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321420020231442 = 231129739564740241
BaseRepresentation
bin100100100010101000110111…
…0001000010010110100010010
31120011001110020212000000120010
41021011101232020102310102
5314112121200134401232
63055334152512055350
7124462554510360516
oct11105215610226422
91504043225000503
10321420020231442
1193461513021a70
123007142a534556
1310a46a15c31bc2
145952b52130146
152725d1426a0cc
hex124546e212d12

321420020231442 has 128 divisors (see below), whose sum is σ = 726590493388800. Its totient is φ = 93895166131200.

The previous prime is 321420020231381. The next prime is 321420020231461. The reversal of 321420020231442 is 244132020024123.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7987356442 + ... + 7987396682.

It is an arithmetic number, because the mean of its divisors is an integer number (5676488229600).

Almost surely, 2321420020231442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321420020231442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363295246694400).

321420020231442 is an abundant number, since it is smaller than the sum of its proper divisors (405170473157358).

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

321420020231442 is a wasteful number, since it uses less digits than its factorization.

321420020231442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46672.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 321420020231442 its reverse (244132020024123), we get a palindrome (565552040255565).

The spelling of 321420020231442 in words is "three hundred twenty-one trillion, four hundred twenty billion, twenty million, two hundred thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 739 957 1478 1914 2217 4434 5647 8129 11294 16258 16941 21431 24387 33882 40241 42862 48774 62117 64293 80482 120723 124234 128586 163763 186351 235741 241446 327526 372702 442651 471482 491289 707223 885302 982578 1166989 1327953 1414446 1801393 2333978 2655906 3500967 3602786 4173133 5404179 7001934 8346266 10808358 12519399 12836879 25038798 25673758 29738099 38510637 45904463 59476198 77021274 89214297 91808926 121020857 137713389 178428594 227240927 242041714 275426778 327119089 363062571 454481854 654238178 681722781 726125142 862404871 981357267 1331229427 1363445562 1724809742 1962714534 2499650197 2587214613 2662458854 3993688281 4999300394 5174429226 6589986883 7498950591 7987376562 9486453581 13179973766 14997901182 18972907162 19769960649 28459360743 39539921298 56918721486 72489855713 144979711426 167931045053 217469567139 335862090106 434939134278 503793135159 1007586270318 1847241495583 3694482991166 4870000306537 5541724486749 9740000613074 11083448973498 14610000919611 29220001839222 53570003371907 107140006743814 160710010115721 321420020231442