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420033412222140 = 223519743987807871
BaseRepresentation
bin101111110000001001010011…
…0010101000100110010111100
32001002012210122200201100222110
41133200102212111010302330
5420023311412012102030
64045200404041014020
7154321261343113503
oct13740224625046274
92032183580640873
10420033412222140
11111921195a50762
123b139357a84310
131504ac99b0b822
1475a1a2317d83a
15338607645c1b0
hex17e04a6544cbc

420033412222140 has 96 divisors (see below), whose sum is σ = 1182091908501504. Its totient is φ = 111437665355520.

The previous prime is 420033412222129. The next prime is 420033412222147. The reversal of 420033412222140 is 41222214330024.

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 = 420033412222098 and 420033412222107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420033412222147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519522405 + ... + 520330275.

It is an arithmetic number, because the mean of its divisors is an integer number (12313457380224).

Almost surely, 2420033412222140 is an apocalyptic number.

It is an amenable number.

420033412222140 is an abundant number, since it is smaller than the sum of its proper divisors (762058496279364).

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

420033412222140 is a wasteful number, since it uses less digits than its factorization.

420033412222140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852067 (or 852065 counting only the distinct ones).

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

Adding to 420033412222140 its reverse (41222214330024), we get a palindrome (461255626552164).

The spelling of 420033412222140 in words is "four hundred twenty trillion, thirty-three billion, four hundred twelve million, two hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 197 394 591 788 985 1182 1970 2364 2955 3940 5910 11820 43987 87974 131961 175948 219935 263922 439870 527844 659805 807871 879740 1319610 1615742 2423613 2639220 3231484 4039355 4847226 8078710 8665439 9694452 12118065 16157420 17330878 24236130 25996317 34661756 43327195 48472260 51992634 86654390 103985268 129981585 159150587 173308780 259963170 318301174 477451761 519926340 636602348 795752935 954903522 1591505870 1909807044 2387258805 3183011740 4774517610 9549035220 35535821677 71071643354 106607465031 142143286708 177679108385 213214930062 355358216770 426429860124 533037325155 710716433540 1066074650310 2132149300620 7000556870369 14001113740738 21001670611107 28002227481476 35002784351845 42003341222214 70005568703690 84006682444428 105008353055535 140011137407380 210016706111070 420033412222140