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1204141430140 = 2251131308357269
BaseRepresentation
bin10001100001011100011…
…011000001010101111100
311021010002200112120002221
4101201130123001111330
5124212040201231030
62321101441455124
7152665514164255
oct21413433012574
94233080476087
101204141430140
11424745499930
121754546414a4
138971c5c769c
14423d0575b2c
15214c859ae7a
hex1185c6c157c

1204141430140 has 96 divisors (see below), whose sum is σ = 2848538327040. Its totient is φ = 423599942400.

The previous prime is 1204141430137. The next prime is 1204141430143. The reversal of 1204141430140 is 410341414021.

It is an interprime number because it is at equal distance from previous prime (1204141430137) and next prime (1204141430143).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1204141430143) 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 31 ways as a sum of consecutive naturals, for example, 20997426 + ... + 21054694.

It is an arithmetic number, because the mean of its divisors is an integer number (29672274240).

Almost surely, 21204141430140 is an apocalyptic number.

1204141430140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1204141430140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424269163520).

1204141430140 is an abundant number, since it is smaller than the sum of its proper divisors (1644396896900).

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

1204141430140 is a wasteful number, since it uses less digits than its factorization.

1204141430140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60403 (or 60401 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1204141430140 its reverse (410341414021), we get a palindrome (1614482844161).

The spelling of 1204141430140 in words is "one trillion, two hundred four billion, one hundred forty-one million, four hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3083 3410 6166 6820 12332 15415 30830 33913 57269 61660 67826 95573 114538 135652 169565 191146 229076 286345 339130 382292 477865 572690 629959 678260 955730 1051303 1145380 1259918 1775339 1911460 2102606 2519836 3149795 3550678 4205212 5256515 6299590 7101356 8876695 10513030 12599180 17753390 19528729 21026060 35506780 39057458 78114916 97643645 176560327 195287290 353120654 390574580 706241308 882801635 1765603270 1942163597 3531206540 3884327194 5473370137 7768654388 9710817985 10946740274 19421635970 21893480548 27366850685 38843271940 54733701370 60207071507 109467402740 120414143014 240828286028 301035357535 602070715070 1204141430140