Search a number
-
+
40400808080 = 2451957146549
BaseRepresentation
bin100101101000000100…
…110110100010010000
310212021121020200211012
4211220010312202100
51130220101324310
630320533310052
72630112126323
oct455004664220
9125247220735
1040400808080
1116152226096
1279b6195328
133a6b1178c9
141d539027ba
1510b6ca9c05
hex968136890

40400808080 has 80 divisors (see below), whose sum is σ = 99050952000. Its totient is φ = 15282639360.

The previous prime is 40400808059. The next prime is 40400808103. The reversal of 40400808080 is 8080800404.

It is a tau number, because it is divible by the number of its divisors (80).

40400808080 is a modest number, since divided by 808080 gives 40400 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 844646 + ... + 891194.

It is an arithmetic number, because the mean of its divisors is an integer number (1238136900).

Almost surely, 240400808080 is an apocalyptic number.

40400808080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40400808080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49525476000).

40400808080 is an abundant number, since it is smaller than the sum of its proper divisors (58650143920).

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

40400808080 is a wasteful number, since it uses less digits than its factorization.

40400808080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47152 (or 47146 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The spelling of 40400808080 in words is "forty billion, four hundred million, eight hundred eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 571 760 1142 1520 2284 2855 4568 5710 9136 10849 11420 21698 22840 43396 45680 46549 54245 86792 93098 108490 173584 186196 216980 232745 372392 433960 465490 744784 867920 884431 930980 1768862 1861960 3537724 3723920 4422155 7075448 8844310 14150896 17688620 26579479 35377240 53158958 70754480 106317916 132897395 212635832 265794790 425271664 505010101 531589580 1010020202 1063179160 2020040404 2126358320 2525050505 4040080808 5050101010 8080161616 10100202020 20200404040 40400808080