Search a number
-
+
150431431435000 = 235453901362983
BaseRepresentation
bin100010001101000100001100…
…000010001010001011111000
3201201122002211002211111110121
4202031010030002022023320
5124204132032421410000
61251535125013023024
743454212051352212
oct4215041402121370
9651562732744417
10150431431435000
1143a2868033aa21
1214a56752024a74
1365c2813ca5cb1
142920cc4b9d5b2
15125d100455b1a
hex88d10c08a2f8

150431431435000 has 160 divisors (see below), whose sum is σ = 359156594475360. Its totient is φ = 59029753536000.

The previous prime is 150431431434943. The next prime is 150431431435001. The reversal of 150431431435000 is 534134134051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150431431435001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2388413509 + ... + 2388476491.

It is an arithmetic number, because the mean of its divisors is an integer number (2244728715471).

Almost surely, 2150431431435000 is an apocalyptic number.

150431431435000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150431431435000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179578297237680).

150431431435000 is an abundant number, since it is smaller than the sum of its proper divisors (208725163040360).

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

150431431435000 is an equidigital number, since it uses as much as digits as its factorization.

150431431435000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72075 (or 72056 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 150431431435000 its reverse (534134134051), we get a palindrome (150965565569051).

The spelling of 150431431435000 in words is "one hundred fifty trillion, four hundred thirty-one billion, four hundred thirty-one million, four hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 625 1000 1060 1250 1325 2120 2500 2650 5000 5300 6625 9013 10600 13250 18026 26500 33125 36052 45065 53000 62983 66250 72104 90130 125966 132500 180260 225325 251932 265000 314915 360520 450650 477689 503864 629830 901300 955378 1126625 1259660 1574575 1802600 1910756 2253250 2388445 2519320 3149150 3338099 3821512 4506500 4776890 5633125 6298300 6676198 7872875 9013000 9553780 11266250 11942225 12596600 13352396 15745750 16690495 19107560 22532500 23884450 26704792 31491500 33380990 39364375 45065000 47768900 59711125 62983000 66761980 78728750 83452475 95537800 119422250 133523960 157457500 166904950 238844500 298555625 314915000 333809900 417262375 477689000 567665779 597111250 667619800 834524750 1135331558 1194222500 1669049500 2086311875 2270663116 2388445000 2838328895 3338099000 4172623750 4541326232 5676657790 8345247500 11353315580 14191644475 16690495000 22706631160 28383288950 30086286287 56766577900 60172572574 70958222375 113533155800 120345145148 141916444750 150431431435 240690290296 283832889500 300862862870 354791111875 567665779000 601725725740 709582223750 752157157175 1203451451480 1419164447500 1504314314350 2838328895000 3008628628700 3760785785875 6017257257400 7521571571750 15043143143500 18803928929375 30086286287000 37607857858750 75215715717500 150431431435000