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4430201342300 = 22521919329341233
BaseRepresentation
bin100000001110111110010…
…0100111100100101011100
3120200112010100102020000022
41000131330210330211130
51040041023020423200
613231112325451312
7635033343040556
oct100357444744534
916615110366008
104430201342300
111458924187498
125b6729570b38
132619c6436106
141145cc59c4d6
157a38deee885
hex4077c93c95c

4430201342300 has 144 divisors (see below), whose sum is σ = 10206909320160. Its totient is φ = 1664374210560.

The previous prime is 4430201342291. The next prime is 4430201342309. The reversal of 4430201342300 is 32431020344.

It is an interprime number because it is at equal distance from previous prime (4430201342291) and next prime (4430201342309).

It is a self number, because there is not a number n which added to its sum of digits gives 4430201342300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4430201342309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107422484 + ... + 107463716.

Almost surely, 24430201342300 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 4430201342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5103454660080).

4430201342300 is an abundant number, since it is smaller than the sum of its proper divisors (5776707977860).

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

4430201342300 is a wasteful number, since it uses less digits than its factorization.

4430201342300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41752 (or 41745 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 4430201342300 its reverse (32431020344), we get a palindrome (4462632362644).

The spelling of 4430201342300 in words is "four trillion, four hundred thirty billion, two hundred one million, three hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 193 293 380 386 475 586 772 950 965 1172 1465 1900 1930 2930 3667 3860 4825 5567 5860 7325 7334 9650 11134 14650 14668 18335 19300 22268 27835 29300 36670 41233 55670 56549 73340 82466 91675 111340 113098 139175 164932 183350 206165 226196 278350 282745 366700 412330 556700 565490 783427 824660 1030825 1074431 1130980 1413725 1566854 2061650 2148862 2827450 3133708 3917135 4123300 4297724 5372155 5654900 7834270 7957969 10744310 12081269 15668540 15915938 19585675 21488620 24162538 26860775 31831876 39171350 39789845 48325076 53721550 60406345 78342700 79579690 107443100 120812690 151201411 159159380 198949225 229544111 241625380 302031725 302402822 397898450 459088222 604063450 604805644 756007055 795796900 918176444 1147720555 1208126900 1512014110 2295441110 2331684917 3024028220 3780035275 4590882220 4663369834 5738602775 7560070550 9326739668 11477205550 11658424585 15120141100 22954411100 23316849170 44302013423 46633698340 58292122925 88604026846 116584245850 177208053692 221510067115 233168491700 443020134230 886040268460 1107550335575 2215100671150 4430201342300