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422344131440 = 245711312211689
BaseRepresentation
bin1100010010101011010…
…11000000001101110000
31111101010212222212001112
412021111223000031300
523404430044201230
6522004444252452
742341036612240
oct6112553001560
91441125885045
10422344131440
1115312a285030
1269a2a241128
1330a998702aa
1416627923b20
15aebd351d95
hex6255ac0370

422344131440 has 160 divisors (see below), whose sum is σ = 1263741972480. Its totient is φ = 127393228800.

The previous prime is 422344131439. The next prime is 422344131487. The reversal of 422344131440 is 44131443224.

It is a junction number, because it is equal to n+sod(n) for n = 422344131397 and 422344131406.

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, 914885 + ... + 1296804.

It is an arithmetic number, because the mean of its divisors is an integer number (7898387328).

Almost surely, 2422344131440 is an apocalyptic number.

422344131440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422344131440 is an abundant number, since it is smaller than the sum of its proper divisors (841397841040).

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

422344131440 is a wasteful number, since it uses less digits than its factorization.

422344131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211751 (or 2211745 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 422344131440 its reverse (44131443224), we get a palindrome (466475574664).

The spelling of 422344131440 in words is "four hundred twenty-two billion, three hundred forty-four million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 31 35 40 44 55 56 62 70 77 80 88 110 112 124 140 154 155 176 217 220 248 280 308 310 341 385 434 440 496 560 616 620 682 770 868 880 1085 1232 1240 1364 1540 1705 1736 2170 2387 2480 2728 3080 3410 3472 4340 4774 5456 6160 6820 8680 9548 11935 13640 17360 19096 23870 27280 38192 47740 95480 190960 2211689 4423378 8846756 11058445 15481823 17693512 22116890 24328579 30963646 35387024 44233780 48657158 61927292 68562359 77409115 88467560 97314316 121642895 123854584 137124718 154818230 170300053 176935120 194628632 243285790 247709168 274249436 309636460 340600106 342811795 389257264 479936513 486571580 548498872 619272920 681200212 685623590 754185949 851500265 959873026 973143160 1096997744 1238545840 1362400424 1371247180 1508371898 1703000530 1919746052 1946286320 2399682565 2724800848 2742494360 3016743796 3406001060 3770929745 3839492104 4799365130 5279301643 5484988720 6033487592 6812002120 7541859490 7678984208 9598730260 10558603286 12066975184 13624004240 15083718980 19197460520 21117206572 26396508215 30167437960 38394921040 42234413144 52793016430 60334875920 84468826288 105586032860 211172065720 422344131440