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44130420400 = 24521130113331
BaseRepresentation
bin101001000110011000…
…001100011010110000
311012220112011122002211
4221012120030122300
51210334341423100
632135004021504
73121410245533
oct510630143260
9135815148084
1044130420400
1117796521020
128677231894
134213a08bc1
1421c8d90a1a
1512344201ba
hexa4660c6b0

44130420400 has 120 divisors (see below), whose sum is σ = 115734967488. Its totient is φ = 16037280000.

The previous prime is 44130420379. The next prime is 44130420403. The reversal of 44130420400 is 402403144.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (44130420403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13246735 + ... + 13250065.

Almost surely, 244130420400 is an apocalyptic number.

44130420400 is a gapful number since it is divisible by the number (40) 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 44130420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57867483744).

44130420400 is an abundant number, since it is smaller than the sum of its proper divisors (71604547088).

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

44130420400 is a wasteful number, since it uses less digits than its factorization.

44130420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6371 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 44130420400 its reverse (402403144), we get a palindrome (44532823544).

The spelling of 44130420400 in words is "forty-four billion, one hundred thirty million, four hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 3011 3331 4400 6022 6662 12044 13324 15055 16655 24088 26648 30110 33121 33310 36641 48176 53296 60220 66242 66620 73282 75275 83275 120440 132484 133240 146564 150550 165605 166550 183205 240880 264968 266480 293128 301100 331210 333100 366410 529936 586256 602200 662420 666200 732820 828025 916025 1204400 1324840 1332400 1465640 1656050 1832050 2649680 2931280 3312100 3664100 6624200 7328200 10029641 13248400 14656400 20059282 40118564 50148205 80237128 100296410 110326051 160474256 200592820 220652102 250741025 401185640 441304204 501482050 551630255 802371280 882608408 1002964100 1103260510 1765216816 2005928200 2206521020 2758151275 4011856400 4413042040 5516302550 8826084080 11032605100 22065210200 44130420400