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4142341520 = 245314140739
BaseRepresentation
bin1111011011100111…
…0001110110010000
3101200200112202022022
43312321301312100
531440414412040
61523012431012
7204436215302
oct36671616620
911620482268
104142341520
111836275549
12977318468
1351026b775
142b4207972
151939e06b5
hexf6e71d90

4142341520 has 80 divisors (see below), whose sum is σ = 10184348160. Its totient is φ = 1564339200.

The previous prime is 4142341517. The next prime is 4142341523. The reversal of 4142341520 is 251432414.

It is an interprime number because it is at equal distance from previous prime (4142341517) and next prime (4142341523).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4142341520.

It is not an unprimeable number, because it can be changed into a prime (4142341523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81311 + ... + 122049.

It is an arithmetic number, because the mean of its divisors is an integer number (127304352).

Almost surely, 24142341520 is an apocalyptic number.

4142341520 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 4142341520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5092174080).

4142341520 is an abundant number, since it is smaller than the sum of its proper divisors (6042006640).

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

4142341520 is a wasteful number, since it uses less digits than its factorization.

4142341520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40824 (or 40818 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 4142341520 is about 64361.0248520019. The cubic root of 4142341520 is about 1606.0114379309.

Adding to 4142341520 its reverse (251432414), we get a palindrome (4393773934).

The spelling of 4142341520 in words is "four billion, one hundred forty-two million, three hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 41 62 80 82 124 155 164 205 248 310 328 410 496 620 656 820 1240 1271 1640 2480 2542 3280 5084 6355 10168 12710 20336 25420 40739 50840 81478 101680 162956 203695 325912 407390 651824 814780 1262909 1629560 1670299 2525818 3259120 3340598 5051636 6314545 6681196 8351495 10103272 12629090 13362392 16702990 20206544 25258180 26724784 33405980 50516360 51779269 66811960 101032720 103558538 133623920 207117076 258896345 414234152 517792690 828468304 1035585380 2071170760 4142341520