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4021442104032 = 253213963340639
BaseRepresentation
bin111010100001010000101…
…000001100101011100000
3112020110001012210110000100
4322201100220030223200
51011341403134312112
612315231444422400
7563353040613003
oct72412050145340
915213035713010
104021442104032
111310536257801
1254b4709a7a00
132322b31a4262
14dc8d2d7753a
156e9186362dc
hex3a850a0cae0

4021442104032 has 36 divisors (see below), whose sum is σ = 11435975984160. Its totient is φ = 1340480701248.

The previous prime is 4021442104019. The next prime is 4021442104081. The reversal of 4021442104032 is 2304012441204.

4021442104032 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 44 + 210 + 403 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×40214421040322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4021442103987 and 4021442104005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6981670032 + ... + 6981670607.

It is an arithmetic number, because the mean of its divisors is an integer number (317665999560).

Almost surely, 24021442104032 is an apocalyptic number.

It is an amenable number.

4021442104032 is an abundant number, since it is smaller than the sum of its proper divisors (7414533880128).

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

4021442104032 is a wasteful number, since it uses less digits than its factorization.

4021442104032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13963340655 (or 13963340644 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4021442104032 its reverse (2304012441204), we get a palindrome (6325454545236).

The spelling of 4021442104032 in words is "four trillion, twenty-one billion, four hundred forty-two million, one hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 13963340639 27926681278 41890021917 55853362556 83780043834 111706725112 125670065751 167560087668 223413450224 251340131502 335120175336 446826900448 502680263004 670240350672 1005360526008 1340480701344 2010721052016 4021442104032