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4024032133240 = 235724447461677
BaseRepresentation
bin111010100011101011000…
…000011000000001111000
3112020200201201101120011001
4322203223000120001320
51011412204211230430
612320340450014344
7563504160525400
oct72435300300170
915220651346131
104024032133240
111311645262009
1254ba742773b4
13232606965a12
14dca9ad41800
156ea1abe73ca
hex3a8eb018078

4024032133240 has 96 divisors (see below), whose sum is σ = 10534679406720. Its totient is φ = 1379354925312.

The previous prime is 4024032133207. The next prime is 4024032133259. The reversal of 4024032133240 is 423312304204.

It is a super-2 number, since 2×40240321332402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4024032133199 and 4024032133208.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8485282 + ... + 8946958.

It is an arithmetic number, because the mean of its divisors is an integer number (109736243820).

Almost surely, 24024032133240 is an apocalyptic number.

4024032133240 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 4024032133240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267339703360).

4024032133240 is an abundant number, since it is smaller than the sum of its proper divisors (6510647273480).

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

4024032133240 is a wasteful number, since it uses less digits than its factorization.

4024032133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466149 (or 466138 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4024032133240 its reverse (423312304204), we get a palindrome (4447344437444).

The spelling of 4024032133240 in words is "four trillion, twenty-four billion, thirty-two million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 4447 8894 17788 22235 31129 35576 44470 62258 88940 124516 155645 177880 217903 249032 311290 435806 461677 622580 871612 923354 1089515 1245160 1743224 1846708 2179030 2308385 3231739 3693416 4358060 4616770 6463478 8716120 9233540 12926956 16158695 18467080 22622173 25853912 32317390 45244346 64634780 90488692 113110865 129269560 180977384 226221730 452443460 904886920 2053077619 4106155238 8212310476 10265388095 14371543333 16424620952 20530776190 28743086666 41061552380 57486173332 71857716665 82123104760 100600803331 114972346664 143715433330 201201606662 287430866660 402403213324 503004016655 574861733320 804806426648 1006008033310 2012016066620 4024032133240