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4022002024432 = 247341103173543
BaseRepresentation
bin111010100001110010000…
…000000111111111110000
3112020111111020101100101221
4322201302000013333300
51011344030004240212
612315403205434424
7563402650063000
oct72416200077760
915214436340357
104022002024432
1113107a3320237
1254b5a840ba14
132323721a8cc2
14dc94748a000
156e94c888807
hex3a872007ff0

4022002024432 has 160 divisors (see below), whose sum is σ = 9399698380800. Its totient is φ = 1665336798720.

The previous prime is 4022002024423. The next prime is 4022002024471. The reversal of 4022002024432 is 2344202002204.

It is a junction number, because it is equal to n+sod(n) for n = 4022002024397 and 4022002024406.

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, 23089053 + ... + 23262595.

It is an arithmetic number, because the mean of its divisors is an integer number (58748114880).

Almost surely, 24022002024432 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 4022002024432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4699849190400).

4022002024432 is an abundant number, since it is smaller than the sum of its proper divisors (5377696356368).

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

4022002024432 is a wasteful number, since it uses less digits than its factorization.

4022002024432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173716 (or 173696 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 4022002024432 its reverse (2344202002204), we get a palindrome (6366204026636).

The spelling of 4022002024432 in words is "four trillion, twenty-two billion, two million, twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 103 112 164 196 206 287 328 343 392 412 574 656 686 721 784 824 1148 1372 1442 1648 2009 2296 2744 2884 4018 4223 4592 5047 5488 5768 8036 8446 10094 11536 14063 16072 16892 20188 28126 29561 32144 33784 35329 40376 56252 59122 67568 70658 80752 112504 118244 141316 173543 206927 225008 236488 282632 347086 413854 472976 565264 694172 827708 1214801 1388344 1448489 1655416 2429602 2776688 2896978 3310832 4859204 5793956 7115263 8503607 9718408 11587912 14230526 17007214 17874929 19436816 23175824 28461052 34014428 35749858 49806841 56922104 59525249 68028856 71499716 99613682 113844208 119050498 125124503 136057712 142999432 199227364 238100996 250249006 285998864 348647887 398454728 476201992 500498012 697295774 732872089 796909456 875871521 952403984 1000996024 1394591548 1465744178 1751743042 2001992048 2440535209 2789183096 2931488356 3503486084 4881070418 5130104623 5578366192 5862976712 6131100647 7006972168 9762140836 10260209246 11725953424 12262201294 14013944336 19524281672 20520418492 24524402588 35910732361 39048563344 41040836984 49048805176 71821464722 82081673968 98097610352 143642929444 251375126527 287285858888 502750253054 574571717776 1005500506108 2011001012216 4022002024432