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3421102044400 = 245247241775289
BaseRepresentation
bin110001110010001001100…
…100100111010011110000
3110010001110111001120101221
4301302021210213103300
5422022404110410100
611135344345434424
7502111045401325
oct61621144472360
913101414046357
103421102044400
1110a9976a09397
1247304819ba14
131ba7bac61241
14bb821892b4c
155decd9e501a
hex31c899274f0

3421102044400 has 120 divisors (see below), whose sum is σ = 8397658676160. Its totient is φ = 1338753146880.

The previous prime is 3421102044383. The next prime is 3421102044407. The reversal of 3421102044400 is 44402011243.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421102044407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45401956 + ... + 45477244.

It is an arithmetic number, because the mean of its divisors is an integer number (69980488968).

Almost surely, 23421102044400 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 3421102044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198829338080).

3421102044400 is an abundant number, since it is smaller than the sum of its proper divisors (4976556631760).

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

3421102044400 is a wasteful number, since it uses less digits than its factorization.

3421102044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77771 (or 77760 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 3421102044400 its reverse (44402011243), we get a palindrome (3465504055643).

The spelling of 3421102044400 in words is "three trillion, four hundred twenty-one billion, one hundred two million, forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 188 200 235 376 400 470 752 940 1175 1880 2350 2417 3760 4700 4834 9400 9668 12085 18800 19336 24170 38672 48340 60425 75289 96680 113599 120850 150578 193360 227198 241700 301156 376445 454396 483400 567995 602312 752890 908792 966800 1135990 1204624 1505780 1817584 1882225 2271980 2839975 3011560 3538583 3764450 4543960 5679950 6023120 7077166 7528900 9087920 11359900 14154332 15057800 17692915 22719800 28308664 30115600 35385830 45439600 56617328 70771660 88464575 141543320 176929150 181973513 283086640 353858300 363947026 707716600 727894052 909867565 1415433200 1455788104 1819735130 2911576208 3639470260 4549337825 7278940520 8552755111 9098675650 14557881040 17105510222 18197351300 34211020444 36394702600 42763775555 68422040888 72789405200 85527551110 136844081776 171055102220 213818877775 342110204440 427637755550 684220408880 855275511100 1710551022200 3421102044400