Search a number
-
+
340010403661544 = 237116074861187067
BaseRepresentation
bin100110101001111001101011…
…1010101001000011011101000
31122120212200021122012100211112
41031103303113111020123220
5324031212301314132134
63203050342331045452
7131421640524310430
oct11523632725103350
91576780248170745
10340010403661544
11993796698a5490
12321743642a0888
1311794ac71b0b15
145dd683c90d2c0
1529496b6ac21ce
hex1353cd75486e8

340010403661544 has 128 divisors (see below), whose sum is σ = 796306991800320. Its totient is φ = 132225432134400.

The previous prime is 340010403661501. The next prime is 340010403661603. The reversal of 340010403661544 is 445166304010043.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1817492699 + ... + 1817679765.

It is an arithmetic number, because the mean of its divisors is an integer number (6221148373440).

Almost surely, 2340010403661544 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 340010403661544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398153495900160).

340010403661544 is an abundant number, since it is smaller than the sum of its proper divisors (456296588138776).

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

340010403661544 is a wasteful number, since it uses less digits than its factorization.

340010403661544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192559 (or 192555 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

Adding to 340010403661544 its reverse (445166304010043), we get a palindrome (785176707671587).

The spelling of 340010403661544 in words is "three hundred forty trillion, ten billion, four hundred three million, six hundred sixty-one thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 607 616 1214 2428 4249 4856 4861 6677 8498 9722 13354 16996 19444 26708 33992 34027 38888 46739 53416 53471 68054 93478 106942 136108 186956 187067 213884 272216 373912 374134 374297 427768 748268 748594 1309469 1496536 1497188 2057737 2618938 2950627 2994376 4115474 5237876 5901254 8230948 10475752 11802508 14404159 16461896 20654389 23605016 28808318 32456897 41308778 57616636 64913794 82617556 113549669 115233272 129827588 165235112 227099338 227198279 259655176 454198676 454396558 794847683 908397352 908793116 909332687 1249046359 1589695366 1817586232 1818665374 2498092718 3179390732 3637330748 4996185436 6358781464 6365328809 7274661496 8743324513 9992370872 10002659557 12730657618 17486649026 20005319114 25461315236 34973298052 40010638228 50922630472 69946596104 70018616899 80021276456 140037233798 280074467596 551964941009 560148935192 1103929882018 2207859764036 3863754587063 4415719528072 6071614351099 7727509174126 12143228702198 15455018348252 24286457404396 30910036696504 42501300457693 48572914808792 85002600915386 170005201830772 340010403661544