Search a number
-
+
128441612520 = 23345133049421
BaseRepresentation
bin111011110011110110…
…1110111100011101000
3110021112022112221220000
41313213231313203220
54101022023100040
6135001045303000
712164621456424
oct1674755674350
9407468487800
10128441612520
114a520a3a5a1
1220a86a04a60
13c15c07b570
146306527b84
15351b134130
hex1de7b778e8

128441612520 has 160 divisors (see below), whose sum is σ = 464914878120. Its totient is φ = 31616386560.

The previous prime is 128441612501. The next prime is 128441612581. The reversal of 128441612520 is 25216144821.

128441612520 is a `hidden beast` number, since 1 + 2 + 84 + 41 + 6 + 12 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86474812356 + 41966800164 = 294066^2 + 204858^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1482591 + ... + 1566830.

Almost surely, 2128441612520 is an apocalyptic number.

128441612520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128441612520 is an abundant number, since it is smaller than the sum of its proper divisors (336473265600).

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

128441612520 is a wasteful number, since it uses less digits than its factorization.

128441612520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049457 (or 3049444 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 128441612520 in words is "one hundred twenty-eight billion, four hundred forty-one million, six hundred twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2808 3240 3510 4212 4680 5265 7020 8424 10530 14040 21060 42120 3049421 6098842 9148263 12197684 15247105 18296526 24395368 27444789 30494210 36593052 39642473 45741315 54889578 60988420 73186104 79284946 82334367 91482630 109779156 118927419 121976840 137223945 158569892 164668734 182965260 198212365 219558312 237854838 247003101 274447890 317139784 329337468 356782257 365930520 396424730 411671835 475709676 494006202 548895780 594637095 658674936 713564514 792849460 823343670 951419352 988012404 1070346771 1097791560 1189274190 1235015505 1427129028 1585698920 1646687340 1783911285 1976024808 2140693542 2378548380 2470031010 2854258056 3211040313 3293374680 3567822570 4281387084 4757096760 4940062020 5351733855 6422080626 7135645140 8562774168 9880124040 10703467710 12844161252 14271290280 16055201565 21406935420 25688322504 32110403130 42813870840 64220806260 128441612520