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4115512240 = 245773100673
BaseRepresentation
bin1111010101001101…
…1011101110110000
3101121211001200110021
43311103123232300
531412032342430
61520213413224
7203662163650
oct36523335660
911554050407
104115512240
111822110294
1296a33a214
13507836a58
142b0822360
1519149107a
hexf54dbbb0

4115512240 has 80 divisors (see below), whose sum is σ = 11085415488. Its totient is φ = 1391689728.

The previous prime is 4115512207. The next prime is 4115512243. The reversal of 4115512240 is 422155114.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4115512243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9457 + ... + 91216.

Almost surely, 24115512240 is an apocalyptic number.

4115512240 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 4115512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5542707744).

4115512240 is an abundant number, since it is smaller than the sum of its proper divisors (6969903248).

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

4115512240 is a wasteful number, since it uses less digits than its factorization.

4115512240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100766 (or 100760 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 4115512240 is about 64152.2582611088. The cubic root of 4115512240 is about 1602.5366325593.

Adding to 4115512240 its reverse (422155114), we get a palindrome (4537667354).

The spelling of 4115512240 in words is "four billion, one hundred fifteen million, five hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 73 80 112 140 146 280 292 365 511 560 584 730 1022 1168 1460 2044 2555 2920 4088 5110 5840 8176 10220 20440 40880 100673 201346 402692 503365 704711 805384 1006730 1409422 1610768 2013460 2818844 3523555 4026920 5637688 7047110 7349129 8053840 11275376 14094220 14698258 28188440 29396516 36745645 51443903 56376880 58793032 73491290 102887806 117586064 146982580 205775612 257219515 293965160 411551224 514439030 587930320 823102448 1028878060 2057756120 4115512240