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4340023054000 = 245319167683899
BaseRepresentation
bin111111001001111101100…
…010000100111010110000
3120100220100200001112022121
4333021331202010322300
51032101331400212000
613121440140044024
7625361550165214
oct77117542047260
916326320045277
104340023054000
1114236589627a7
125a1160b33614
132563546bc0ca
141100b5b30944
1577d621a6b1a
hex3f27d884eb0

4340023054000 has 160 divisors (see below), whose sum is σ = 11112663744000. Its totient is φ = 1634789779200.

The previous prime is 4340023053973. The next prime is 4340023054007. The reversal of 4340023054000 is 4503200434.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4340023054007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6004051 + ... + 6687949.

It is an arithmetic number, because the mean of its divisors is an integer number (69454148400).

Almost surely, 24340023054000 is an apocalyptic number.

4340023054000 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 4340023054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5556331872000).

4340023054000 is an abundant number, since it is smaller than the sum of its proper divisors (6772640690000).

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

4340023054000 is a wasteful number, since it uses less digits than its factorization.

4340023054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684108 (or 684092 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 4340023054000 its reverse (4503200434), we get a palindrome (4344526254434).

The spelling of 4340023054000 in words is "four trillion, three hundred forty billion, twenty-three million, fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 167 190 200 250 304 334 380 400 475 500 668 760 835 950 1000 1336 1520 1670 1900 2000 2375 2672 3173 3340 3800 4175 4750 6346 6680 7600 8350 9500 12692 13360 15865 16700 19000 20875 25384 31730 33400 38000 41750 50768 63460 66800 79325 83500 126920 158650 167000 253840 317300 334000 396625 634600 683899 793250 1269200 1367798 1586500 2735596 3173000 3419495 5471192 6346000 6838990 10942384 12994081 13677980 17097475 25988162 27355960 34194950 51976324 54711920 64970405 68389900 85487375 103952648 114211133 129940810 136779800 170974750 207905296 228422266 259881620 273559600 324852025 341949500 456844532 519763240 571055665 649704050 683899000 913689064 1039526480 1142111330 1299408100 1367798000 1624260125 1827378128 2170011527 2284222660 2598816200 2855278325 3248520250 4340023054 4568445320 5197632400 5710556650 6497040500 8680046108 9136890640 10850057635 11421113300 12994081000 14276391625 17360092216 21700115270 22842226600 25988162000 28552783250 34720184432 43400230540 45684453200 54250288175 57105566500 86800461080 108500576350 114211133000 173600922160 217001152700 228422266000 271251440875 434002305400 542502881750 868004610800 1085005763500 2170011527000 4340023054000