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40499715168 = 25321117971419
BaseRepresentation
bin100101101101111110…
…001001110001100000
310212112111100200211200
4211231332021301200
51130420411341133
630334425241200
72632422620223
oct455576116140
9125474320750
1040499715168
11161a3040490
127a23333200
133a85767b03
141d62acb5ba
1510c07e5913
hex96df89c60

40499715168 has 144 divisors (see below), whose sum is σ = 126344836800. Its totient is φ = 12203907840.

The previous prime is 40499715103. The next prime is 40499715169. The reversal of 40499715168 is 86151799404.

40499715168 is a `hidden beast` number, since 40 + 499 + 7 + 1 + 51 + 68 = 666.

40499715168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40499715169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531363 + ... + 602781.

It is an arithmetic number, because the mean of its divisors is an integer number (877394700).

Almost surely, 240499715168 is an apocalyptic number.

40499715168 is a gapful number since it is divisible by the number (48) 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 40499715168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63172418400).

40499715168 is an abundant number, since it is smaller than the sum of its proper divisors (85845121632).

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

40499715168 is a wasteful number, since it uses less digits than its factorization.

40499715168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71625 (or 71614 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 40499715168 in words is "forty billion, four hundred ninety-nine million, seven hundred fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 179 198 264 288 352 358 396 528 537 716 792 1056 1074 1432 1584 1611 1969 2148 2864 3168 3222 3938 4296 5728 5907 6444 7876 8592 11814 12888 15752 17184 17721 23628 25776 31504 35442 47256 51552 63008 70884 71419 94512 141768 142838 189024 214257 283536 285676 428514 567072 571352 642771 785609 857028 1142704 1285542 1571218 1714056 2285408 2356827 2571084 3142436 3428112 4713654 5142168 6284872 6856224 7070481 9427308 10284336 12569744 12784001 14140962 18854616 20568672 25139488 25568002 28281924 37709232 38352003 51136004 56563848 75418464 76704006 102272008 113127696 115056009 140624011 153408012 204544016 226255392 230112018 281248022 306816024 409088032 421872033 460224036 562496044 613632048 843744066 920448072 1124992088 1227264096 1265616099 1687488132 1840896144 2249984176 2531232198 3374976264 3681792288 4499968352 5062464396 6749952528 10124928792 13499905056 20249857584 40499715168