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42289881138 = 23410721512
BaseRepresentation
bin100111011000101011…
…000110000000110010
311001011020212112220000
4213120223012000302
51143102202144023
631232214530430
73024661026051
oct473053060062
9131136775800
1042289881138
1116a3159869a
128242966a16
133cac5c3a0b
142092764398
151177a5a243
hex9d8ac6032

42289881138 has 90 divisors (see below), whose sum is σ = 96292219023. Its totient is φ = 13872400200.

The previous prime is 42289881133. The next prime is 42289881143. The reversal of 42289881138 is 83118898224.

42289881138 is a `hidden beast` number, since 422 + 8 + 9 + 8 + 81 + 138 = 666.

It is an interprime number because it is at equal distance from previous prime (42289881133) and next prime (42289881143).

It can be written as a sum of positive squares in only one way, i.e., 21144940569 + 21144940569 = 145413^2 + 145413^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=145413.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42289881133) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 280065363 + ... + 280065513.

Almost surely, 242289881138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42289881138

42289881138 is an abundant number, since it is smaller than the sum of its proper divisors (54002337885).

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

42289881138 is an equidigital number, since it uses as much as digits as its factorization.

42289881138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 263 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The spelling of 42289881138 in words is "forty-two billion, two hundred eighty-nine million, eight hundred eighty-one thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 107 151 162 214 302 321 453 642 906 963 1359 1926 2718 2889 4077 5778 8154 8667 11449 12231 16157 17334 22801 22898 24462 32314 34347 45602 48471 68403 68694 96942 103041 136806 145413 205209 206082 290826 309123 410418 436239 615627 618246 872478 927369 1231254 1308717 1728799 1846881 1854738 2439707 2617434 3457598 3693762 4879414 5186397 7319121 10372794 14638242 15559191 21957363 31118382 43914726 46677573 65872089 93355146 131744178 140032719 197616267 261048649 280065438 395232534 522097298 783145947 1566291894 2349437841 4698875682 7048313523 14096627046 21144940569 42289881138