Search a number
-
+
146060640100 = 22522338537349
BaseRepresentation
bin1000100000000111100…
…1000111111101100100
3111222000012212022000001
42020001321013331210
54343113010440400
6151033242231044
713360342645654
oct2100171077544
9458005768001
10146060640100
1156a42472811
12243834b5484
1310a093a017b
1470d8504364
153becd36a6a
hex2201e47f64

146060640100 has 72 divisors (see below), whose sum is σ = 318728428200. Its totient is φ = 58097402880.

The previous prime is 146060640091. The next prime is 146060640133. The reversal of 146060640100 is 1046060641.

It can be written as a sum of positive squares in 12 ways, for example, as 85058555904 + 61002084196 = 291648^2 + 246986^2 .

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 23 ways as a sum of consecutive naturals, for example, 19871226 + ... + 19878574.

It is an arithmetic number, because the mean of its divisors is an integer number (4426783725).

Almost surely, 2146060640100 is an apocalyptic number.

146060640100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146060640100 is an abundant number, since it is smaller than the sum of its proper divisors (172667788100).

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

146060640100 is a wasteful number, since it uses less digits than its factorization.

146060640100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8449 (or 8442 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 146060640100 in words is "one hundred forty-six billion, sixty million, six hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 233 466 853 932 1165 1706 2330 3412 4265 4660 5825 7349 8530 11650 14698 17060 21325 23300 29396 36745 42650 73490 85300 146980 183725 198749 367450 397498 734900 794996 993745 1712317 1987490 3424634 3974980 4968725 6268697 6849268 8561585 9937450 12537394 17123170 19874900 25074788 31343485 34246340 42807925 62686970 85615850 125373940 156717425 171231700 313434850 626869700 1460606401 2921212802 5842425604 7303032005 14606064010 29212128020 36515160025 73030320050 146060640100