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412024314441420 = 223256379935878681
BaseRepresentation
bin101110110101110111110001…
…0111001101010111011001100
32000000212010202220020211011200
41131223233202321222323030
5413001101243444111140
64020145205035545500
7152533526416203222
oct13553574271527314
92000763686224150
10412024314441420
1110a31359206118a
123a2650a52bb290
13148b995941ca85
1473a6124514b12
153297a70953030
hex176bbe2e6aecc

412024314441420 has 72 divisors (see below), whose sum is σ = 1249826711733600. Its totient is φ = 109871425278720.

The previous prime is 412024314441293. The next prime is 412024314441427. The reversal of 412024314441420 is 24144413420214.

412024314441420 is a `hidden beast` number, since 4 + 1 + 20 + 24 + 31 + 444 + 142 + 0 = 666.

It is a super-2 number, since 2×4120243144414202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (412024314441427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6455521 + ... + 29423160.

Almost surely, 2412024314441420 is an apocalyptic number.

It is an amenable number.

412024314441420 is an abundant number, since it is smaller than the sum of its proper divisors (837802397292180).

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

412024314441420 is a wasteful number, since it uses less digits than its factorization.

412024314441420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35942495 (or 35942490 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 412024314441420 its reverse (24144413420214), we get a palindrome (436168727861634).

The spelling of 412024314441420 in words is "four hundred twelve trillion, twenty-four billion, three hundred fourteen million, four hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 63799 127598 191397 255196 318995 382794 574191 637990 765588 956985 1148382 1275980 1913970 2296764 2870955 3827940 5741910 11483820 35878681 71757362 107636043 143514724 179393405 215272086 322908129 358786810 430544172 538180215 645816258 717573620 1076360430 1291632516 1614540645 2152720860 3229081290 6458162580 2289023969119 4578047938238 6867071907357 9156095876476 11445119845595 13734143814714 20601215722071 22890239691190 27468287629428 34335359536785 41202431444142 45780479382380 68670719073570 82404862888284 103006078610355 137341438147140 206012157220710 412024314441420