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4230211413320 = 2352910160160077
BaseRepresentation
bin111101100011101100001…
…111111010010101001000
3112222101220201002012100122
4331203230033322111020
51023301433110211240
612555155435322412
7614423403510254
oct75435417722510
915871821065318
104230211413320
111391028074852
12583a152b0408
13248ba4231c29
14108a5997d264
15750868b94b5
hex3d8ec3fa548

4230211413320 has 128 divisors (see below), whose sum is σ = 9960379682400. Its totient is φ = 1614842880000.

The previous prime is 4230211413319. The next prime is 4230211413343. The reversal of 4230211413320 is 233141120324.

It can be written as a sum of positive squares in 16 ways, for example, as 2006659232356 + 2223552180964 = 1416566^2 + 1491158^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4230211413320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70383122 + ... + 70443198.

Almost surely, 24230211413320 is an apocalyptic number.

4230211413320 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 4230211413320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4980189841200).

4230211413320 is an abundant number, since it is smaller than the sum of its proper divisors (5730168269080).

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

4230211413320 is a wasteful number, since it uses less digits than its factorization.

4230211413320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60819 (or 60815 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 4230211413320 its reverse (233141120324), we get a palindrome (4463352533644).

The spelling of 4230211413320 in words is "four trillion, two hundred thirty billion, two hundred eleven million, four hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 101 116 145 202 232 290 404 505 580 601 808 1010 1160 1202 2020 2404 2929 3005 4040 4808 5858 6010 11716 12020 14645 17429 23432 24040 29290 34858 58580 60077 60701 69716 87145 117160 120154 121402 139432 174290 240308 242804 300385 303505 348580 480616 485608 600770 607010 697160 1201540 1214020 1742233 1760329 2403080 2428040 3484466 3520658 6067777 6968932 7041316 8711165 8801645 12135554 13937864 14082632 17422330 17603290 24271108 30338885 34844660 35206580 36106277 48542216 60677770 69689320 70413160 72212554 121355540 144425108 175965533 180531385 242711080 288850216 351931066 361062770 703862132 722125540 879827665 1047082033 1407724264 1444251080 1759655330 2094164066 3519310660 3646733977 4188328132 5235410165 7038621320 7293467954 8376656264 10470820330 14586935908 18233669885 20941640660 29173871816 36467339770 41883281320 72934679540 105755285333 145869359080 211510570666 423021141332 528776426665 846042282664 1057552853330 2115105706660 4230211413320