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424202244240 = 24353747770523
BaseRepresentation
bin1100010110001000110…
…11001001000010010000
31111112221101100202122010
412023010123021002100
523422231233303430
6522513102142520
742435061403565
oct6130433110220
91445841322563
10424202244240
111539a3120745
126a268581a40
13310047c9318
141676260686c
15b07b538cb0
hex62c46c9090

424202244240 has 80 divisors (see below), whose sum is σ = 1350568254528. Its totient is φ = 110063282688.

The previous prime is 424202244229. The next prime is 424202244259. The reversal of 424202244240 is 42442202424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4242022442402 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 424202244198 and 424202244207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23876382 + ... + 23894141.

Almost surely, 2424202244240 is an apocalyptic number.

424202244240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424202244240 is an abundant number, since it is smaller than the sum of its proper divisors (926366010288).

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

424202244240 is a wasteful number, since it uses less digits than its factorization.

424202244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47770576 (or 47770570 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 424202244240 its reverse (42442202424), we get a palindrome (466644446664).

The spelling of 424202244240 in words is "four hundred twenty-four billion, two hundred two million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 47770523 95541046 143311569 191082092 238852615 286623138 382164184 477705230 573246276 716557845 764328368 955410460 1146492552 1433115690 1767509351 1910820920 2292985104 2866231380 3535018702 3821641840 5302528053 5732462760 7070037404 8837546755 10605056106 11464925520 14140074808 17675093510 21210112212 26512640265 28280149616 35350187020 42420224424 53025280530 70700374040 84840448848 106050561060 141400748080 212101122120 424202244240