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4014312332004 = 22321337231826769
BaseRepresentation
bin111010011010100111101…
…010010001101011100100
3112012202122022212111110200
4322122213222101223210
51011232302424111004
612312052152550500
7563011254552432
oct72324752215344
915182568774420
104014312332004
111308507727527
1254a0010b2430
13231718032540
14dc4180b9d52
156e64c736239
hex3a6a7a91ae4

4014312332004 has 72 divisors (see below), whose sum is σ = 11223197589240. Its totient is φ = 1201789965312.

The previous prime is 4014312332003. The next prime is 4014312332029. The reversal of 4014312332004 is 4002332134104.

4014312332004 is a `hidden beast` number, since 4 + 0 + 1 + 431 + 23 + 3 + 200 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1902661596900 + 2111650735104 = 1379370^2 + 1453152^2 .

It is a super-2 number, since 2×40143123320042 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4014312332003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115896069 + ... + 115930700.

It is an arithmetic number, because the mean of its divisors is an integer number (155877744295).

Almost surely, 24014312332004 is an apocalyptic number.

It is an amenable number.

4014312332004 is an abundant number, since it is smaller than the sum of its proper divisors (7208885257236).

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

4014312332004 is a wasteful number, since it uses less digits than its factorization.

4014312332004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231826829 (or 231826824 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4014312332004 its reverse (4002332134104), we get a palindrome (8016644466108).

The spelling of 4014312332004 in words is "four trillion, fourteen billion, three hundred twelve million, three hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1332 1443 1924 2886 4329 5772 8658 17316 231826769 463653538 695480307 927307076 1390960614 2086440921 2781921228 3013747997 4172881842 6027495994 8345763684 8577590453 9041243991 12054991988 17155180906 18082487982 25732771359 27123731973 34310361812 36164975964 51465542718 54247463946 77198314077 102931085436 108494927892 111508675889 154396628154 223017351778 308793256308 334526027667 446034703556 669052055334 1003578083001 1338104110668 2007156166002 4014312332004