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41022013344 = 25313206915887
BaseRepresentation
bin100110001101000110…
…100011111110100000
310220212220011012020120
4212031012203332200
51133003113411334
630502324040240
72651364234354
oct461506437640
9126786135216
1041022013344
1116440947874
127b4a233080
133b39a293a0
141db2209464
1511015b5949
hex98d1a3fa0

41022013344 has 96 divisors (see below), whose sum is σ = 116029428480. Its totient is φ = 12615263232.

The previous prime is 41022013339. The next prime is 41022013363. The reversal of 41022013344 is 44331022014.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2574169 + ... + 2590055.

It is an arithmetic number, because the mean of its divisors is an integer number (1208639880).

Almost surely, 241022013344 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 41022013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58014714240).

41022013344 is an abundant number, since it is smaller than the sum of its proper divisors (75007415136).

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

41022013344 is a wasteful number, since it uses less digits than its factorization.

41022013344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17982 (or 17974 counting only the distinct ones).

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

Adding to 41022013344 its reverse (44331022014), we get a palindrome (85353035358).

It can be divided in two parts, 4102201 and 3344, that added together give a triangular number (4105545 = T2865).

The spelling of 41022013344 in words is "forty-one billion, twenty-two million, thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2069 4138 6207 8276 12414 15887 16552 24828 26897 31774 33104 47661 49656 53794 63548 66208 80691 95322 99312 107588 127096 161382 190644 198624 206531 215176 254192 322764 381288 413062 430352 508384 619593 645528 762576 826124 860704 1239186 1291056 1525152 1652248 2478372 2582112 3304496 4956744 6608992 9913488 19826976 32870203 65740406 98610609 131480812 197221218 262961624 394442436 427312639 525923248 788884872 854625278 1051846496 1281937917 1577769744 1709250556 2563875834 3155539488 3418501112 5127751668 6837002224 10255503336 13674004448 20511006672 41022013344