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4115423068380 = 22325136472718281
BaseRepresentation
bin111011111000110010010…
…101001000000011011100
3112120102121220120002120200
4323320302111020003130
51014411341301142010
612430333234543500
7603221006621421
oct73706225100334
915512556502520
104115423068380
111347383040278
1256571aa37b90
1323b10c9b1730
1410328a871d48
15720b9227cc0
hex3be325480dc

4115423068380 has 144 divisors (see below), whose sum is σ = 13464498849984. Its totient is φ = 1011461114880.

The previous prime is 4115423068373. The next prime is 4115423068387. The reversal of 4115423068380 is 838603245114.

4115423068380 is a `hidden beast` number, since 4 + 11 + 542 + 3 + 0 + 68 + 38 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4115423068373) and next prime (4115423068387).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4115423068387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154840 + ... + 2873120.

It is an arithmetic number, because the mean of its divisors is an integer number (93503464236).

Almost surely, 24115423068380 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 4115423068380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732249424992).

4115423068380 is an abundant number, since it is smaller than the sum of its proper divisors (9349075781604).

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

4115423068380 is a wasteful number, since it uses less digits than its factorization.

4115423068380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718956 (or 2718951 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4115423068380 in words is "four trillion, one hundred fifteen billion, four hundred twenty-three million, sixty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 647 780 1170 1294 1941 2340 2588 3235 3882 5823 6470 7764 8411 9705 11646 12940 16822 19410 23292 25233 29115 33644 38820 42055 50466 58230 75699 84110 100932 116460 126165 151398 168220 252330 302796 378495 504660 756990 1513980 2718281 5436562 8154843 10873124 13591405 16309686 24464529 27182810 32619372 35337653 40774215 48929058 54365620 70675306 81548430 97858116 106012959 122322645 141350612 163096860 176688265 212025918 244645290 318038877 353376530 424051836 489290580 530064795 636077754 706753060 1060129590 1272155508 1590194385 1758727807 2120259180 3180388770 3517455614 5276183421 6360777540 7034911228 8793639035 10552366842 15828550263 17587278070 21104733684 22863461491 26380917105 31657100526 35174556140 45726922982 52761834210 63314201052 68590384473 79142751315 91453845964 105523668420 114317307455 137180768946 158285502630 205771153419 228634614910 274361537892 316571005260 342951922365 411542306838 457269229820 685903844730 823084613676 1028855767095 1371807689460 2057711534190 4115423068380