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1413120412144 = 247311669924373
BaseRepresentation
bin10100100100000100100…
…010100100100111110000
312000002111210100210100101
4110210010202210213300
5141123032311142034
63001102322402144
7204044304213340
oct24440442444760
95002453323311
101413120412144
114a53346a6111
121a9a57200354
13a3344c1825c
144c576d5ad20
1526b59e49514
hex149048a49f0

1413120412144 has 80 divisors (see below), whose sum is σ = 3230315468800. Its totient is φ = 586027664640.

The previous prime is 1413120412097. The next prime is 1413120412147. The reversal of 1413120412144 is 4412140213141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413120412147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57966742 + ... + 57991114.

It is an arithmetic number, because the mean of its divisors is an integer number (40378943360).

Almost surely, 21413120412144 is an apocalyptic number.

1413120412144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1413120412144 is an abundant number, since it is smaller than the sum of its proper divisors (1817195056656).

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

1413120412144 is a wasteful number, since it uses less digits than its factorization.

1413120412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41118 (or 41112 counting only the distinct ones).

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

Adding to 1413120412144 its reverse (4412140213141), we get a palindrome (5825260625285).

The spelling of 1413120412144 in words is "one trillion, four hundred thirteen billion, one hundred twenty million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 16699 24373 33398 48746 66796 97492 116893 133592 170611 194984 233786 267184 341222 389968 467572 517669 682444 755563 935144 1035338 1364888 1511126 1870288 2070676 2729776 3022252 3623683 4141352 5288941 6044504 7247366 8282704 10577882 12089008 14494732 21155764 28989464 42311528 57978928 84623056 407004727 814009454 1628018908 2849033089 3256037816 5698066178 6512075632 11396132356 12617146537 22792264712 25234293074 45584529424 50468586148 88320025759 100937172296 176640051518 201874344592 353280103036 706560206072 1413120412144