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4020602424200 = 2352591847184477
BaseRepresentation
bin111010100000011110100…
…101000100101110001000
3112020100212200210021211022
4322200132211010232020
51011333143210033300
612315012251252012
7563323163503565
oct72403645045610
915210780707738
104020602424200
11131014528492a
1254b27774a008
132321ab23a49b
14dc85363d86c
156e8b9a72285
hex3a81e944b88

4020602424200 has 96 divisors (see below), whose sum is σ = 9511538097600. Its totient is φ = 1580118109440.

The previous prime is 4020602424199. The next prime is 4020602424277. The reversal of 4020602424200 is 24242060204.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4020602424200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21702362 + ... + 21886838.

It is an arithmetic number, because the mean of its divisors is an integer number (99078521850).

Almost surely, 24020602424200 is an apocalyptic number.

4020602424200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020602424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755769048800).

4020602424200 is an abundant number, since it is smaller than the sum of its proper divisors (5490935673400).

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

4020602424200 is a wasteful number, since it uses less digits than its factorization.

4020602424200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186399 (or 186390 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 4020602424200 its reverse (24242060204), we get a palindrome (4044844484404).

The spelling of 4020602424200 in words is "four trillion, twenty billion, six hundred two million, four hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 236 295 472 590 1180 1475 1847 2360 2950 3694 5900 7388 9235 11800 14776 18470 36940 46175 73880 92350 108973 184477 184700 217946 368954 369400 435892 544865 737908 871784 922385 1089730 1475816 1844770 2179460 2724325 3689540 4358920 4611925 5448650 7379080 9223850 10884143 10897300 18447700 21768286 21794600 36895400 43536572 54420715 87073144 108841430 217682860 272103575 340729019 435365720 544207150 681458038 1088414300 1362916076 1703645095 2176828600 2725832152 3407290190 6814580380 8518225475 13629160760 17036450950 20103012121 34072901900 40206024242 68145803800 80412048484 100515060605 160824096968 201030121210 402060242420 502575303025 804120484840 1005150606050 2010301212100 4020602424200