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40544444416 = 21372712609
BaseRepresentation
bin100101110000101000…
…110010000000000000
310212122121112011211111
4211300220302000000
51131013334210131
630343104053104
72633505043210
oct456050620000
9125577464744
1040544444416
1116216311203
127a36304194
133a91ac9118
141d68a12240
1510c46cdab1
hex970a32000

40544444416 has 112 divisors (see below), whose sum is σ = 93044954880. Its totient is φ = 17305436160.

The previous prime is 40544444383. The next prime is 40544444417. The reversal of 40544444416 is 61444444504.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×405444444162 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40544444417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15538920 + ... + 15541528.

Almost surely, 240544444416 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 40544444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46522477440).

40544444416 is an abundant number, since it is smaller than the sum of its proper divisors (52500510464).

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

40544444416 is an equidigital number, since it uses as much as digits as its factorization.

40544444416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 40.

The spelling of 40544444416 in words is "forty billion, five hundred forty-four million, four hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 271 448 512 542 896 1024 1084 1792 1897 2048 2168 2609 3584 3794 4096 4336 5218 7168 7588 8192 8672 10436 14336 15176 17344 18263 20872 28672 30352 34688 36526 41744 57344 60704 69376 73052 83488 121408 138752 146104 166976 242816 277504 292208 333952 485632 555008 584416 667904 707039 971264 1110016 1168832 1335808 1414078 1942528 2220032 2337664 2671616 2828156 3885056 4675328 4949273 5343232 5656312 7770112 9350656 9898546 10686464 11312624 15540224 18701312 19797092 21372928 22625248 37402624 39594184 45250496 74805248 79188368 90500992 149610496 158376736 181001984 316753472 362003968 633506944 724007936 1267013888 1448015872 2534027776 2896031744 5068055552 5792063488 10136111104 20272222208 40544444416