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4432041420140 = 2254721093372731
BaseRepresentation
bin100000001111110101001…
…0000010010010101101100
3120200200212120211212021102
41000133222100102111230
51040103310100421030
613232015101022232
7635130055326155
oct100375220222554
916620776755242
104432041420140
111459688925184
125b6b61854978
13261c2a719279
14114724b0892c
157a44a822c45
hex407ea41256c

4432041420140 has 144 divisors (see below), whose sum is σ = 9628772593440. Its totient is φ = 1713449687040.

The previous prime is 4432041420137. The next prime is 4432041420151. The reversal of 4432041420140 is 410241402344.

It is a super-2 number, since 2×44320414201402 (a number of 26 digits) contains 22 as substring.

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, 1622862575 + ... + 1622865305.

Almost surely, 24432041420140 is an apocalyptic number.

It is an amenable number.

4432041420140 is an abundant number, since it is smaller than the sum of its proper divisors (5196731173300).

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

4432041420140 is a wasteful number, since it uses less digits than its factorization.

4432041420140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 4432041420140 its reverse (410241402344), we get a palindrome (4842282822484).

The spelling of 4432041420140 in words is "four trillion, four hundred thirty-two billion, forty-one million, four hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 47 94 109 188 218 235 337 436 470 545 674 940 1090 1348 1685 2180 2209 2731 3370 4418 5123 5462 6740 8836 10246 10924 11045 13655 15839 20492 22090 25615 27310 31678 36733 44180 51230 54620 63356 73466 79195 102460 128357 146932 158390 183665 240781 256714 297679 316780 367330 481562 513428 595358 641785 734660 744433 920347 963124 1190716 1203905 1283570 1488395 1488866 1726451 1840694 2407810 2567140 2976790 2977732 3452902 3681388 3722165 4601735 4815620 5953580 6032779 6905804 7444330 8632255 9203470 12065558 13990913 14888660 17264510 18406940 24131116 27981826 30163895 34529020 43256309 55963652 60327790 69954565 81143197 86512618 100317823 120655580 139909130 162286394 173025236 200635646 216281545 279818260 324572788 401271292 405715985 432563090 501589115 657572911 811431970 865126180 1003178230 1315145822 1622863940 2006356460 2033046523 2630291644 3287864555 4066093046 4714937681 6575729110 8132186092 9429875362 10165232615 13151458220 18859750724 20330465230 23574688405 40660930460 47149376810 94298753620 221602071007 443204142014 886408284028 1108010355035 2216020710070 4432041420140