Search a number
-
+
133424013144 = 23331612939891
BaseRepresentation
bin111110001000010110…
…0001101111101011000
3110202101112211010122110
41330100230031331120
54141223021410034
6141143311352320
712432241253652
oct1742054157530
9422345733573
10133424013144
1151648416964
1221a375226a0
13c774387606
14665a1276d2
15370d760de9
hex1f10b0df58

133424013144 has 64 divisors (see below), whose sum is σ = 349964743680. Its totient is φ = 42334416000.

The previous prime is 133424013097. The next prime is 133424013157. The reversal of 133424013144 is 441310424331.

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 15 ways as a sum of consecutive naturals, for example, 1424562 + ... + 1515329.

It is an arithmetic number, because the mean of its divisors is an integer number (5468199120).

Almost surely, 2133424013144 is an apocalyptic number.

It is an amenable number.

133424013144 is an abundant number, since it is smaller than the sum of its proper divisors (216540730536).

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

133424013144 is a wasteful number, since it uses less digits than its factorization.

133424013144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939992 (or 2939988 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 133424013144 its reverse (441310424331), we get a palindrome (574734437475).

The spelling of 133424013144 in words is "one hundred thirty-three billion, four hundred twenty-four million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 61 62 93 122 124 183 186 244 248 366 372 488 732 744 1464 1891 3782 5673 7564 11346 15128 22692 45384 2939891 5879782 8819673 11759564 17639346 23519128 35278692 70557384 91136621 179333351 182273242 273409863 358666702 364546484 538000053 546819726 717333404 729092968 1076000106 1093639452 1434666808 2152000212 2187278904 4304000424 5559333881 11118667762 16678001643 22237335524 33356003286 44474671048 66712006572 133424013144