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414102043004100 = 2235211193364917469
BaseRepresentation
bin101111000100111111010010…
…1001011001000110011000100
32000022012202202101002202220120
41132021332211023020303010
5413234121441002112400
64024415504033501540
7153136612442452533
oct13611764513106304
92008182671082816
10414102043004100
1110aa44765726620
123a53b9004118b0
1314a0a8693347a9
1474389081c831a
1532d1b277c0ca0
hex1789fa52c8cc4

414102043004100 has 144 divisors (see below), whose sum is σ = 1307732830783680. Its totient is φ = 100336438540800.

The previous prime is 414102043004099. The next prime is 414102043004131. The reversal of 414102043004100 is 1400340201414.

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, 26079835 + ... + 38837634.

Almost surely, 2414102043004100 is an apocalyptic number.

It is an amenable number.

414102043004100 is an abundant number, since it is smaller than the sum of its proper divisors (893630787779580).

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

414102043004100 is a wasteful number, since it uses less digits than its factorization.

414102043004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64919430 (or 64919423 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 414102043004100 its reverse (1400340201414), we get a palindrome (415502383205514).

The spelling of 414102043004100 in words is "four hundred fourteen trillion, one hundred two billion, forty-three million, four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 1933 3300 3866 5799 7732 9665 11598 19330 21263 23196 28995 38660 42526 48325 57990 63789 85052 96650 106315 115980 127578 144975 193300 212630 255156 289950 318945 425260 531575 579900 637890 1063150 1275780 1594725 2126300 3189450 6378900 64917469 129834938 194752407 259669876 324587345 389504814 649174690 714092159 779009628 973762035 1298349380 1428184318 1622936725 1947524070 2142276477 2856368636 3245873450 3570460795 3895048140 4284552954 4868810175 6491746900 7140921590 8569105908 9737620350 10711382385 14281843180 17852303975 19475240700 21422764770 35704607950 42845529540 53556911925 71409215900 107113823850 125485467577 214227647700 250970935154 376456402731 501941870308 627427337885 752912805462 1254854675770 1380340143347 1505825610924 1882282013655 2509709351540 2760680286694 3137136689425 3764564027310 4141020430041 5521360573388 6274273378850 6901700716735 7529128054620 8282040860082 9411410068275 12548546757700 13803401433470 16564081720164 18822820136550 20705102150205 27606802866940 34508503583675 37645640273100 41410204300410 69017007167350 82820408600820 103525510751025 138034014334700 207051021502050 414102043004100