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1020420404140 = 2251941157417169
BaseRepresentation
bin11101101100101011100…
…10111011001110101100
310121112212212000102210111
432312111302323032230
5113204310110413030
62100435154345404
7133502653215664
oct16662562731654
93545785012714
101020420404140
11363837796855
1214592088b264
13752c0aaa107
14375624c51a4
151b82437662a
hexed95cbb3ac

1020420404140 has 96 divisors (see below), whose sum is σ = 2325405700800. Its totient is φ = 374850478080.

The previous prime is 1020420404131. The next prime is 1020420404189. The reversal of 1020420404140 is 414040240201.

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, 2237476 + ... + 2654644.

It is an arithmetic number, because the mean of its divisors is an integer number (24222976050).

Almost surely, 21020420404140 is an apocalyptic number.

1020420404140 is a gapful number since it is divisible by the number (10) 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 1020420404140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162702850400).

1020420404140 is an abundant number, since it is smaller than the sum of its proper divisors (1304985296660).

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

1020420404140 is a wasteful number, since it uses less digits than its factorization.

1020420404140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417395 (or 417393 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 1020420404140 its reverse (414040240201), we get a palindrome (1434460644341).

The spelling of 1020420404140 in words is "one trillion, twenty billion, four hundred twenty million, four hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 157 164 190 205 314 380 410 628 779 785 820 1558 1570 2983 3116 3140 3895 5966 6437 7790 11932 12874 14915 15580 25748 29830 32185 59660 64370 122303 128740 244606 417169 489212 611515 834338 1223030 1668676 2085845 2446060 4171690 7926211 8343380 15852422 17103929 31704844 34207858 39631055 65495533 68415716 79262110 85519645 130991066 158524220 171039290 261982132 324974651 327477665 342078580 649949302 654955330 1244415127 1299898604 1309910660 1624873255 2488830254 2685316853 3249746510 4977660508 5370633706 6222075635 6499493020 10741267412 12444151270 13426584265 24888302540 26853168530 51021020207 53706337060 102042040414 204084080828 255105101035 510210202070 1020420404140