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4021442441331 = 376912699102679
BaseRepresentation
bin111010100001010000101…
…001011111000001110011
3112020110001020102120200220
4322201100221133001303
51011341403231110311
612315231455544123
7563353043516250
oct72412051370163
915213036376626
104021442441331
111310536468167
1254b470b2b043
132322b3291943
14dc8d3024427
156e9186a1206
hex3a850a5f073

4021442441331 has 32 divisors (see below), whose sum is σ = 6139113984000. Its totient is φ = 2293769020320.

The previous prime is 4021442441309. The next prime is 4021442441353. The reversal of 4021442441331 is 1331442441204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4021442441309) and next prime (4021442441353).

It is not a de Polignac number, because 4021442441331 - 222 = 4021438247027 is a prime.

It is a super-2 number, since 2×40214424413312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4021442441292 and 4021442441301.

It is not an unprimeable number, because it can be changed into a prime (4021442441371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39113850 + ... + 39216528.

It is an arithmetic number, because the mean of its divisors is an integer number (191847312000).

Almost surely, 24021442441331 is an apocalyptic number.

4021442441331 is a deficient number, since it is larger than the sum of its proper divisors (2117671542669).

4021442441331 is a wasteful number, since it uses less digits than its factorization.

4021442441331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106079.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 4021442441331 its reverse (1331442441204), we get a palindrome (5352884882535).

The spelling of 4021442441331 in words is "four trillion, twenty-one billion, four hundred forty-two million, four hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 21 691 2073 2699 4837 8097 14511 18893 56679 102679 308037 718753 1865009 2156259 5595027 13055063 39165189 70951189 212853567 277130621 496658323 831391863 1489974969 1939914347 5819743041 191497259111 574491777333 1340480813777 4021442441331