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4021223420032 = 27713499691841
BaseRepresentation
bin111010100001000011100…
…101111111000010000000
3112020102110222022010221221
4322201003211333002000
51011340431143420112
612315154033324424
7563344444050220
oct72410345770200
915212428263857
104021223420032
111310433873225
1254b40b706714
13232279aa7840
14dc8b1cd0080
156e90433ae07
hex3a84397f080

4021223420032 has 128 divisors (see below), whose sum is σ = 9879503760000. Its totient is φ = 1587623362560.

The previous prime is 4021223419991. The next prime is 4021223420051. The reversal of 4021223420032 is 2300243221204.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4021223419979 and 4021223420006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5466432 + ... + 6158272.

It is an arithmetic number, because the mean of its divisors is an integer number (77183623125).

Almost surely, 24021223420032 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 4021223420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939751880000).

4021223420032 is an abundant number, since it is smaller than the sum of its proper divisors (5858280339968).

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

4021223420032 is a wasteful number, since it uses less digits than its factorization.

4021223420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692374 (or 692362 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 4021223420032 its reverse (2300243221204), we get a palindrome (6321466641236).

The spelling of 4021223420032 in words is "four trillion, twenty-one billion, two hundred twenty-three million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 499 728 832 896 998 1456 1664 1996 2912 3493 3992 5824 6487 6986 7984 11648 12974 13972 15968 25948 27944 31936 45409 51896 55888 63872 90818 103792 111776 181636 207584 223552 363272 415168 447104 691841 726544 830336 1383682 1453088 2767364 2906176 4842887 5534728 5812352 8993933 9685774 11069456 17987866 19371548 22138912 35975732 38743096 44277824 62957531 71951464 77486192 88555648 125915062 143902928 154972384 251830124 287805856 309944768 345228659 503660248 575611712 619889536 690457318 1007320496 1151223424 1380914636 2014640992 2416600613 2761829272 4029281984 4487972567 4833201226 5523658544 8058563968 8975945134 9666402452 11047317088 17951890268 19332804904 22094634176 31415807969 35903780536 38665609808 44189268352 62831615938 71807561072 77331219616 125663231876 143615122144 154662439232 251326463752 287230244288 309324878464 502652927504 574460488576 1005305855008 2010611710016 4021223420032