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4320434413000 = 235329563264619
BaseRepresentation
bin111110110111101101111…
…101010101110111001000
3120022000210111120110112101
4332313231331111313020
51031241222202204000
613104440303323144
7624066251402536
oct76675575256710
916260714513471
104320434413000
1114163166578a2
125993b48b04b4
13254552302084
1410d178329156
15775b75e4e6a
hex3ededf55dc8

4320434413000 has 128 divisors (see below), whose sum is σ = 10477046736000. Its totient is φ = 1665611539200.

The previous prime is 4320434412941. The next prime is 4320434413021. The reversal of 4320434413000 is 3144340234.

It is a self number, because there is not a number n which added to its sum of digits gives 4320434413000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16194691 + ... + 16459309.

It is an arithmetic number, because the mean of its divisors is an integer number (81851927625).

Almost surely, 24320434413000 is an apocalyptic number.

4320434413000 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 4320434413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238523368000).

4320434413000 is an abundant number, since it is smaller than the sum of its proper divisors (6156612323000).

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

4320434413000 is a wasteful number, since it uses less digits than its factorization.

4320434413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265232 (or 265218 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4320434413000 its reverse (3144340234), we get a palindrome (4323578753234).

The spelling of 4320434413000 in words is "four trillion, three hundred twenty billion, four hundred thirty-four million, four hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 563 580 725 1000 1126 1160 1450 2252 2815 2900 3625 4504 5630 5800 7250 11260 14075 14500 16327 22520 28150 29000 32654 56300 65308 70375 81635 112600 130616 140750 163270 264619 281500 326540 408175 529238 563000 653080 816350 1058476 1323095 1632700 2040875 2116952 2646190 3265400 4081750 5292380 6615475 7673951 8163500 10584760 13230950 15347902 16327000 26461900 30695804 33077375 38369755 52923800 61391608 66154750 76739510 132309500 148980497 153479020 191848775 264619000 297960994 306958040 383697550 595921988 744902485 767395100 959243875 1191843976 1489804970 1534790200 1918487750 2979609940 3724512425 3836975500 4320434413 5959219880 7449024850 7673951000 8640868826 14898049700 17281737652 18622562125 21602172065 29796099400 34563475304 37245124250 43204344130 74490248500 86408688260 108010860325 148980497000 172817376520 216021720650 432043441300 540054301625 864086882600 1080108603250 2160217206500 4320434413000