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2441068416 = 273215114033
BaseRepresentation
bin1001000101111111…
…1011111110000000
320022010022010100100
42101133323332000
514444403142131
61042120322400
7114330511353
oct22137737600
96263263310
102441068416
111042a12916
12581613400
132cb9678a7
141922b029a
15e44897e6
hex917fbf80

2441068416 has 96 divisors (see below), whose sum is σ = 7071451920. Its totient is φ = 808243200.

The previous prime is 2441068411. The next prime is 2441068447. The reversal of 2441068416 is 6148601442.

It is a happy number.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441068411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166936 + ... + 180968.

Almost surely, 22441068416 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 2441068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535725960).

2441068416 is an abundant number, since it is smaller than the sum of its proper divisors (4630383504).

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

2441068416 is a wasteful number, since it uses less digits than its factorization.

2441068416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14204 (or 14189 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2441068416 is about 49407.1696821423. The cubic root of 2441068416 is about 1346.4595692816.

Adding to 2441068416 its reverse (6148601442), we get a palindrome (8589669858).

The spelling of 2441068416 in words is "two billion, four hundred forty-one million, sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 151 192 288 302 384 453 576 604 906 1152 1208 1359 1812 2416 2718 3624 4832 5436 7248 9664 10872 14033 14496 19328 21744 28066 28992 42099 43488 56132 57984 84198 86976 112264 126297 168396 173952 224528 252594 336792 449056 505188 673584 898112 1010376 1347168 1796224 2020752 2118983 2694336 4041504 4237966 5388672 6356949 8083008 8475932 12713898 16166016 16951864 19070847 25427796 33903728 38141694 50855592 67807456 76283388 101711184 135614912 152566776 203422368 271229824 305133552 406844736 610267104 813689472 1220534208 2441068416