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321424310341420 = 2251121324414185547
BaseRepresentation
bin100100100010101010110110…
…1110101110000111100101100
31120011001212022211121012002021
41021011111231311300330230
5314112203441421411140
63055340142324035524
7124463066022613006
oct11105255565607454
91504055284535067
10321424310341420
1193463314745100
1230072227232ba4
1310a4724a99a910
14595303bc01376
152725eb5be8b4a
hex124556dd70f2c

321424310341420 has 144 divisors (see below), whose sum is σ = 799331546924064. Its totient is φ = 107846452454400.

The previous prime is 321424310341411. The next prime is 321424310341429. The reversal of 321424310341420 is 24143013424123.

It is an interprime number because it is at equal distance from previous prime (321424310341411) and next prime (321424310341429).

It is not an unprimeable number, because it can be changed into a prime (321424310341429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74701087 + ... + 78886633.

It is an arithmetic number, because the mean of its divisors is an integer number (5550913520306).

Almost surely, 2321424310341420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321424310341420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399665773462032).

321424310341420 is an abundant number, since it is smaller than the sum of its proper divisors (477907236582644).

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

321424310341420 is a wasteful number, since it uses less digits than its factorization.

321424310341420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188032 (or 4188019 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 321424310341420 its reverse (24143013424123), we get a palindrome (345567323765543).

The spelling of 321424310341420 in words is "three hundred twenty-one trillion, four hundred twenty-four billion, three hundred ten million, three hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 605 715 1210 1430 1573 2420 2441 2860 3146 4882 6292 7865 9764 12205 15730 24410 26851 31460 31733 48820 53702 63466 107404 126932 134255 158665 268510 295361 317330 349063 537020 590722 634660 698126 1181444 1396252 1476805 1745315 2953610 3490630 3839693 4185547 5907220 6981260 7679386 8371094 15358772 16742188 19198465 20927735 38396930 41855470 46041017 54412111 76793860 83710940 92082034 108824222 184164068 217648444 230205085 272060555 460410170 506451187 544121110 598533221 920820340 1012902374 1088242220 1197066442 2025804748 2394132884 2532255935 2992666105 5064511870 5985332210 6583865431 10129023740 10216920227 11970664420 13167730862 20433840454 26335461724 32919327155 40867680908 51084601135 65838654310 102169202270 112386122497 131677308620 132819962951 204338404540 224772244994 265639925902 449544489988 531279851804 561930612485 664099814755 1123861224970 1236247347467 1328199629510 1461019592461 2247722449940 2472494694934 2656399259020 2922039184922 4944989389868 5844078369844 6181236737335 7305097962305 12362473474670 14610195924610 16071215517071 24724946949340 29220391849220 32142431034142 64284862068284 80356077585355 160712155170710 321424310341420