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4402640462044 = 22112416127113421
BaseRepresentation
bin100000000010001000111…
…0100100010000011011100
3120120212222120202102220111
41000010101310202003130
51034113101424241134
613210313424255404
7633036351316156
oct100042164420334
916525876672814
104402640462044
111448170845200
125b1317471564
1325c2234a5946
14113136077ad6
15797c95c7c64
hex40111d220dc

4402640462044 has 144 divisors (see below), whose sum is σ = 8850683270016. Its totient is φ = 1913155200000.

The previous prime is 4402640462023. The next prime is 4402640462047.

It is a happy number.

4402640462044 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4402640461988 and 4402640462006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4402640462047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328034454 + ... + 328047874.

It is an arithmetic number, because the mean of its divisors is an integer number (61463078264).

Almost surely, 24402640462044 is an apocalyptic number.

4402640462044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4402640462044 is an abundant number, since it is smaller than the sum of its proper divisors (4448042807972).

4402640462044 is a wasteful number, since it uses less digits than its factorization.

4402640462044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13820 (or 13807 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

It can be divided in two parts, 4402640 and 462044, that added together give a palindrome (4864684).

The spelling of 4402640462044 in words is "four trillion, four hundred two billion, six hundred forty million, four hundred sixty-two thousand, forty-four".

Divisors: 1 2 4 11 22 41 44 61 82 121 122 164 242 244 271 451 484 542 671 902 1084 1342 1804 2501 2684 2981 4961 5002 5962 7381 9922 10004 11111 11924 13421 14762 16531 19844 22222 26842 27511 29524 32791 33062 44444 53684 55022 65582 66124 110044 122221 131164 147631 181841 244442 295262 302621 363682 488884 550261 590524 605242 677771 727364 818681 1100522 1210484 1344431 1355542 1623941 1637362 2000251 2201044 2688862 2711084 3247882 3274724 3637091 4000502 5377724 6052871 6495764 7274182 7455481 8001004 9005491 12105742 14548364 14910962 18010982 24211484 29821924 33565921 36021964 40008001 66581581 67131842 80016002 82010291 99060401 133163162 134263684 149120731 160032004 164020582 198120802 221862551 266326324 298241462 328041164 369225131 396241604 440088011 443725102 596482924 738450262 880176022 887450204 1476900524 1640328041 1760352044 2440488061 3280656082 4061476441 4880976122 6561312164 8122952882 9096364591 9761952244 16245905764 18043608451 18192729182 26845368671 36087216902 36385458364 53690737342 72174433804 100060010501 107381474684 200120021002 400240042004 1100660115511 2201320231022 4402640462044