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41424412200402 = 23711829225148049
BaseRepresentation
bin10010110101100110111110…
…10111111100110111010010
312102200010122111210002010210
421122303133113330313102
520412144144010403102
6224034040125104550
711503546360011510
oct1132633727746722
9172603574702123
1041424412200402
1112220aa38338a0
1247903b39b8156
131a163c79c151a
14a32d48d7d4b0
154bc82614136c
hex25acdf5fcdd2

41424412200402 has 128 divisors (see below), whose sum is σ = 103464734976000. Its totient is φ = 10741610880000.

The previous prime is 41424412200401. The next prime is 41424412200407. The reversal of 41424412200402 is 20400221442414.

It is a super-2 number, since 2×414244122004022 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41424412200402.

It is not an unprimeable number, because it can be changed into a prime (41424412200401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 862104474 + ... + 862152522.

It is an arithmetic number, because the mean of its divisors is an integer number (808318242000).

Almost surely, 241424412200402 is an apocalyptic number.

41424412200402 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 41424412200402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51732367488000).

41424412200402 is an abundant number, since it is smaller than the sum of its proper divisors (62040322775598).

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

41424412200402 is a wasteful number, since it uses less digits than its factorization.

41424412200402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51152.

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 41424412200402 its reverse (20400221442414), we get a palindrome (61824633642816).

The spelling of 41424412200402 in words is "forty-one trillion, four hundred twenty-four billion, four hundred twelve million, two hundred thousand, four hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 829 1658 2251 2487 4502 4974 5803 6753 9119 11606 13506 15757 17409 18238 24761 27357 31514 34818 47271 48049 49522 54714 63833 74283 94542 96098 127666 144147 148566 173327 191499 288294 336343 346654 382998 519981 528539 672686 1009029 1039962 1057078 1585617 1866079 2018058 3171234 3699773 3732158 5598237 7399546 11099319 11196474 13062553 20526869 22198638 26125106 39187659 39832621 41053738 61580607 78375318 79665242 108158299 119497863 123161214 143688083 216316598 238995726 278828347 287376166 324474897 431064249 438158831 557656694 648949794 757108093 836485041 862128498 876317662 1189741289 1314476493 1514216186 1672970082 2271324279 2379482578 2628952986 3067111817 3569223867 4542648558 6134223634 7138447734 8328189023 9201335451 16656378046 18402670902 24984567069 49969134138 89663229871 179326459742 268989689613 537979379226 627642609097 986295528581 1255285218194 1882927827291 1972591057162 2958886585743 3765855654582 5917773171486 6904068700067 13808137400134 20712206100201 41424412200402