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4140423840 = 253571232269
BaseRepresentation
bin1111011011001001…
…1101101010100000
3101200112221022202010
43312302131222200
531434422030330
61522503352520
7204414010350
oct36662355240
911615838663
104140423840
111835185793
12976752740
1350ca49947
142b3c68b60
151937623b0
hexf6c9daa0

4140423840 has 96 divisors (see below), whose sum is σ = 14905537920. Its totient is φ = 946381824.

The previous prime is 4140423823. The next prime is 4140423841. The reversal of 4140423840 is 483240414.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 4140423798 and 4140423807.

It is not an unprimeable number, because it can be changed into a prime (4140423841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612775 + ... + 619494.

It is an arithmetic number, because the mean of its divisors is an integer number (155266020).

Almost surely, 24140423840 is an apocalyptic number.

4140423840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140423840 is an abundant number, since it is smaller than the sum of its proper divisors (10765114080).

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

4140423840 is a wasteful number, since it uses less digits than its factorization.

4140423840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232294 (or 1232286 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 4140423840 is about 64346.1252912714. The cubic root of 4140423840 is about 1605.7635675429.

The spelling of 4140423840 in words is "four billion, one hundred forty million, four hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 1232269 2464538 3696807 4929076 6161345 7393614 8625883 9858152 12322690 14787228 17251766 18484035 19716304 24645380 25877649 29574456 34503532 36968070 39432608 43129415 49290760 51755298 59148912 69007064 73936140 86258830 98581520 103510596 118297824 129388245 138014128 147872280 172517660 197163040 207021192 258776490 276028256 295744560 345035320 414042384 517552980 591489120 690070640 828084768 1035105960 1380141280 2070211920 4140423840