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4331214141040 = 245296772757611
BaseRepresentation
bin111111000001110000011…
…110101111011001110000
3120100001121202112101110001
4333001300132233121300
51031430311310003130
613113422102315344
7624630344520223
oct77016036573160
916301552471401
104331214141040
11141a948517046
1259b502a28b54
1325557c6c5287
1410d8bbc5b5ba
15779e8b736ca
hex3f0707af670

4331214141040 has 80 divisors (see below), whose sum is σ = 10432708022880. Its totient is φ = 1670273346560.

The previous prime is 4331214141031. The next prime is 4331214141073. The reversal of 4331214141040 is 401414121334.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 191835 + ... + 2949445.

It is an arithmetic number, because the mean of its divisors is an integer number (130408850286).

Almost surely, 24331214141040 is an apocalyptic number.

4331214141040 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 4331214141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5216354011440).

4331214141040 is an abundant number, since it is smaller than the sum of its proper divisors (6101493881840).

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

4331214141040 is a wasteful number, since it uses less digits than its factorization.

4331214141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758330 (or 2758324 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 4331214141040 its reverse (401414121334), we get a palindrome (4732628262374).

The spelling of 4331214141040 in words is "four trillion, three hundred thirty-one billion, two hundred fourteen million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 677 1160 1354 2320 2708 3385 5416 6770 10832 13540 19633 27080 39266 54160 78532 98165 157064 196330 314128 392660 785320 1570640 2757611 5515222 11030444 13788055 22060888 27576110 44121776 55152220 79970719 110304440 159941438 220608880 319882876 399853595 639765752 799707190 1279531504 1599414380 1866902647 3198828760 3733805294 6397657520 7467610588 9334513235 14935221176 18669026470 29870442352 37338052940 54140176763 74676105880 108280353526 149352211760 216560707052 270700883815 433121414104 541401767630 866242828208 1082803535260 2165607070520 4331214141040