Search a number
-
+
41023758864 = 24311271286703
BaseRepresentation
bin100110001101001101…
…001110001000010000
310220220000102212122110
4212031031032020100
51133004040240424
630502425305320
72651415124344
oct461515161020
9126800385573
1041023758864
111644192a250
127b4a935240
133b3a1baa3a
141db2541624
15110180cc29
hex98d34e210

41023758864 has 80 divisors (see below), whose sum is σ = 116039430144. Its totient is φ = 12385526400.

The previous prime is 41023758859. The next prime is 41023758869. The reversal of 41023758864 is 46885732014.

It is an interprime number because it is at equal distance from previous prime (41023758859) and next prime (41023758869).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (41023758869) 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, 264 + ... + 286439.

Almost surely, 241023758864 is an apocalyptic number.

41023758864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41023758864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58019715072).

41023758864 is an abundant number, since it is smaller than the sum of its proper divisors (75015671280).

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

41023758864 is a wasteful number, since it uses less digits than its factorization.

41023758864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286996 (or 286990 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 41023758864 in words is "forty-one billion, twenty-three million, seven hundred fifty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 271 528 542 813 1084 1626 2168 2981 3252 4336 5962 6504 8943 11924 13008 17886 23848 35772 47696 71544 143088 286703 573406 860109 1146812 1720218 2293624 3153733 3440436 4587248 6307466 6880872 9461199 12614932 13761744 18922398 25229864 37844796 50459728 75689592 77696513 151379184 155393026 233089539 310786052 466179078 621572104 854661643 932358156 1243144208 1709323286 1864716312 2563984929 3418646572 3729432624 5127969858 6837293144 10255939716 13674586288 20511879432 41023758864