Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
128023702416 = 243633132
BaseRepresentation
bin111011100111011001…
…1101010101110010000
3110020110012011221000000
41313032303222232100
54044143031434131
6134451400130000
712151355341551
oct1671663525620
9406405157000
10128023702416
114a327051545
122098aa66900
13c0c3608b8c
1462a6c20328
1534e45d3ce6
hex1dceceab90

128023702416 has 105 divisors (see below), whose sum is σ = 372011045889. Its totient is φ = 42661686528.

The previous prime is 128023702409. The next prime is 128023702421. The reversal of 128023702416 is 614207320821.

It is a happy number.

The square root of 128023702416 is 357804.

It is a perfect power (a square), and thus also a powerful number.

128023702416 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 237 + 0 + 2 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118322240400 + 9701462016 = 343980^2 + 98496^2 .

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 20 ways as a sum of consecutive naturals, for example, 38641176 + ... + 38644488.

Almost surely, 2128023702416 is an apocalyptic number.

128023702416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

128023702416 is the 357804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128023702416

128023702416 is an abundant number, since it is smaller than the sum of its proper divisors (243987343473).

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

128023702416 is an frugal number, since it uses more digits than its factorization.

128023702416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6652 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 128023702416 by its sum of digits (36), we get a square (4608853286976 = 21468242).

128023702416 divided by its sum of digits (36) gives a square (3556213956 = 596342).

The spelling of 128023702416 in words is "one hundred twenty-eight billion, twenty-three million, seven hundred two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3313 3888 5832 6626 9939 11664 13252 19878 26504 29817 39756 53008 59634 79512 89451 119268 159024 178902 238536 268353 357804 477072 536706 715608 805059 1073412 1431216 1610118 2146824 2415177 3220236 4293648 4830354 6440472 9660708 10975969 12880944 19321416 21951938 32927907 38642832 43903876 65855814 87807752 98783721 131711628 175615504 197567442 263423256 296351163 395134884 526846512 592702326 790269768 889053489 1185404652 1580539536 1778106978 2370809304 2667160467 3556213956 4741618608 5334320934 7112427912 8001481401 10668641868 14224855824 16002962802 21337283736 32005925604 42674567472 64011851208 128023702416