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3142542544 = 241922973257
BaseRepresentation
bin1011101101001111…
…0110010011010000
322010000020200221121
42323103312103100
522413442330134
61235455332024
7140606112421
oct27323662320
98100220847
103142542544
1113729797a9
12738521014
133b10a1c3b
1421b50d648
15135d4dab4
hexbb4f64d0

3142542544 has 120 divisors (see below), whose sum is σ = 6764868360. Its totient is φ = 1412038656.

The previous prime is 3142542541. The next prime is 3142542589. The reversal of 3142542544 is 4452452413.

It can be written as a sum of positive squares in 4 ways, for example, as 1520064144 + 1622478400 = 38988^2 + 40280^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142542541) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12227664 + ... + 12227920.

It is an arithmetic number, because the mean of its divisors is an integer number (56373903).

Almost surely, 23142542544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142542544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382434180).

3142542544 is an abundant number, since it is smaller than the sum of its proper divisors (3622325816).

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

3142542544 is a wasteful number, since it uses less digits than its factorization.

3142542544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 380 counting only the distinct ones).

The product of its digits is 76800, while the sum is 34.

The square root of 3142542544 is about 56058.3851354996. The cubic root of 3142542544 is about 1464.7394837812.

Adding to 3142542544 its reverse (4452452413), we get a palindrome (7594994957).

The spelling of 3142542544 in words is "three billion, one hundred forty-two million, five hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 19 29 38 58 73 76 116 146 152 232 257 292 304 361 464 514 551 584 722 1028 1102 1168 1387 1444 2056 2117 2204 2774 2888 4112 4234 4408 4883 5548 5776 7453 8468 8816 9766 10469 11096 14906 16936 18761 19532 20938 22192 26353 29812 33872 37522 39064 40223 41876 52706 59624 75044 78128 80446 83752 92777 105412 119248 141607 150088 160892 167504 185554 210824 283214 300176 321784 356459 371108 421648 544069 566428 643568 712918 742216 764237 1088138 1132856 1425836 1484432 1528474 2176276 2265712 2690533 2851672 3056948 4352552 5381066 5703344 6113896 6772721 8705104 10337311 10762132 12227792 13545442 20674622 21524264 27090884 41349244 43048528 54181768 82698488 108363536 165396976 196408909 392817818 785635636 1571271272 3142542544