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4144211131420 = 2253071355349801
BaseRepresentation
bin111100010011100110001…
…110110111110000011100
3112200011221012101012222201
4330103212032313300130
51020344321022201140
612451454015021244
7605260262254363
oct74234616676034
915604835335881
104144211131420
111358606165108
1256b213b0a824
13240a49c62c69
1410481bd607da
1572c0175949a
hex3c4e63b7c1c

4144211131420 has 48 divisors (see below), whose sum is σ = 8732010960288. Its totient is φ = 1652129740800.

The previous prime is 4144211131399. The next prime is 4144211131429. The reversal of 4144211131420 is 241311124414.

It is a happy number.

It is a super-2 number, since 2×41442111314202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144211131429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83190520 + ... + 83240320.

It is an arithmetic number, because the mean of its divisors is an integer number (181916895006).

Almost surely, 24144211131420 is an apocalyptic number.

It is an amenable number.

4144211131420 is an abundant number, since it is smaller than the sum of its proper divisors (4587799828868).

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

4144211131420 is a wasteful number, since it uses less digits than its factorization.

4144211131420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63670 (or 63668 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 4144211131420 its reverse (241311124414), we get a palindrome (4385522255834).

The spelling of 4144211131420 in words is "four trillion, one hundred forty-four billion, two hundred eleven million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 307 614 1228 1535 3070 6140 13553 27106 49801 54212 67765 99602 135530 199204 249005 271060 498010 996020 4160771 8321542 15288907 16643084 20803855 30577814 41607710 61155628 76444535 83215420 152889070 305778140 674952953 1349905906 2699811812 3374764765 6749529530 13499059060 207210556571 414421113142 828842226284 1036052782855 2072105565710 4144211131420