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1204240014431 = 23298921931181
BaseRepresentation
bin10001100001100010010…
…011000101110001011111
311021010100120001011022222
4101201202103011301133
5124212240420430211
62321115322455555
7153001122142106
oct21414223056137
94233316034288
101204240014431
11424796103753
121754816645bb
1389736b6399c
14423dd6b903d
15214d20711db
hex118624c5c5f

1204240014431 has 48 divisors (see below), whose sum is σ = 1322630199360. Its totient is φ = 1093041438720.

The previous prime is 1204240014409. The next prime is 1204240014437. The reversal of 1204240014431 is 1344100424021.

It is a de Polignac number, because none of the positive numbers 2k-1204240014431 is a prime.

It is a super-2 number, since 2×12042400144312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1204240014431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1204240014437) 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 47 ways as a sum of consecutive naturals, for example, 1019677661 + ... + 1019678841.

It is an arithmetic number, because the mean of its divisors is an integer number (27554795820).

Almost surely, 21204240014431 is an apocalyptic number.

1204240014431 is a deficient number, since it is larger than the sum of its proper divisors (118390184929).

1204240014431 is a wasteful number, since it uses less digits than its factorization.

1204240014431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 1204240014431 its reverse (1344100424021), we get a palindrome (2548340438452).

The spelling of 1204240014431 in words is "one trillion, two hundred four billion, two hundred forty million, fourteen thousand, four hundred thirty-one".

Divisors: 1 23 29 89 193 667 1181 2047 2581 4439 5597 7921 17177 27163 34249 59363 105109 128731 182183 227933 229709 395071 498133 787727 1528753 2417507 3048161 5242459 5283307 6610057 9354701 11457059 20286037 35161319 44333837 70107703 152031311 215158123 271286329 466578851 588295073 1019678251 1805457293 6239585567 13530786679 41525517739 52358261497 1204240014431