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332130312300440 = 23561795233294503
BaseRepresentation
bin100101110000100100001110…
…1010010001010011110011000
31121112222100101112001221121002
41023201020131102022132120
5322013110334422103230
63134214320433204132
7126646423521021533
oct11341103522123630
91545870345057532
10332130312300440
1196910746746425
12313010b5700648
13113429a58966c4
145c0329b3d3a1a
15285e711ab7545
hex12e121d48a798

332130312300440 has 128 divisors (see below), whose sum is σ = 770629290854400. Its totient is φ = 128773385694720.

The previous prime is 332130312300427. The next prime is 332130312300463. The reversal of 332130312300440 is 44003213031233.

It is a super-2 number, since 2×3321303123004402 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99166229 + ... + 102460731.

It is an arithmetic number, because the mean of its divisors is an integer number (6020541334800).

Almost surely, 2332130312300440 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 332130312300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385314645427200).

332130312300440 is an abundant number, since it is smaller than the sum of its proper divisors (438498978553960).

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

332130312300440 is a wasteful number, since it uses less digits than its factorization.

332130312300440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295177 (or 3295173 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 332130312300440 its reverse (44003213031233), we get a palindrome (376133525331673).

The spelling of 332130312300440 in words is "three hundred thirty-two trillion, one hundred thirty billion, three hundred twelve million, three hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 79 122 158 244 305 316 395 488 523 610 632 790 1046 1220 1580 2092 2440 2615 3160 4184 4819 5230 9638 10460 19276 20920 24095 31903 38552 41317 48190 63806 82634 96380 127612 159515 165268 192760 206585 255224 319030 330536 413170 638060 826340 1276120 1652680 2520337 3294503 5040674 6589006 10081348 12601685 13178012 16472515 20162696 25203370 26356024 32945030 50406740 65890060 100813480 131780120 200964683 260265737 401929366 520531474 803858732 1004823415 1041062948 1301328685 1607717464 1723025069 2009646830 2082125896 2602657370 3446050138 4019293660 5205314740 6892100276 8038587320 8615125345 10410629480 13784200552 15876209957 17230250690 31752419914 34460501380 63504839828 68921002760 79381049785 105104529209 127009679656 136118980451 158762099570 210209058418 272237960902 317524199140 420418116836 525522646045 544475921804 635048398280 680594902255 840836233672 1051045292090 1088951843608 1361189804510 2102090584180 2722379609020 4204181168360 5444759218040 8303257807511 16606515615022 33213031230044 41516289037555 66426062460088 83032578075110 166065156150220 332130312300440