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40044220032 = 2731914873691
BaseRepresentation
bin100101010010110100…
…100100111010000000
310211100202021010222110
4211102310210322000
51124002310020112
630221314335320
72615222153115
oct452264447200
9124322233873
1040044220032
1115a89a11223
12791688a540
133a12295b6b
141d1c3dc90c
15109581e13c
hex952d24e80

40044220032 has 128 divisors (see below), whose sum is σ = 112071398400. Its totient is φ = 12633615360.

The previous prime is 40044220009. The next prime is 40044220037. The reversal of 40044220032 is 23002244004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 40044219990 and 40044220008.

It is not an unprimeable number, because it can be changed into a prime (40044220037) 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, 10847307 + ... + 10850997.

It is an arithmetic number, because the mean of its divisors is an integer number (875557800).

Almost surely, 240044220032 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 40044220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56035699200).

40044220032 is an abundant number, since it is smaller than the sum of its proper divisors (72027178368).

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

40044220032 is a wasteful number, since it uses less digits than its factorization.

40044220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5214 (or 5202 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 40044220032 its reverse (23002244004), we get a palindrome (63046464036).

The spelling of 40044220032 in words is "forty billion, forty-four million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1487 1824 2432 2974 3648 3691 4461 5948 7296 7382 8922 11073 11896 14764 17844 22146 23792 28253 29528 35688 44292 47584 56506 59056 70129 71376 84759 88584 95168 113012 118112 140258 142752 169518 177168 190336 210387 226024 236224 280516 285504 339036 354336 420774 452048 472448 561032 571008 678072 708672 841548 904096 1122064 1356144 1417344 1683096 1808192 2244128 2712288 3366192 3616384 4488256 5424576 5488517 6732384 8976512 10849152 10977034 13464768 16465551 21954068 26929536 32931102 43908136 65862204 87816272 104281823 131724408 175632544 208563646 263448816 312845469 351265088 417127292 526897632 625690938 702530176 834254584 1053795264 1251381876 1668509168 2107590528 2502763752 3337018336 5005527504 6674036672 10011055008 13348073344 20022110016 40044220032