Search a number
-
+
405311707036444 = 221323159985937589
BaseRepresentation
bin101110000101000001111110…
…0010100100011101100011100
31222011002102100202011100012111
41130022003330110203230130
5411111111334000131234
63554005343331043404
7151241542640531545
oct13412037424435434
91864072322140174
10405311707036444
1110816580319318a
123956015a740564
131452096499c300
147213296c8d4cc
1531cd14abb0664
hex170a0fc523b1c

405311707036444 has 144 divisors (see below), whose sum is σ = 795098868480000. Its totient is φ = 180515101029120.

The previous prime is 405311707036393. The next prime is 405311707036487. The reversal of 405311707036444 is 444630707113504.

It is a super-2 number, since 2×4053117070364442 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10782702402 + ... + 10782739990.

It is an arithmetic number, because the mean of its divisors is an integer number (5521519920000).

Almost surely, 2405311707036444 is an apocalyptic number.

It is an amenable number.

405311707036444 is a deficient number, since it is larger than the sum of its proper divisors (389787161443556).

405311707036444 is a wasteful number, since it uses less digits than its factorization.

405311707036444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39108 (or 39093 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 49.

The spelling of 405311707036444 in words is "four hundred five trillion, three hundred eleven billion, seven hundred seven million, thirty-six thousand, four hundred forty-four".

Divisors: 1 2 4 13 26 31 52 62 124 169 338 403 599 676 806 859 1198 1612 1718 2396 3436 5239 7787 10478 11167 15574 18569 20956 22334 26629 31148 37138 37589 44668 53258 74276 75178 101231 106516 145171 150356 202462 241397 290342 346177 404924 482794 488657 514541 580684 692354 965588 977314 1029082 1165259 1384708 1954628 2058164 2330518 3138161 4500301 4661036 6276322 6352541 6689033 9000602 12552644 12705082 13378066 15148367 15950771 18001204 22515811 25410164 26756132 30296734 31901542 32288951 45031622 60593468 63803084 64577902 86957429 90063244 129155804 173914858 196928771 207360023 292705543 347829716 393857542 414720046 419756363 585411086 697990141 787715084 829440092 839512726 1000957481 1170822172 1395980282 1679025452 2001914962 2695680299 2791960564 3805172059 4003829924 5391360598 5456832719 7610344118 9073871833 10782721196 10913665438 13012447253 15220688236 18147743666 19341081649 21827330876 26024894506 36295487332 38682163298 52049789012 77364326596 117960333829 169161814289 235920667658 251434061437 338323628578 471841335316 502868122874 599573531119 676647257156 1005736245748 1199147062238 2398294124476 3268642798681 6537285597362 7794455904547 13074571194724 15588911809094 31177823618188 101327926759111 202655853518222 405311707036444