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3044324403414 = 234729142964781
BaseRepresentation
bin101100010011001111110…
…111111110100011010110
3101210000221012110021020000
4230103033313332203112
5344334234021402124
610250313205152130
7432642124320030
oct54231767764326
911700835407200
103044324403414
11a740aa840038
124120160bb646
13191103797448
14a74bb940c50
15542cabd06c9
hex2c4cfdfe8d6

3044324403414 has 160 divisors (see below), whose sum is σ = 8070645211200. Its totient is φ = 839212980480.

The previous prime is 3044324403389. The next prime is 3044324403437. The reversal of 3044324403414 is 4143044234403.

3044324403414 is a `hidden beast` number, since 30 + 4 + 43 + 244 + 0 + 341 + 4 = 666.

It is a super-2 number, since 2×30443244034142 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46961704 + ... + 47026484.

It is an arithmetic number, because the mean of its divisors is an integer number (50441532570).

Almost surely, 23044324403414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3044324403414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035322605600).

3044324403414 is an abundant number, since it is smaller than the sum of its proper divisors (5026320807786).

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

3044324403414 is a wasteful number, since it uses less digits than its factorization.

3044324403414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66260 (or 66251 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 3044324403414 its reverse (4143044234403), we get a palindrome (7187368637817).

It can be divided in two parts, 304432 and 4403414, that added together give a triangular number (4707846 = T3068).

The spelling of 3044324403414 in words is "three trillion, forty-four billion, three hundred twenty-four million, four hundred three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 162 174 189 203 261 378 406 522 567 609 783 1134 1218 1429 1566 1827 2349 2858 3654 4287 4698 5481 8574 10003 10962 12861 16443 20006 25722 30009 32886 38583 41441 60018 64781 77166 82882 90027 115749 124323 129562 180054 194343 231498 248646 270081 290087 372969 388686 453467 540162 580174 583029 745938 810243 870261 906934 1118907 1166058 1360401 1620486 1740522 1749087 1878649 2237814 2610783 2720802 3356721 3498174 3757298 4081203 5221566 5247261 5635947 6713442 7832349 8162406 10494522 11271894 12243609 13150543 15664698 16907841 23497047 24487218 26301086 33815682 36730827 39451629 46994094 50723523 73461654 78903258 92572049 101447046 118354887 152170569 185144098 236709774 277716147 304341138 355064661 555432294 648004343 710129322 833148441 1065193983 1296008686 1666296882 1944013029 2130387966 2499445323 2684589421 3888026058 4998890646 5369178842 5832039087 7498335969 8053768263 11664078174 14996671938 16107536526 17496117261 18792125947 24161304789 34992234522 37584251894 48322609578 52488351783 56376377841 72483914367 104976703566 112752755682 144967828734 169129133523 217451743101 338258267046 434903486202 507387400569 1014774801138 1522162201707 3044324403414