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4331025111040 = 2115641659831
BaseRepresentation
bin111111000001100101001…
…101101001100000000000
3120100001010120211200000221
4333001211031221200000
51031424414412023130
613113351230552424
7624622561012315
oct77014515514000
916301116750027
104331025111040
11141a860847001
1259b46b668714
1325554c4ac1c4
1410d8a0ad2d0c
15779d728487a
hex3f065369800

4331025111040 has 96 divisors (see below), whose sum is σ = 10408150378080. Its totient is φ = 1729704755200.

The previous prime is 4331025111029. The next prime is 4331025111059. The reversal of 4331025111040 is 401115201334.

It is a junction number, because it is equal to n+sod(n) for n = 4331025110996 and 4331025111014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6233925 + ... + 6893755.

It is an arithmetic number, because the mean of its divisors is an integer number (108418233105).

Almost surely, 24331025111040 is an apocalyptic number.

4331025111040 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 4331025111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5204075189040).

4331025111040 is an abundant number, since it is smaller than the sum of its proper divisors (6077125267040).

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

4331025111040 is an equidigital number, since it uses as much as digits as its factorization.

4331025111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660499 (or 660479 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 4331025111040 in words is "four trillion, three hundred thirty-one billion, twenty-five million, one hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 641 1024 1280 1282 2048 2560 2564 3205 5120 5128 6410 10240 10256 12820 20512 25640 41024 51280 82048 102560 164096 205120 328192 410240 656384 659831 820480 1312768 1319662 1640960 2639324 3281920 3299155 5278648 6563840 6598310 10557296 13196620 21114592 26393240 42229184 52786480 84458368 105572960 168916736 211145920 337833472 422291840 422951671 675666944 844583680 845903342 1351333888 1689167360 1691806684 2114758355 3378334720 3383613368 4229516710 6756669440 6767226736 8459033420 13534453472 16918066840 27068906944 33836133680 54137813888 67672267360 108275627776 135344534720 216551255552 270689069440 433102511104 541378138880 866205022208 1082756277760 2165512555520 4331025111040