Search a number
-
+
146672313240 = 23357926215903
BaseRepresentation
bin1000100010011001011…
…0011110001110011000
3112000120211211111210210
42020212112132032120
54400341103010430
6151214052411120
713411451043405
oct2104626361630
9460524744723
10146672313240
1157226773902
1224514316aa0
1310aa602503b
1471558492ac
153c368ad2b0
hex222659e398

146672313240 has 128 divisors (see below), whose sum is σ = 445832294400. Its totient is φ = 38596247040.

The previous prime is 146672313239. The next prime is 146672313253. The reversal of 146672313240 is 42313276641.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 24844129 + ... + 24850031.

It is an arithmetic number, because the mean of its divisors is an integer number (3483064800).

Almost surely, 2146672313240 is an apocalyptic number.

146672313240 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 146672313240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222916147200).

146672313240 is an abundant number, since it is smaller than the sum of its proper divisors (299159981160).

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

146672313240 is a wasteful number, since it uses less digits than its factorization.

146672313240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8617 (or 8613 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

Adding to 146672313240 its reverse (42313276641), we get a palindrome (188985589881).

The spelling of 146672313240 in words is "one hundred forty-six billion, six hundred seventy-two million, three hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 2621 3160 4740 5242 5903 7863 9480 10484 11806 13105 15726 17709 20968 23612 26210 29515 31452 35418 39315 47224 52420 59030 62904 70836 78630 88545 104840 118060 141672 157260 177090 207059 236120 314520 354180 414118 466337 621177 708360 828236 932674 1035295 1242354 1399011 1656472 1865348 2070590 2331685 2484708 2798022 3105885 3730696 4141180 4663370 4969416 5596044 6211770 6995055 8282360 9326740 11192088 12423540 13990110 15471763 18653480 24847080 27980220 30943526 46415289 55960440 61887052 77358815 92830578 123774104 154717630 185661156 232076445 309435260 371322312 464152890 618870520 928305780 1222269277 1856611560 2444538554 3666807831 4889077108 6111346385 7333615662 9778154216 12222692770 14667231324 18334039155 24445385540 29334462648 36668078310 48890771080 73336156620 146672313240