Search a number
-
+
150559010001024 = 2732359288932023
BaseRepresentation
bin100010001110111011000000…
…010011110001000010000000
3201202002022010021102011010120
4202032323000103301002000
5124213224323030013044
61252113504312300240
743466346423312252
oct4216730023610200
9652068107364116
10150559010001024
1143a77799097949
1214a774179a1680
1366018662c8b51
142927148829cd2
1512615ba90c519
hex88eec04f1080

150559010001024 has 128 divisors (see below), whose sum is σ = 424383356851200. Its totient is φ = 47190689289216.

The previous prime is 150559010000999. The next prime is 150559010001107. The reversal of 150559010001024 is 420100010955051.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 143944924 + ... + 144987099.

It is an arithmetic number, because the mean of its divisors is an integer number (3315494975400).

Almost surely, 2150559010001024 is an apocalyptic number.

It is an amenable number.

150559010001024 is an abundant number, since it is smaller than the sum of its proper divisors (273824346850176).

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

150559010001024 is a wasteful number, since it uses less digits than its factorization.

150559010001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288932122 (or 288932110 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 33.

Adding to 150559010001024 its reverse (420100010955051), we get a palindrome (570659020956075).

The spelling of 150559010001024 in words is "one hundred fifty trillion, five hundred fifty-nine billion, ten million, one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 59 64 69 92 96 118 128 138 177 184 192 236 276 354 368 384 472 552 708 736 944 1104 1357 1416 1472 1888 2208 2714 2832 2944 3776 4071 4416 5428 5664 7552 8142 8832 10856 11328 16284 21712 22656 32568 43424 65136 86848 130272 173696 260544 521088 288932023 577864046 866796069 1155728092 1733592138 2311456184 3467184276 4622912368 6645436529 6934368552 9245824736 13290873058 13868737104 17046989357 18491649472 19936309587 26581746116 27737474208 34093978714 36983298944 39872619174 51140968071 53163492232 55474948416 68187957428 79745238348 102281936142 106326984464 110949896832 136375914856 159490476696 204563872284 212653968928 272751829712 318980953392 392080755211 409127744568 425307937856 545503659424 637961906784 784161510422 818255489136 850615875712 1091007318848 1176242265633 1275923813568 1568323020844 1636510978272 2182014637696 2352484531266 2551847627136 3136646041688 3273021956544 4704969062532 6273292083376 6546043913088 9409938125064 12546584166752 18819876250128 25093168333504 37639752500256 50186336667008 75279505000512 150559010001024