Search a number
-
+
150203452541450 = 252711210135116007
BaseRepresentation
bin100010001001101111110111…
…011011101100101000001010
3201200211022100212022202102112
4202021233313123230220022
5124141413132322311300
61251242302530102322
743431561401626040
oct4211576733545012
9650738325282375
10150203452541450
114394aa21188a00
1214a1a52841a9a2
1365a7181249009
142913c58c64390
15125720aa38e35
hex889bf76eca0a

150203452541450 has 144 divisors (see below), whose sum is σ = 354429520808832. Its totient is φ = 46353127920000.

The previous prime is 150203452541447. The next prime is 150203452541473. The reversal of 150203452541450 is 54145254302051.

It is a happy number.

It is a super-2 number, since 2×1502034525414502 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 150203452541398 and 150203452541407.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13280654 + ... + 21835353.

It is an arithmetic number, because the mean of its divisors is an integer number (2461316116728).

Almost surely, 2150203452541450 is an apocalyptic number.

150203452541450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

150203452541450 is an abundant number, since it is smaller than the sum of its proper divisors (204226068267382).

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

150203452541450 is a wasteful number, since it uses less digits than its factorization.

150203452541450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35116149 (or 35116133 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 41.

The spelling of 150203452541450 in words is "one hundred fifty trillion, two hundred three billion, four hundred fifty-two million, five hundred forty-one thousand, four hundred fifty".

Divisors: 1 2 5 7 10 11 14 22 25 35 50 55 70 77 101 110 121 154 175 202 242 275 350 385 505 550 605 707 770 847 1010 1111 1210 1414 1694 1925 2222 2525 3025 3535 3850 4235 5050 5555 6050 7070 7777 8470 11110 12221 15554 17675 21175 24442 27775 35350 38885 42350 55550 61105 77770 85547 122210 171094 194425 305525 388850 427735 611050 855470 2138675 4277350 35116007 70232014 175580035 245812049 351160070 386276077 491624098 772552154 877900175 1229060245 1755800350 1931380385 2458120490 2703932539 3546716707 3862760770 4249036847 5407865078 6145301225 7093433414 8498073694 9656901925 12290602450 13519662695 17733583535 19313803850 21245184235 24827016949 27039325390 29743257929 35467167070 39013883777 42490368470 49654033898 59486515858 67598313475 78027767554 88667917675 106225921175 124135084745 135196626950 148716289645 177335835350 195069418885 212451842350 248270169490 273097186439 297432579290 390138837770 429152721547 546194372878 620675423725 743581448225 858305443094 975347094425 1241350847450 1365485932195 1487162896450 1950694188850 2145763607735 2730971864390 3004069050829 4291527215470 6008138101658 6827429660975 10728818038675 13654859321950 15020345254145 21457636077350 30040690508290 75101726270725 150203452541450