330 170875 218720 251728 273400 314660 341750 393325 503456 546800 629320 683500 786650 854375 1093600 1258640 1367000 1573300 1708750 1966625 2517280 2734000 3146600 3417500 3933250 5468000 6293200 6835000 7866500 9833125 12586400 13670000 15733000 19666250 21507011 27340000 31466000 39332500 43014022 62932000 78665000 86028044 107535055 157330000 172056088 215070110 314660000 344112176 430140220 537675275 688224352 860280440 1075350550 1720560880 2150701100 2688376375 3441121760 4301402200 5376752750 8602804400 10753505500 13441881875 17205608800 21507011000 26883763750 43014022000 53767527500 86028044000 107535055000 215070110000 430140220000