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42144010242 = 231717919711717
BaseRepresentation
bin100111001111111110…
…101001000000000010
311000210002101112122020
4213033332221000002
51142302331311432
631205524222310
73021240114345
oct471776510002
9130702345566
1042144010242
1116967216734
128201b3a996
133c8830c389
14207b23245c
151169d4422c
hex9cffa9002

42144010242 has 64 divisors (see below), whose sum is σ = 90207976320. Its totient is φ = 13079929856.

The previous prime is 42144010217. The next prime is 42144010253. The reversal of 42144010242 is 24201044124.

It is a super-2 number, since 2×421440102422 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3590968 + ... + 3602684.

It is an arithmetic number, because the mean of its divisors is an integer number (1409499630).

Almost surely, 242144010242 is an apocalyptic number.

42144010242 is an abundant number, since it is smaller than the sum of its proper divisors (48063966078).

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

42144010242 is a wasteful number, since it uses less digits than its factorization.

42144010242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12115.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 42144010242 its reverse (24201044124), we get a palindrome (66345054366).

The spelling of 42144010242 in words is "forty-two billion, one hundred forty-four million, ten thousand, two hundred forty-two".

Divisors: 1 2 3 6 17 34 51 102 179 197 358 394 537 591 1074 1182 3043 3349 6086 6698 9129 10047 11717 18258 20094 23434 35151 35263 70302 70526 105789 199189 211578 398378 597567 599471 1195134 1198942 1798413 2097343 2308249 3596826 4194686 4616498 6292029 6924747 12584058 13849494 35654831 39240233 71309662 78480466 106964493 117720699 213928986 235441398 413176571 826353142 1239529713 2479059426 7024001707 14048003414 21072005121 42144010242