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14344111100340 = 22325715349741691
BaseRepresentation
bin1101000010111011111110…
…1001011001000110110100
31212210021122202200001110200
43100232333221121012310
53340003214420202330
650301332122120500
73010220305424130
oct320567751310664
955707582601420
1014344111100340
11463033784750a
121737b99950130
1380084a785958
14378389b723c0
1519d1cae62a60
hexd0bbfa591b4

14344111100340 has 144 divisors (see below), whose sum is σ = 49729558569600. Its totient is φ = 3278435938560.

The previous prime is 14344111100327. The next prime is 14344111100369. The reversal of 14344111100340 is 4300111144341.

14344111100340 is a `hidden beast` number, since 143 + 4 + 411 + 1 + 100 + 3 + 4 + 0 = 666.

It is a super-3 number, since 3×143441111003403 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18968895 + ... + 19710585.

Almost surely, 214344111100340 is an apocalyptic number.

14344111100340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14344111100340 is an abundant number, since it is smaller than the sum of its proper divisors (35385447469260).

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

14344111100340 is a wasteful number, since it uses less digits than its factorization.

14344111100340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757062 (or 757057 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 14344111100340 its reverse (4300111144341), we get a palindrome (18644222244681).

The spelling of 14344111100340 in words is "fourteen trillion, three hundred forty-four billion, one hundred eleven million, one hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 15349 30698 46047 61396 76745 92094 107443 138141 153490 184188 214886 230235 276282 306980 322329 429772 460470 537215 552564 644658 690705 741691 920940 966987 1074430 1289316 1381410 1483382 1611645 1933974 2148860 2225073 2762820 2966764 3223290 3708455 3867948 4450146 4834935 5191837 6446580 6675219 7416910 8900292 9669870 10383674 11125365 13350438 14833820 15575511 19339740 20767348 22250730 25959185 26700876 31151022 33376095 44501460 46726533 51918370 62302044 66752190 77877555 93453066 103836740 133504380 155755110 186906132 233632665 311510220 467265330 934530660 11384215159 22768430318 34152645477 45536860636 56921075795 68305290954 79689506113 102457936431 113842151590 136610581908 159379012226 170763227385 204915872862 227684303180 239068518339 318758024452 341526454770 398447530565 409831745724 478137036678 512289682155 683052909540 717205555017 796895061130 956274073356 1024579364310 1195342591695 1434411110034 1593790122260 2049158728620 2390685183390 2868822220068 3586027775085 4781370366780 7172055550170 14344111100340