Search a number
-
+
132654144342430 = 253137315115591
BaseRepresentation
bin11110001010010111110011…
…001001101100100110011110
3122101200121112101211202220001
4132022113303021230212132
5114341401141422424210
61150044250030244514
736640642234321354
oct3612276311544636
9571617471752801
10132654144342430
11392a4341216447
1212a6531865673a
135903303005ba9
1424a86cdbcb7d4
15105098aa2203a
hex78a5f326c99e

132654144342430 has 128 divisors (see below), whose sum is σ = 253539483402240. Its totient is φ = 49920157872000.

The previous prime is 132654144342413. The next prime is 132654144342469. The reversal of 132654144342430 is 34243441456231.

It is a super-2 number, since 2×1326541443424302 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23726368935 + ... + 23726374525.

It is an arithmetic number, because the mean of its divisors is an integer number (1980777214080).

Almost surely, 2132654144342430 is an apocalyptic number.

132654144342430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132654144342430 is a deficient number, since it is larger than the sum of its proper divisors (120885339059810).

132654144342430 is an equidigital number, since it uses as much as digits as its factorization.

132654144342430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7251 (or 7177 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 46.

Adding to 132654144342430 its reverse (34243441456231), we get a palindrome (166897585798661).

The spelling of 132654144342430 in words is "one hundred thirty-two trillion, six hundred fifty-four billion, one hundred forty-four million, three hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 5 10 31 37 62 74 155 185 310 370 1147 1369 1511 2294 2738 3022 5591 5735 6845 7555 11182 11470 13690 15110 27955 42439 46841 50653 55907 55910 84878 93682 101306 111814 173321 206867 212195 234205 253265 279535 346642 413734 424390 468410 506530 559070 866605 1034335 1570243 1733117 1733210 2068559 2068670 3140486 3466234 4137118 6412877 7654079 7851215 8448001 8665585 10342795 12825754 15308158 15702430 16896002 17331170 20685590 32064385 38270395 42240005 64125329 64128770 76536683 76540790 84480010 128250658 153073366 237276449 261888031 283200923 312576037 320626645 382683415 474552898 523776062 566401846 625152074 641253290 765366830 1186382245 1309440155 1416004615 1562880185 2372637173 2372764490 2618880310 2832009230 3125760370 4745274346 8779228613 9689857147 11565313369 11863185865 17558457226 19379714294 23130626738 23726371730 43896143065 48449285735 57826566845 87792286130 96898571470 115653133690 358524714439 427916594653 717049428878 855833189306 1792623572195 2139582973265 3585247144390 4279165946530 13265414434243 26530828868486 66327072171215 132654144342430