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40706353952 = 25113119119531
BaseRepresentation
bin100101111010010010…
…011010101100100000
310220001220012000221222
4211322102122230200
51131331311311302
630411130234212
72640512204525
oct457222325440
9126056160858
1040706353952
1116299748240
127a80585968
133ab9507a94
141d8231b14c
1510d3a11da2
hex97a49ab20

40706353952 has 96 divisors (see below), whose sum is σ = 90723483648. Its totient is φ = 17811360000.

The previous prime is 40706353949. The next prime is 40706353957. The reversal of 40706353952 is 25935360704.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (40706353957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2074427 + ... + 2093957.

It is an arithmetic number, because the mean of its divisors is an integer number (945036288).

Almost surely, 240706353952 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 40706353952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45361741824).

40706353952 is an abundant number, since it is smaller than the sum of its proper divisors (50017129696).

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

40706353952 is a wasteful number, since it uses less digits than its factorization.

40706353952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19774 (or 19766 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 44.

The spelling of 40706353952 in words is "forty billion, seven hundred six million, three hundred fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 191 248 341 352 382 496 682 764 992 1364 1528 2101 2728 3056 4202 5456 5921 6112 8404 10912 11842 16808 19531 23684 33616 39062 47368 65131 67232 78124 94736 130262 156248 189472 214841 260524 312496 429682 521048 605461 624992 859364 1042096 1210922 1718728 2084192 2421844 3437456 3730421 4843688 6660071 6874912 7460842 9687376 13320142 14921684 19374752 26640284 29843368 41034631 53280568 59686736 82069262 106561136 115643051 119373472 164138524 213122272 231286102 328277048 462572204 656554096 925144408 1272073561 1313108192 1850288816 2544147122 3700577632 5088294244 10176588488 20353176976 40706353952