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3412210442320 = 245199712311921
BaseRepresentation
bin110001101001110111100…
…101110110000001010000
3110002012111210221101101101
4301221313211312001100
5421401201333123240
611131314155514144
7501344520130231
oct61516745660120
913065453841341
103412210442320
1110a6123925119
12471386458954
131b9a01aa5034
14bb21aa17088
155db5d0cb39a
hex31a77976050

3412210442320 has 80 divisors (see below), whose sum is σ = 8359540044480. Its totient is φ = 1291715942400.

The previous prime is 3412210442309. The next prime is 3412210442323. The reversal of 3412210442320 is 232440122143.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412210442323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319960 + ... + 2631880.

It is an arithmetic number, because the mean of its divisors is an integer number (104494250556).

Almost surely, 23412210442320 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 3412210442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179770022240).

3412210442320 is an abundant number, since it is smaller than the sum of its proper divisors (4947329602160).

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

3412210442320 is a wasteful number, since it uses less digits than its factorization.

3412210442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312924 (or 2312918 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 3412210442320 its reverse (232440122143), we get a palindrome (3644650564463).

The spelling of 3412210442320 in words is "three trillion, four hundred twelve billion, two hundred ten million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 971 1520 1942 3884 4855 7768 9710 15536 18449 19420 36898 38840 73796 77680 92245 147592 184490 295184 368980 737960 1475920 2311921 4623842 9247684 11559605 18495368 23119210 36990736 43926499 46238420 87852998 92476840 175705996 184953680 219632495 351411992 439264990 702823984 878529980 1757059960 2244875291 3514119920 4489750582 8979501164 11224376455 17959002328 22448752910 35918004656 42652630529 44897505820 85305261058 89795011640 170610522116 179590023280 213263152645 341221044232 426526305290 682442088464 853052610580 1706105221160 3412210442320