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41100441144430 = 25131191227769941
BaseRepresentation
bin10010101100001011100010…
…01100011100110001101110
312101112011102102002020102211
421112011301030130301232
520341342200413110210
6223225140525041034
711441260150325443
oct1126056114346156
9171464372066384
1041100441144430
11121066655a3438
12473965a6b617a
1319c19a788ba35
14a213b43b79ca
154b41b42ac38a
hex25617131cc6e

41100441144430 has 128 divisors (see below), whose sum is σ = 75443901603840. Its totient is φ = 16119607296000.

The previous prime is 41100441144383. The next prime is 41100441144461. The reversal of 41100441144430 is 3444114400114.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 41100441144392 and 41100441144401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43677407760 + ... + 43677408700.

It is an arithmetic number, because the mean of its divisors is an integer number (589405481280).

Almost surely, 241100441144430 is an apocalyptic number.

41100441144430 is a deficient number, since it is larger than the sum of its proper divisors (34343460459410).

41100441144430 is a wasteful number, since it uses less digits than its factorization.

41100441144430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266.

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 41100441144430 its reverse (3444114400114), we get a palindrome (44544555544544).

The spelling of 41100441144430 in words is "forty-one trillion, one hundred billion, four hundred forty-one million, one hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 5 10 131 191 227 262 382 454 655 769 941 955 1135 1310 1538 1882 1910 2270 3845 4705 7690 9410 25021 29737 43357 50042 59474 86714 100739 123271 125105 146879 148685 174563 179731 201478 213607 216785 246542 250210 293758 297370 349126 359462 427214 433570 503695 616355 723629 734395 872815 898655 1007390 1068035 1232710 1447258 1468790 1745630 1797310 2136070 3618145 5679767 7236290 11359534 19241149 22867753 23544761 27982517 28398835 33341533 38482298 40798937 45735506 47089522 55965034 56797670 66683066 81597874 94795399 96205745 114338765 117723805 138213139 139912585 164263783 166707665 189590798 192411490 203994685 228677530 235447610 276426278 279825170 328527566 333415330 407989370 473976995 691065695 821318915 947953990 1382131390 1642637830 4367740823 5344660747 8735481646 10689321494 18105921209 21518555573 21838704115 26723303735 31374382553 36211842418 43037111146 43677408230 53446607470 62748765106 90529606045 107592777865 156871912765 181059212090 215185555730 313743825530 4110044114443 8220088228886 20550220572215 41100441144430