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200424042126300 = 2235223243591192453
BaseRepresentation
bin101101100100100011011011…
…110101011101101111011100
3222021122100111002200222200110
4231210203123311131233130
5202232221414241020200
61550133311151530020
760134105414031306
oct5544433365355734
9867570432628613
10200424042126300
11589523a4811013
121a58b632229910
1387aaba1855b55
14376c80ac6a976
1518287514eab50
hexb648dbd5dbdc

200424042126300 has 144 divisors (see below), whose sum is σ = 605131674094080. Its totient is φ = 51120512636160.

The previous prime is 200424042126181. The next prime is 200424042126307. The reversal of 200424042126300 is 3621240424002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200424042126307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167480874 + ... + 168673326.

It is an arithmetic number, because the mean of its divisors is an integer number (4202303292320).

Almost surely, 2200424042126300 is an apocalyptic number.

200424042126300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200424042126300 is an abundant number, since it is smaller than the sum of its proper divisors (404707631967780).

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

200424042126300 is a wasteful number, since it uses less digits than its factorization.

200424042126300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216852 (or 1216845 counting only the distinct ones).

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

The spelling of 200424042126300 in words is "two hundred trillion, four hundred twenty-four billion, forty-two million, one hundred twenty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 24359 48718 73077 97436 121795 146154 243590 292308 365385 487180 560257 608975 730770 1120514 1192453 1217950 1461540 1680771 1826925 2241028 2384906 2435900 2801285 3361542 3577359 3653850 4769812 5602570 5962265 6723084 7154718 7307700 8403855 11205140 11924530 14006425 14309436 16807710 17886795 23849060 27426419 28012850 29811325 33615420 35773590 42019275 54852838 56025700 59622650 71547180 82279257 84038550 89433975 109705676 119245300 137132095 164558514 168077100 178867950 274264190 329117028 357735900 411396285 548528380 685660475 822792570 1371320950 1645585140 2056981425 2742641900 4113962850 8227925700 29046962627 58093925254 87140887881 116187850508 145234813135 174281775762 290469626270 348563551524 435704439405 580939252540 668080140421 726174065675 871408878810 1336160280842 1452348131350 1742817757620 2004240421263 2178522197025 2672320561684 2904696262700 3340400702105 4008480842526 4357044394050 6680801404210 8016961685052 8714088788100 10021202106315 13361602808420 16702003510525 20042404212630 33404007021050 40084808425260 50106010531575 66808014042100 100212021063150 200424042126300