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40033444432 = 24176712131811
BaseRepresentation
bin100101010010001011…
…011110001001010000
310211022222222200122011
4211102023132021100
51123442030210212
630220251352304
72615031443302
oct452213361120
9124288880564
1040033444432
1115a83921373
127913152694
133a0cc92277
141d1abd5972
1510948e14a7
hex9522de250

40033444432 has 80 divisors (see below), whose sum is σ = 83467996992. Its totient is φ = 18532546560.

The previous prime is 40033444421. The next prime is 40033444433. The reversal of 40033444432 is 23444433004.

It is a junction number, because it is equal to n+sod(n) for n = 40033444394 and 40033444403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40033444433) 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, 22104807 + ... + 22106617.

Almost surely, 240033444432 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 40033444432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41733998496).

40033444432 is an abundant number, since it is smaller than the sum of its proper divisors (43434552560).

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

40033444432 is a wasteful number, since it uses less digits than its factorization.

40033444432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 31.

Adding to 40033444432 its reverse (23444433004), we get a palindrome (63477877436).

The spelling of 40033444432 in words is "forty billion, thirty-three million, four hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 67 68 134 136 268 272 536 1072 1139 1213 1811 2278 2426 3622 4556 4852 7244 9112 9704 14488 18224 19408 20621 28976 30787 41242 61574 81271 82484 121337 123148 162542 164968 242674 246296 325084 329936 485348 492592 650168 970696 1300336 1381607 1941392 2062729 2196743 2763214 4125458 4393486 5526428 8250916 8786972 11052856 16501832 17573944 22105712 33003664 35147888 37344631 74689262 147181781 149378524 294363562 298757048 588727124 597514096 1177454248 2354908496 2502090277 5004180554 10008361108 20016722216 40033444432