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4102042040 = 235718916229
BaseRepresentation
bin1111010010000000…
…0011000110111000
3101120212201022210222
43310200003012320
531400110321130
61515012555212
7203436532145
oct36440030670
911525638728
104102042040
11181554a998
12965922b08
13504acb815
142acb173cc
151901cece5
hexf48031b8

4102042040 has 64 divisors (see below), whose sum is σ = 9465336000. Its totient is φ = 1599431680.

The previous prime is 4102042003. The next prime is 4102042093. The reversal of 4102042040 is 402402014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244646 + ... + 260874.

It is an arithmetic number, because the mean of its divisors is an integer number (147895875).

Almost surely, 24102042040 is an apocalyptic number.

4102042040 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 4102042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4732668000).

4102042040 is an abundant number, since it is smaller than the sum of its proper divisors (5363293960).

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

4102042040 is a wasteful number, since it uses less digits than its factorization.

4102042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16400 (or 16396 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4102042040 is about 64047.1860427919. The cubic root of 4102042040 is about 1600.7863374409.

Adding to 4102042040 its reverse (402402014), we get a palindrome (4504444054).

The spelling of 4102042040 in words is "four billion, one hundred two million, forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 71 89 142 178 284 355 356 445 568 710 712 890 1420 1780 2840 3560 6319 12638 16229 25276 31595 32458 50552 63190 64916 81145 126380 129832 162290 252760 324580 649160 1152259 1444381 2304518 2888762 4609036 5761295 5777524 7221905 9218072 11522590 11555048 14443810 23045180 28887620 46090360 57775240 102551051 205102102 410204204 512755255 820408408 1025510510 2051021020 4102042040