Search a number
-
+
2145355221150 = 23252171671679273
BaseRepresentation
bin11111001110000001001…
…000101100100010011110
321121002112111100011002100
4133032001020230202132
5240122141414034100
64321321303505530
7310665621333021
oct37160110544236
97532474304070
102145355221150
11757927102929
122a794b1582a6
131273c974877b
1475b9b4091b8
153ac13e21400
hex1f38122c89e

2145355221150 has 144 divisors (see below), whose sum is σ = 6139452612384. Its totient is φ = 535217571840.

The previous prime is 2145355221131. The next prime is 2145355221169. The reversal of 2145355221150 is 511225535412.

2145355221150 is a `hidden beast` number, since 2 + 1 + 4 + 53 + 552 + 2 + 1 + 1 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (2145355221131) and next prime (2145355221169).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 437914 + ... + 2117186.

It is an arithmetic number, because the mean of its divisors is an integer number (42635087586).

Almost surely, 22145355221150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145355221150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069726306192).

2145355221150 is an abundant number, since it is smaller than the sum of its proper divisors (3994097391234).

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

2145355221150 is a wasteful number, since it uses less digits than its factorization.

2145355221150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679475 (or 1679467 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 2145355221150 in words is "two trillion, one hundred forty-five billion, three hundred fifty-five million, two hundred twenty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 167 170 225 255 306 334 425 450 501 510 765 835 850 1002 1275 1503 1530 1670 2505 2550 2839 3006 3825 4175 5010 5678 7515 7650 8350 8517 12525 14195 15030 17034 25050 25551 28390 37575 42585 51102 70975 75150 85170 127755 141950 212925 255510 425850 638775 1277550 1679273 3358546 5037819 8396365 10075638 15113457 16792730 25189095 28547641 30226914 41981825 50378190 57095282 75567285 83963650 85642923 125945475 142738205 151134570 171285846 251890950 256928769 280438591 285476410 377836425 428214615 513857538 560877182 713691025 755672850 841315773 856429230 1284643845 1402192955 1427382050 1682631546 2141073075 2523947319 2569287690 2804385910 4206578865 4282146150 4767456047 5047894638 6423219225 7010964775 8413157730 9534912094 12619736595 12846438450 14021929550 14302368141 21032894325 23837280235 25239473190 28604736282 42065788650 42907104423 47674560470 63098682975 71511840705 85814208846 119186401175 126197365950 143023681410 214535522115 238372802350 357559203525 429071044230 715118407050 1072677610575 2145355221150