Search a number
-
+
40334655424 = 2671011277019
BaseRepresentation
bin100101100100001000…
…011111111111000000
310212002222202210102211
4211210020133333000
51130101132433144
630310211351504
72625346625410
oct454410377700
9125088683384
1040334655424
1116118952678
127997bb2594
133a5a4c531b
141d48c02640
1510b108e034
hex96421ffc0

40334655424 has 112 divisors (see below), whose sum is σ = 93119569920. Its totient is φ = 16977945600.

The previous prime is 40334655407. The next prime is 40334655463. The reversal of 40334655424 is 42455643304.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 5742987 + ... + 5750005.

Almost surely, 240334655424 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 40334655424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46559784960).

40334655424 is an abundant number, since it is smaller than the sum of its proper divisors (52784914496).

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

40334655424 is a wasteful number, since it uses less digits than its factorization.

40334655424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7266 (or 7256 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

The spelling of 40334655424 in words is "forty billion, three hundred thirty-four million, six hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 127 202 224 254 404 448 508 707 808 889 1016 1414 1616 1778 2032 2828 3232 3556 4064 5656 6464 7019 7112 8128 11312 12827 14038 14224 22624 25654 28076 28448 45248 49133 51308 56152 56896 89789 98266 102616 112304 179578 196532 205232 224608 359156 393064 410464 449216 708919 718312 786128 820928 891413 1417838 1436624 1572256 1782826 2835676 2873248 3144512 3565652 4962433 5671352 5746496 6239891 7131304 9924866 11342704 12479782 14262608 19849732 22685408 24959564 28525216 39699464 45370816 49919128 57050432 79398928 90032713 99838256 158797856 180065426 199676512 317595712 360130852 399353024 630228991 720261704 1260457982 1440523408 2520915964 2881046816 5041831928 5762093632 10083663856 20167327712 40334655424