Search a number
-
+
41401300122 = 2347134759753
BaseRepresentation
bin100110100011101101…
…011011010010011010
310221212022211221220000
4212203231123102122
51134242213100442
631004113313430
72663651146620
oct464355332232
9127768757800
1041401300122
1116615a55616
128035265876
133b9a497a30
14200a73b510
151124a36d4c
hex9a3b5b49a

41401300122 has 160 divisors (see below), whose sum is σ = 116609213952. Its totient is φ = 10686525696.

The previous prime is 41401300117. The next prime is 41401300147. The reversal of 41401300122 is 22100310414.

41401300122 is a `hidden beast` number, since 414 + 0 + 130 + 0 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41401300095 and 41401300104.

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 79 ways as a sum of consecutive naturals, for example, 662998 + ... + 722750.

Almost surely, 241401300122 is an apocalyptic number.

41401300122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41401300122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58304606976).

41401300122 is an abundant number, since it is smaller than the sum of its proper divisors (75207913830).

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

41401300122 is a wasteful number, since it uses less digits than its factorization.

41401300122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59834 (or 59825 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 41401300122 its reverse (22100310414), we get a palindrome (63501610536).

The spelling of 41401300122 in words is "forty-one billion, four hundred one million, three hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 47 54 63 78 81 91 94 117 126 141 162 182 189 234 273 282 329 351 378 423 546 567 611 658 702 819 846 987 1053 1134 1222 1269 1638 1833 1974 2106 2457 2538 2961 3666 3807 4277 4914 5499 5922 7371 7614 8554 8883 10998 12831 14742 16497 17766 25662 26649 32994 38493 49491 53298 59753 76986 98982 115479 119506 179259 230958 346437 358518 418271 537777 692874 776789 836542 1075554 1254813 1553578 1613331 2330367 2509626 2808391 3226662 3764439 4660734 4839993 5437523 5616782 6991101 7528878 8425173 9679986 10875046 11293317 13982202 16312569 16850346 19658737 20973303 22586634 25275519 32625138 33879951 36509083 39317474 41946606 48937707 50551038 58976211 62919909 67759902 73018166 75826557 97875414 109527249 117952422 125839818 146813121 151653114 176928633 219054498 227479671 255563581 293626242 328581747 353857266 440439363 454959342 511127162 530785899 657163494 766690743 880878726 985745241 1061571798 1533381486 1592357697 1971490482 2300072229 2957235723 3184715394 4600144458 5914471446 6900216687 13800433374 20700650061 41401300122