Search a number
-
+
41751361428 = 2237612223599
BaseRepresentation
bin100110111000100100…
…110011011110010100
310222202201112220201120
4212320210303132110
51141001322031203
631102540323540
73005431500540
oct467044633624
9128681486646
1041751361428
1116785611887
1281125435b0
133c24b72aba
142041022a20
151145633b53
hex9b8933794

41751361428 has 144 divisors (see below), whose sum is σ = 113889484800. Its totient is φ = 11661287040.

The previous prime is 41751361427. The next prime is 41751361453. The reversal of 41751361428 is 82416315714.

41751361428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 41751361428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41751361423) 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, 69701473 + ... + 69702071.

It is an arithmetic number, because the mean of its divisors is an integer number (790899200).

Almost surely, 241751361428 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 41751361428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56944742400).

41751361428 is an abundant number, since it is smaller than the sum of its proper divisors (72138123372).

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

41751361428 is a wasteful number, since it uses less digits than its factorization.

41751361428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 895 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The spelling of 41751361428 in words is "forty-one billion, seven hundred fifty-one million, three hundred sixty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 223 244 366 427 446 599 669 732 854 892 1198 1281 1338 1561 1708 1797 2396 2562 2676 3122 3594 3721 4193 4683 5124 6244 7188 7442 8386 9366 11163 12579 13603 14884 16772 18732 22326 25158 26047 27206 36539 40809 44652 50316 52094 54412 73078 78141 81618 95221 104188 109617 133577 146156 156282 163236 190442 219234 255773 267154 285663 312564 380884 400731 438468 511546 534308 571326 767319 801462 829783 935039 1023092 1142652 1534638 1602924 1659566 1870078 2228879 2489349 2805117 3069276 3319132 3740156 4457758 4978698 5610234 5808481 6686637 8148197 8915516 9957396 11220468 11616962 13373274 15602153 16296394 17425443 23233924 24444591 26746548 31204306 32592788 34850886 46806459 48889182 57037379 62408612 69701772 93612918 97778364 114074758 171112137 187225836 228149516 342224274 497040017 684448548 994080034 1491120051 1988160068 2982240102 3479280119 5964480204 6958560238 10437840357 13917120476 20875680714 41751361428