Search a number
-
+
42151044404 = 22724737912073
BaseRepresentation
bin100111010000011001…
…011110010100110100
311000210120121220200202
4213100121132110310
51142311131410104
631210335100032
73021353652200
oct472031362464
9130716556622
1042151044404
1116970190597
128204371618
133c89902cc1
14207c143b00
15116a78351e
hex9d065e534

42151044404 has 72 divisors (see below), whose sum is σ = 87871674240. Its totient is φ = 17632266624.

The previous prime is 42151044389. The next prime is 42151044473. The reversal of 42151044404 is 40444015124.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3485312 + ... + 3497384.

It is an arithmetic number, because the mean of its divisors is an integer number (1220439920).

Almost surely, 242151044404 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 42151044404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43935837120).

42151044404 is an abundant number, since it is smaller than the sum of its proper divisors (45720629836).

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

42151044404 is a wasteful number, since it uses less digits than its factorization.

42151044404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12517 (or 12508 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 42151044404 its reverse (40444015124), we get a palindrome (82595059528).

The spelling of 42151044404 in words is "forty-two billion, one hundred fifty-one million, forty-four thousand, four hundred four".

Divisors: 1 2 4 7 14 28 47 49 94 98 188 196 329 379 658 758 1316 1516 2303 2653 4606 5306 9212 10612 12073 17813 18571 24146 35626 37142 48292 71252 74284 84511 124691 169022 249382 338044 498764 567431 591577 872837 1134862 1183154 1745674 2269724 2366308 3491348 3972017 4575667 7944034 9151334 15888068 18302668 27804119 32029669 55608238 64059338 111216476 128118676 215056349 224207683 430112698 448415366 860225396 896830732 1505394443 3010788886 6021577772 10537761101 21075522202 42151044404