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214440422333424 = 24371734057909319
BaseRepresentation
bin110000110000100001001101…
…001100101101101111110000
31001010021022012201212200100220
4300300201031030231233300
5211101342441104132144
62040024323043413040
763111544400026650
oct6060411514555760
91033238181780326
10214440422333424
1162366743a58761
1220073ba7684180
139286850264541
143ad4d8695c360
1519bd14a493919
hexc3084d32dbf0

214440422333424 has 160 divisors (see below), whose sum is σ = 636927068820480. Its totient is φ = 60899456157696.

The previous prime is 214440422333419. The next prime is 214440422333443. The reversal of 214440422333424 is 424333224044412.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235370637 + ... + 236279955.

It is an arithmetic number, because the mean of its divisors is an integer number (3980794180128).

Almost surely, 2214440422333424 is an apocalyptic number.

214440422333424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214440422333424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318463534410240).

214440422333424 is an abundant number, since it is smaller than the sum of its proper divisors (422486646487056).

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

214440422333424 is a wasteful number, since it uses less digits than its factorization.

214440422333424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913567 (or 913561 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 42.

Adding to 214440422333424 its reverse (424333224044412), we get a palindrome (638773646377836).

The spelling of 214440422333424 in words is "two hundred fourteen trillion, four hundred forty billion, four hundred twenty-two million, three hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 173 336 346 519 692 1038 1211 1384 2076 2422 2768 3633 4057 4152 4844 7266 8114 8304 9688 12171 14532 16228 19376 24342 28399 29064 32456 48684 56798 58128 64912 85197 97368 113596 170394 194736 227192 340788 454384 681576 701861 909319 1363152 1403722 1818638 2105583 2727957 2807444 3637276 4211166 4913027 5455914 5614888 6365233 7274552 8422332 9826054 10911828 11229776 12730466 14549104 14739081 16844664 19095699 19652108 21823656 25460932 29478162 33689328 38191398 39304216 43647312 50921864 58956324 76382796 78608432 101843728 117912648 152765592 157312187 235825296 305531184 314624374 471936561 629248748 943873122 1101185309 1258497496 1887746244 2202370618 2516994992 3303555927 3689107183 3775492488 4404741236 6607111854 7378214366 7550984976 8809482472 11067321549 13214223708 14756428732 17618964944 22134643098 25823750281 26428447416 29512857464 44269286196 51647500562 52856894832 59025714928 77471250843 88538572392 103295001124 154942501686 177077144784 206590002248 309885003372 413180004496 619770006744 638215542659 1239540013488 1276431085318 1914646627977 2552862170636 3829293255954 4467508798613 5105724341272 7658586511908 8935017597226 10211448682544 13402526395839 15317173023816 17870035194452 26805052791678 30634346047632 35740070388904 53610105583356 71480140777808 107220211166712 214440422333424