Search a number
-
+
1432014223440 = 243537172193703
BaseRepresentation
bin10100110101101010101…
…100101111100001010000
312001220021112101211222010
4110311222230233201100
5141430231120122230
63013505214342520
7205313435030313
oct24655254574120
95056245354863
101432014223440
1150234a773199
121b164a7baa40
13a5066386358
144d44a37297a
15273b3a0a9b0
hex14d6ab2f850

1432014223440 has 160 divisors (see below), whose sum is σ = 4561921518336. Its totient is φ = 371329781760.

The previous prime is 1432014223433. The next prime is 1432014223489. The reversal of 1432014223440 is 443224102341.

It is a super-2 number, since 2×14320142234402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1432014223398 and 1432014223407.

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, 15235629 + ... + 15329331.

Almost surely, 21432014223440 is an apocalyptic number.

1432014223440 is a gapful number since it is divisible by the number (10) 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 1432014223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280960759168).

1432014223440 is an abundant number, since it is smaller than the sum of its proper divisors (3129907294896).

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

1432014223440 is a wasteful number, since it uses less digits than its factorization.

1432014223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95477 (or 95471 counting only the distinct ones).

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

Adding to 1432014223440 its reverse (443224102341), we get a palindrome (1875238325781).

The spelling of 1432014223440 in words is "one trillion, four hundred thirty-two billion, fourteen million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1721 1776 2220 2960 3442 4440 5163 6884 8605 8880 10326 13768 17210 20652 25815 27536 34420 41304 51630 63677 68840 82608 93703 103260 127354 137680 187406 191031 206520 254708 281109 318385 374812 382062 413040 468515 509416 562218 636770 749624 764124 937030 955155 1018832 1124436 1273540 1405545 1499248 1528248 1874060 1910310 2248872 2547080 2811090 3056496 3467011 3748120 3820620 4497744 5094160 5622180 6934022 7496240 7641240 10401033 11244360 13868044 15282480 17335055 20802066 22488720 27736088 34670110 41604132 52005165 55472176 69340220 83208264 104010330 138680440 161262863 166416528 208020660 277360880 322525726 416041320 483788589 645051452 806314315 832082640 967577178 1290102904 1612628630 1935154356 2418942945 2580205808 3225257260 3870308712 4837885890 5966725931 6450514520 7740617424 9675771780 11933451862 12901029040 17900177793 19351543560 23866903724 29833629655 35800355586 38703087120 47733807448 59667259310 71600711172 89500888965 95467614896 119334518620 143201422344 179001777930 238669037240 286402844688 358003555860 477338074480 716007111720 1432014223440