Search a number
-
+
133632441124 = 227213193439619
BaseRepresentation
bin111110001110100011…
…1010011101100100100
3110202221002000101002021
41330131013103230210
54142134401103444
6141220114552524
712440352002500
oct1743507235444
9422832011067
10133632441124
1151745035996
1221a95298744
13c7a8602a90
146679aa1300
153721bd2584
hex1f1d1d3b24

133632441124 has 144 divisors (see below), whose sum is σ = 295628995200. Its totient is φ = 52387098624.

The previous prime is 133632441121. The next prime is 133632441139. The reversal of 133632441124 is 421144236331.

It is a self number, because there is not a number n which added to its sum of digits gives 133632441124.

It is not an unprimeable number, because it can be changed into a prime (133632441121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215884087 + ... + 215884705.

Almost surely, 2133632441124 is an apocalyptic number.

133632441124 is a gapful number since it is divisible by the number (14) 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 133632441124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147814497600).

133632441124 is an abundant number, since it is smaller than the sum of its proper divisors (161996554076).

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

133632441124 is a wasteful number, since it uses less digits than its factorization.

133632441124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1273 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

Adding to 133632441124 its reverse (421144236331), we get a palindrome (554776677455).

The spelling of 133632441124 in words is "one hundred thirty-three billion, six hundred thirty-two million, four hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 193 196 364 386 439 619 637 772 878 1238 1274 1351 1756 2476 2509 2548 2702 3073 4333 5018 5404 5707 6146 8047 8666 9457 10036 11414 12292 16094 17332 17563 18914 21511 22828 30331 32188 35126 37828 39949 43022 56329 60662 70252 79898 84727 86044 112658 119467 121324 122941 159796 169454 225316 238934 245882 271741 279643 338908 394303 477868 491764 543482 559286 593089 788606 836269 1086964 1101451 1118572 1186178 1553071 1577212 1672538 1902187 2202902 2372356 3106142 3345076 3532633 3804374 4151623 4405804 5853883 6212284 7065266 7608748 7710157 8303246 10871497 11707766 13315309 14130532 15420314 16606492 21742994 23415532 24728431 26630618 30840628 43485988 49456862 52446013 53261236 53971099 76100479 98913724 104892026 107942198 152200958 173099017 209784052 215884396 304401916 346198034 367122091 681798169 692396068 734244182 1363596338 1468488364 2569854637 2727192676 4772587183 5139709274 9545174366 10279418548 19090348732 33408110281 66816220562 133632441124