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414030230010 = 232547353277279
BaseRepresentation
bin1100000011001100001…
…11111111000111111010
31110120200110220220100100
412001212013333013322
523240413214330020
6514111452420230
741625024613455
oct6014607770772
91416613826310
10414030230010
1114a6532a8911
12682a9a77676
13300732a2aa7
14160796a849c
15ab834eda90
hex60661ff1fa

414030230010 has 96 divisors (see below), whose sum is σ = 1102500771840. Its totient is φ = 107752449024.

The previous prime is 414030229969. The next prime is 414030230077. The reversal of 414030230010 is 10032030414.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1354551 + ... + 1631829.

It is an arithmetic number, because the mean of its divisors is an integer number (11484383040).

Almost surely, 2414030230010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414030230010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551250385920).

414030230010 is an abundant number, since it is smaller than the sum of its proper divisors (688470541830).

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

414030230010 is a wasteful number, since it uses less digits than its factorization.

414030230010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277692 (or 277689 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 414030230010 its reverse (10032030414), we get a palindrome (424062260424).

The spelling of 414030230010 in words is "four hundred fourteen billion, thirty million, two hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 353 423 470 705 706 846 1059 1410 1765 2115 2118 3177 3530 4230 5295 6354 10590 15885 16591 31770 33182 49773 82955 99546 149319 165910 248865 277279 298638 497730 554558 746595 831837 1386395 1493190 1663674 2495511 2772790 4159185 4991022 8318370 12477555 13032113 24955110 26064226 39096339 65160565 78192678 97879487 117289017 130321130 195481695 195758974 234578034 293638461 390963390 489397435 586445085 587276922 880915383 978794870 1172890170 1468192305 1761830766 2936384610 4404576915 4600335889 8809153830 9200671778 13801007667 23001679445 27602015334 41403023001 46003358890 69005038335 82806046002 138010076670 207015115005 414030230010