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41242004320 = 25511293172549
BaseRepresentation
bin100110011010001101…
…110000101101100000
310221110020002220010111
4212122031300231200
51133430423114240
630540223141104
72660005152436
oct463215605540
9127406086114
1041242004320
11165440442a0
127baba44794
133b7349296a
141dd3512d56
151115a6d1ea
hex99a370b60

41242004320 has 192 divisors, whose sum is σ = 110347272000. Its totient is φ = 14428610560.

The previous prime is 41242004317. The next prime is 41242004341. The reversal of 41242004320 is 2340024214.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 41242004291 and 41242004300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16178406 + ... + 16180954.

It is an arithmetic number, because the mean of its divisors is an integer number (574725375).

Almost surely, 241242004320 is an apocalyptic number.

41242004320 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 41242004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55173636000).

41242004320 is an abundant number, since it is smaller than the sum of its proper divisors (69105267680).

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

41242004320 is a wasteful number, since it uses less digits than its factorization.

41242004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2913 counting only the distinct ones).

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

Adding to 41242004320 its reverse (2340024214), we get a palindrome (43582028534).

The spelling of 41242004320 in words is "forty-one billion, two hundred forty-two million, four thousand, three hundred twenty".