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3193441389984 = 2531012391378061
BaseRepresentation
bin101110011110000111111…
…100001000110110100000
3102022021211102101001101110
4232132013330020312200
5404310131443434414
610443014031503320
7446501311641066
oct56360774106640
912267742331343
103193441389984
11102137045911a
12436ab1087b40
131a21a9119b41
14b07c5d18036
1558106edb459
hex2e787f08da0

3193441389984 has 96 divisors (see below), whose sum is σ = 8501209355520. Its totient is φ = 1049530496000.

The previous prime is 3193441389967. The next prime is 3193441390019. The reversal of 3193441389984 is 4899831443913.

3193441389984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×31934413899842 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1628314 + ... + 3006374.

It is an arithmetic number, because the mean of its divisors is an integer number (88554264120).

Almost surely, 23193441389984 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 3193441389984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250604677760).

3193441389984 is an abundant number, since it is smaller than the sum of its proper divisors (5307767965536).

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

3193441389984 is a wasteful number, since it uses less digits than its factorization.

3193441389984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378414 (or 1378406 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 66.

The spelling of 3193441389984 in words is "three trillion, one hundred ninety-three billion, four hundred forty-one million, three hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 239 303 404 478 606 717 808 956 1212 1434 1616 1912 2424 2868 3232 3824 4848 5736 7648 9696 11472 22944 24139 48278 72417 96556 144834 193112 289668 386224 579336 772448 1158672 1378061 2317344 2756122 4134183 5512244 8268366 11024488 16536732 22048976 33073464 44097952 66146928 132293856 139184161 278368322 329356579 417552483 556736644 658713158 835104966 988069737 1113473288 1317426316 1670209932 1976139474 2226946576 2634852632 3340419864 3952278948 4453893152 5269705264 6680839728 7904557896 10539410528 13361679456 15809115792 31618231584 33265014479 66530028958 99795043437 133060057916 199590086874 266120115832 399180173748 532240231664 798360347496 1064480463328 1596720694992 3193441389984