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4020413040 = 243257797701
BaseRepresentation
bin1110111110100010…
…1010001001110000
3101101012010010212200
43233220222021300
531213211204130
61502535223200
7201425642550
oct35750521160
911335103780
104020413040
111783466906
12942517b00
134c0c1ab37
142a1d49160
15187e58760
hexefa2a270

4020413040 has 120 divisors (see below), whose sum is σ = 15430747488. Its totient is φ = 918950400.

The previous prime is 4020413039. The next prime is 4020413051. The reversal of 4020413040 is 403140204.

4020413040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393811 + ... + 403890.

Almost surely, 24020413040 is an apocalyptic number.

4020413040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4020413040 is an abundant number, since it is smaller than the sum of its proper divisors (11410334448).

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

4020413040 is a wasteful number, since it uses less digits than its factorization.

4020413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797727 (or 797718 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4020413040 is about 63406.7270879045. The cubic root of 4020413040 is about 1590.0967782555.

Adding to 4020413040 its reverse (403140204), we get a palindrome (4423553244).

The spelling of 4020413040 in words is "four billion, twenty million, four hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 797701 1595402 2393103 3190804 3988505 4786206 5583907 6381608 7179309 7977010 9572412 11167814 11965515 12763216 14358618 15954020 16751721 19144824 22335628 23931030 27919535 28717236 31908040 33503442 35896545 38289648 44671256 47862060 50255163 55839070 57434472 63816080 67006884 71793090 83758605 89342512 95724120 100510326 111678140 114868944 134013768 143586180 167517210 191448240 201020652 223356280 251275815 268027536 287172360 335034420 402041304 446712560 502551630 574344720 670068840 804082608 1005103260 1340137680 2010206520 4020413040