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1204413431144 = 237112841168819
BaseRepresentation
bin10001100001101100101…
…000100111110101101000
311021010210122100122100012
4101201230220213311220
5124213114314244034
62321144435431052
7153005326151150
oct21415450476550
94233718318305
101204413431144
11424874a8a250
1217550b755488
1389763a71221
144241873b760
15214e23c8cce
hex1186ca27d68

1204413431144 has 64 divisors (see below), whose sum is σ = 2815651929600. Its totient is φ = 469228651200.

The previous prime is 1204413431141. The next prime is 1204413431201. The reversal of 1204413431144 is 4411343144021.

It is a super-2 number, since 2×12044134311442 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1204413431144.

It is not an unprimeable number, because it can be changed into a prime (1204413431141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17466767 + ... + 17535585.

It is an arithmetic number, because the mean of its divisors is an integer number (43994561400).

Almost surely, 21204413431144 is an apocalyptic number.

1204413431144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1204413431144 is an abundant number, since it is smaller than the sum of its proper divisors (1611238498456).

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

1204413431144 is a wasteful number, since it uses less digits than its factorization.

1204413431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97254 (or 97250 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 1204413431144 its reverse (4411343144021), we get a palindrome (5615756575165).

The spelling of 1204413431144 in words is "one trillion, two hundred four billion, four hundred thirteen million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 28411 56822 68819 113644 137638 198877 227288 275276 312521 397754 481733 550552 625042 757009 795508 963466 1250084 1514018 1591016 1926932 2187647 2500168 3028036 3853864 4375294 5299063 6056072 8750588 10598126 17501176 21196252 42392504 1955216609 3910433218 7820866436 13686516263 15641732872 21507382699 27373032526 43014765398 54746065052 86029530796 109492130104 150551678893 172059061592 301103357786 602206715572 1204413431144