Search a number
-
+
41434424400 = 2435234528687
BaseRepresentation
bin100110100101101011…
…110010010001010000
310221221122011211212010
4212211223302101100
51134324203040100
631011255302520
72664532540065
oct464553622120
9127848154763
1041434424400
111663271a356
12804437aa40
133ba42c4ab5
142010cc0c6c
1511278cb750
hex9a5af2450

41434424400 has 60 divisors (see below), whose sum is σ = 132728276672. Its totient is φ = 11049179520.

The previous prime is 41434424389. The next prime is 41434424419. The reversal of 41434424400 is 442443414.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17263144 + ... + 17265543.

Almost surely, 241434424400 is an apocalyptic number.

41434424400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41434424400 is an abundant number, since it is smaller than the sum of its proper divisors (91293852272).

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

41434424400 is a wasteful number, since it uses less digits than its factorization.

41434424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34528708 (or 34528697 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 41434424400 its reverse (442443414), we get a palindrome (41876867814).

The spelling of 41434424400 in words is "forty-one billion, four hundred thirty-four million, four hundred twenty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 34528687 69057374 103586061 138114748 172643435 207172122 276229496 345286870 414344244 517930305 552458992 690573740 828688488 863217175 1035860610 1381147480 1657376976 1726434350 2071721220 2589651525 2762294960 3452868700 4143442440 5179303050 6905737400 8286884880 10358606100 13811474800 20717212200 41434424400