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20402144321000 = 2353135632787559
BaseRepresentation
bin1001010001110001111101…
…00100001001110111101000
32200020102111111221200001212
410220320332210021313220
510133232042421233000
6111220340554332252
74204002104242421
oct450707644116750
980212444850055
1020402144321000
11655655664a552
1223560a4a2a088
13b4cbb5c5a470
1450767d126648
15255a8eb4dc35
hex128e3e909de8

20402144321000 has 128 divisors (see below), whose sum is σ = 51504742598400. Its totient is φ = 7519716460800.

The previous prime is 20402144320981. The next prime is 20402144321029. The reversal of 20402144321000 is 12344120402.

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, 5925221 + ... + 8712779.

It is an arithmetic number, because the mean of its divisors is an integer number (402380801550).

Almost surely, 220402144321000 is an apocalyptic number.

20402144321000 is a gapful number since it is divisible by the number (20) 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 20402144321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25752371299200).

20402144321000 is an abundant number, since it is smaller than the sum of its proper divisors (31102598277400).

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

20402144321000 is a wasteful number, since it uses less digits than its factorization.

20402144321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788156 (or 2788142 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 20402144321000 its reverse (12344120402), we get a palindrome (20414488441402).

The spelling of 20402144321000 in words is "twenty trillion, four hundred two billion, one hundred forty-four million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 563 650 1000 1126 1300 1625 2252 2600 2815 3250 4504 5630 6500 7319 11260 13000 14075 14638 22520 28150 29276 36595 56300 58552 70375 73190 112600 140750 146380 182975 281500 292760 365950 563000 731900 914875 1463800 1829750 2787559 3659500 5575118 7319000 11150236 13937795 22300472 27875590 36238267 55751180 69688975 72476534 111502360 139377950 144953068 181191335 278755900 289906136 348444875 362382670 557511800 696889750 724765340 905956675 1393779500 1449530680 1569395717 1811913350 2787559000 3138791434 3623826700 4529783375 6277582868 7247653400 7846978585 9059566750 12555165736 15693957170 18119133500 20402144321 31387914340 36238267000 39234892925 40804288642 62775828680 78469785850 81608577284 102010721605 156939571700 163217154568 196174464625 204021443210 313879143400 392348929250 408042886420 510053608025 784697858500 816085772840 1020107216050 1569395717000 2040214432100 2550268040125 4080428864200 5100536080250 10201072160500 20402144321000