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4022000013420 = 2233553759138547
BaseRepresentation
bin111010100001110001111…
…000011101000001101100
3112020111111002121011211000
4322201301320131001230
51011344024000412140
612315403054400300
7563402624015664
oct72416170350154
915214432534730
104022000013420
1113107a2177344
1254b5a7800090
1323237195385c
14dc9470c51a4
156e94c5dca30
hex3a871e1d06c

4022000013420 has 96 divisors (see below), whose sum is σ = 12513212006400. Its totient is φ = 1072505644992.

The previous prime is 4022000013401. The next prime is 4022000013433. The reversal of 4022000013420 is 243100002204.

4022000013420 is a `hidden beast` number, since 40 + 2 + 200 + 0 + 0 + 1 + 3 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4022000013393 and 4022000013402.

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, 28960587 + ... + 29099133.

It is an arithmetic number, because the mean of its divisors is an integer number (130345958400).

Almost surely, 24022000013420 is an apocalyptic number.

It is an amenable number.

4022000013420 is an abundant number, since it is smaller than the sum of its proper divisors (8491211992980).

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

4022000013420 is a wasteful number, since it uses less digits than its factorization.

4022000013420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192324 (or 192316 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 4022000013420 its reverse (243100002204), we get a palindrome (4265100015624).

The spelling of 4022000013420 in words is "four trillion, twenty-two billion, thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 53759 107518 138547 161277 215036 268795 277094 322554 415641 483831 537590 554188 645108 692735 806385 831282 967662 1075180 1246923 1385470 1451493 1612770 1662564 1935324 2078205 2419155 2493846 2770940 2902986 3225540 3740769 4156410 4838310 4987692 5805972 6234615 7257465 7481538 8312820 9676620 12469230 14514930 14963076 18703845 24938460 29029860 37407690 74815380 7448148173 14896296346 22344444519 29792592692 37240740865 44688889038 67033333557 74481481730 89377778076 111722222595 134066667114 148962963460 201100000671 223444445190 268133334228 335166667785 402200001342 446888890380 670333335570 804400002684 1005500003355 1340666671140 2011000006710 4022000013420