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141749601756 = 223717128377369
BaseRepresentation
bin1000010000000011101…
…1110100010111011100
3111112212202212212011020
42010000323310113130
54310300344224011
6145041401524140
713145454510030
oct2040073642734
9445782785136
10141749601756
115512aa55904
122357b7a3650
13104a01b75c9
146c09b461c0
153a49622006
hex2100ef45dc

141749601756 has 96 divisors (see below), whose sum is σ = 400551298560. Its totient is φ = 38087337984.

The previous prime is 141749601737. The next prime is 141749601779. The reversal of 141749601756 is 657106947141.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 141749601699 and 141749601708.

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, 1793440 + ... + 1870808.

It is an arithmetic number, because the mean of its divisors is an integer number (4172409360).

Almost surely, 2141749601756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141749601756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200275649280).

141749601756 is an abundant number, since it is smaller than the sum of its proper divisors (258801696804).

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

141749601756 is a wasteful number, since it uses less digits than its factorization.

141749601756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78683 (or 78681 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 141749601756 in words is "one hundred forty-one billion, seven hundred forty-nine million, six hundred one thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1283 1428 2566 3849 5132 7698 8981 15396 17962 21811 26943 35924 43622 53886 65433 77369 87244 107772 130866 152677 154738 232107 261732 305354 309476 458031 464214 541583 610708 916062 928428 1083166 1315273 1624749 1832124 2166332 2630546 3249498 3945819 5261092 6498996 7891638 9206911 15783276 18413822 27620733 36827644 55241466 99264427 110482932 198528854 297793281 397057708 595586562 694850989 1191173124 1389701978 1687495259 2084552967 2779403956 3374990518 4169105934 5062485777 6749981036 8338211868 10124971554 11812466813 20249943108 23624933626 35437400439 47249867252 70874800878 141749601756