Search a number
-
+
40040431431 = 37111347367773
BaseRepresentation
bin100101010010100110…
…000111111101000111
310211100111010122222220
4211102212013331013
51124000322301211
630221101223423
72615145023460
oct452246077507
9124314118886
1040040431431
1115a87863850
127915561b73
133a1156a5a0
141d1bad3d67
151095321806
hex952987f47

40040431431 has 128 divisors (see below), whose sum is σ = 73500327936. Its totient is φ = 18716244480.

The previous prime is 40040431391. The next prime is 40040431433. The reversal of 40040431431 is 13413404004.

It is not a de Polignac number, because 40040431431 - 219 = 40039907143 is a prime.

It is a super-2 number, since 2×400404314312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40040431433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51798361 + ... + 51799133.

It is an arithmetic number, because the mean of its divisors is an integer number (574221312).

Almost surely, 240040431431 is an apocalyptic number.

40040431431 is a deficient number, since it is larger than the sum of its proper divisors (33459896505).

40040431431 is a wasteful number, since it uses less digits than its factorization.

40040431431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 40040431431 its reverse (13413404004), we get a palindrome (53453835435).

The spelling of 40040431431 in words is "forty billion, forty million, four hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 39 47 77 91 141 143 231 273 329 367 429 517 611 773 987 1001 1101 1551 1833 2319 2569 3003 3619 4037 4277 4771 5411 6721 7707 8503 10049 10857 12111 12831 14313 16233 17249 20163 25509 28259 30147 33397 36331 47047 51747 52481 59521 70343 84777 100191 108993 110539 120743 141141 157443 178563 189739 211029 224237 254317 283691 331617 362229 367367 399641 472303 569217 672711 762951 773773 851073 1102101 1198923 1328173 1416909 1569659 1985837 2321319 2466607 2797487 3120601 3306121 3687983 3984519 4708977 5195333 5957511 7399821 8392461 9361803 9918363 11063949 13333477 15585999 17266249 21844207 25815881 36367331 40000431 40567813 51798747 65532621 77447643 93334339 109101993 121703439 146668247 173335201 280003017 283974691 440004741 520005603 851924073 1026677729 1213346407 1906687211 3080033187 3640039221 5720061633 13346810477 40040431431