Search a number
-
+
40462520010 = 235111012694513
BaseRepresentation
bin100101101011110000…
…010000111011001010
310212102220100222200020
4211223300100323022
51130331401120020
630331020121310
72631461513433
oct455360207312
9125386328606
1040462520010
1116184046190
127a12996236
133a7ab43b43
141d5bba848a
1510bc3e9c40
hex96bc10eca

40462520010 has 128 divisors (see below), whose sum is σ = 107408643840. Its totient is φ = 9673728000.

The previous prime is 40462519987. The next prime is 40462520039. The reversal of 40462520010 is 1002526404.

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 63 ways as a sum of consecutive naturals, for example, 8963514 + ... + 8968026.

It is an arithmetic number, because the mean of its divisors is an integer number (839130030).

Almost surely, 240462520010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40462520010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53704321920).

40462520010 is an abundant number, since it is smaller than the sum of its proper divisors (66946123830).

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

40462520010 is a wasteful number, since it uses less digits than its factorization.

40462520010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904.

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 40462520010 in words is "forty billion, four hundred sixty-two million, five hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 269 303 330 505 538 606 807 1010 1111 1345 1515 1614 2222 2690 2959 3030 3333 4035 4513 5555 5918 6666 8070 8877 9026 11110 13539 14795 16665 17754 22565 27078 27169 29590 33330 44385 45130 49643 54338 67695 81507 88770 99286 135390 135845 148929 163014 248215 271690 297858 298859 407535 455813 496430 597718 744645 815070 896577 911626 1213997 1367439 1489290 1494295 1793154 2279065 2427994 2734878 2988590 3641991 4482885 4558130 5013943 6069985 6837195 7283982 8965770 10027886 12139970 13353967 13674390 15041829 18209955 25069715 26707934 30083658 36419910 40061901 50139430 66769835 75209145 80123802 122613697 133539670 150418290 200309505 245227394 367841091 400619010 613068485 735682182 1226136970 1348750667 1839205455 2697501334 3678410910 4046252001 6743753335 8092504002 13487506670 20231260005 40462520010