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422334021340 = 225721147838191
BaseRepresentation
bin1100010010101010001…
…00011011111011011100
31111101010011222012121101
412021111010123323130
523404420002140330
6522003443442444
742340554643600
oct6112504337334
91441104865541
10422334021340
111531245aa180
1269a26986424
1330a9774059a
1416626451500
15aebc5064ca
hex625511bedc

422334021340 has 144 divisors (see below), whose sum is σ = 1125865488384. Its totient is φ = 131592988800.

The previous prime is 422334021301. The next prime is 422334021383. The reversal of 422334021340 is 43120433224.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 422334021299 and 422334021308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51556645 + ... + 51564835.

It is an arithmetic number, because the mean of its divisors is an integer number (7818510336).

Almost surely, 2422334021340 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 422334021340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562932744192).

422334021340 is an abundant number, since it is smaller than the sum of its proper divisors (703531467044).

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

422334021340 is a wasteful number, since it uses less digits than its factorization.

422334021340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13008 (or 12999 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 422334021340 its reverse (43120433224), we get a palindrome (465454454564).

The spelling of 422334021340 in words is "four hundred twenty-two billion, three hundred thirty-four million, twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 4783 5390 8191 9566 10780 16382 19132 23915 32764 33481 40955 47830 52613 57337 66962 81910 90101 95660 105226 114674 133924 163820 167405 180202 210452 229348 234367 263065 286685 334810 360404 368291 401359 450505 468734 526130 573370 630707 669620 736582 802718 901010 937468 1052260 1146740 1171835 1261414 1473164 1605436 1802020 1841455 2006795 2343670 2522828 2578037 3153535 3682910 4013590 4414949 4687340 5156074 6307070 7365820 8027180 8829898 10312148 12614140 12890185 17659796 22074745 25780370 39177553 44149490 51560740 78355106 88298980 156710212 195887765 274242871 391775530 430953083 548485742 783551060 861906166 1096971484 1371214355 1723812332 1919700097 2154765415 2742428710 3016671581 3839400194 4309530830 5484857420 6033343162 7678800388 8619061660 9598500485 12066686324 15083357905 19197000970 21116701067 30166715810 38394001940 42233402134 60333431620 84466804268 105583505335 211167010670 422334021340