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4100021040 = 243527761673
BaseRepresentation
bin1111010001100001…
…0101101100110000
3101120201220122112010
43310120111230300
531344101133130
61514501402520
7203413414053
oct36430255460
911521818463
104100021040
11181439a545
12965109440
1350457196b
142ac74ca9a
1518ee310b0
hexf4615b30

4100021040 has 80 divisors (see below), whose sum is σ = 12756156768. Its totient is φ = 1089374208.

The previous prime is 4100021017. The next prime is 4100021047. The reversal of 4100021040 is 401200014.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (4100021047) 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, 35644 + ... + 97316.

Almost surely, 24100021040 is an apocalyptic number.

4100021040 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 4100021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6378078384).

4100021040 is an abundant number, since it is smaller than the sum of its proper divisors (8656135728).

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

4100021040 is a wasteful number, since it uses less digits than its factorization.

4100021040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61966 (or 61960 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4100021040 is about 64031.4066689152. The cubic root of 4100021040 is about 1600.5234016797.

Adding to 4100021040 its reverse (401200014), we get a palindrome (4501221054).

The spelling of 4100021040 in words is "four billion, one hundred million, twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 277 554 831 1108 1385 1662 2216 2770 3324 4155 4432 5540 6648 8310 11080 13296 16620 22160 33240 61673 66480 123346 185019 246692 308365 370038 493384 616730 740076 925095 986768 1233460 1480152 1850190 2466920 2960304 3700380 4933840 7400760 14801520 17083421 34166842 51250263 68333684 85417105 102500526 136667368 170834210 205001052 256251315 273334736 341668420 410002104 512502630 683336840 820004208 1025005260 1366673680 2050010520 4100021040