Search a number
-
+
441430430131200 = 2103525747792059
BaseRepresentation
bin110010001011110101000011…
…1111110110010010000000000
32010212222100002122211202101110
41210113222013332302100000
5430324344010103144300
64202502201241203320
7161660203366342656
oct14427520776622000
92125870078752343
10441430430131200
11118720659817a14
1241614211a90540
1315c40931c45673
147b014bd942dd6
15360794274a550
hex1917a87fb2400

441430430131200 has 132 divisors (see below), whose sum is σ = 1458950563005680. Its totient is φ = 117714781347840.

The previous prime is 441430430131129. The next prime is 441430430131217. The reversal of 441430430131200 is 2131034034144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2873819230 + ... + 2873972829.

Almost surely, 2441430430131200 is an apocalyptic number.

441430430131200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441430430131200 is an abundant number, since it is smaller than the sum of its proper divisors (1017520132874480).

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

441430430131200 is a wasteful number, since it uses less digits than its factorization.

441430430131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5747792092 (or 5747792069 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 441430430131200 its reverse (2131034034144), we get a palindrome (443561464165344).

The spelling of 441430430131200 in words is "four hundred forty-one trillion, four hundred thirty billion, four hundred thirty million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1024 1200 1280 1536 1600 1920 2400 2560 3072 3200 3840 4800 5120 6400 7680 9600 12800 15360 19200 25600 38400 76800 5747792059 11495584118 17243376177 22991168236 28738960295 34486752354 45982336472 57477920590 68973504708 86216880885 91964672944 114955841180 137947009416 143694801475 172433761770 183929345888 229911682360 275894018832 287389602950 344867523540 367858691776 431084404425 459823364720 551788037664 574779205900 689735047080 735717383552 862168808850 919646729440 1103576075328 1149558411800 1379470094160 1471434767104 1724337617700 1839293458880 2207152150656 2299116823600 2758940188320 2942869534208 3448675235400 3678586917760 4414304301312 4598233647200 5517880376640 5885739068416 6897350470800 7357173835520 8828608602624 9196467294400 11035760753280 13794700941600 14714347671040 17657217205248 18392934588800 22071521506560 27589401883200 29428695342080 36785869177600 44143043013120 55178803766400 73571738355200 88286086026240 110357607532800 147143476710400 220715215065600 441430430131200