Search a number
-
+
150601243612320 = 25325887411178533
BaseRepresentation
bin100010001111100010010101…
…101000001101010010100000
3201202020100010121101220022100
4202033202111220031102200
5124214422321331043240
61252145131201210400
743502403132141324
oct4217422550152240
9652210117356270
10150601243612320
1143a936a0942136
1214a83643930a00
13660583704a6a7
1429291d3903984
15126273d54ee30
hex88f895a0d4a0

150601243612320 has 144 divisors (see below), whose sum is σ = 513932971216392. Its totient is φ = 40159844997120.

The previous prime is 150601243612199. The next prime is 150601243612321. The reversal of 150601243612320 is 23216342106051.

150601243612320 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 0 + 1 + 2 + 4 + 3 + 612 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45609005861136 + 104992237751184 = 6753444^2 + 10246572^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (150601243612321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127197774 + ... + 128376306.

Almost surely, 2150601243612320 is an apocalyptic number.

150601243612320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150601243612320 is an abundant number, since it is smaller than the sum of its proper divisors (363331727604072).

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

150601243612320 is a wasteful number, since it uses less digits than its factorization.

150601243612320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267295 (or 1267284 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 150601243612320 its reverse (23216342106051), we get a palindrome (173817585718371).

The spelling of 150601243612320 in words is "one hundred fifty trillion, six hundred one billion, two hundred forty-three million, six hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 88741 177482 266223 354964 443705 532446 709928 798669 887410 1064892 1178533 1331115 1419856 1597338 1774820 2129784 2357066 2662230 2839712 3194676 3535599 3549640 3993345 4259568 4714132 5324460 5892665 6389352 7071198 7099280 7986690 8519136 9428264 10606797 10648920 11785330 12778704 14142396 14198560 15973380 17677995 18856528 21213594 21297840 23570660 25557408 28284792 31946760 35355990 37713056 42427188 42595680 47141320 53033985 56569584 63893520 70711980 84854376 94282640 106067970 113139168 127787040 141423960 169708752 188565280 212135940 282847920 339417504 424271880 565695840 848543760 1697087520 104584196953 209168393906 313752590859 418336787812 522920984765 627505181718 836673575624 941257772577 1045841969530 1255010363436 1568762954295 1673347151248 1882515545154 2091683939060 2510020726872 3137525908590 3346694302496 3765031090308 4183367878120 4706288862885 5020041453744 6275051817180 7530062180616 8366735756240 9412577725770 10040082907488 12550103634360 15060124361232 16733471512480 18825155451540 25100207268720 30120248722464 37650310903080 50200414537440 75300621806160 150601243612320