Search a number
-
+
1004014302132 = 223941334326597
BaseRepresentation
bin11101001110000111110…
…10100111001110110100
310112222112111001002202210
432213003322213032310
5112422210130132012
62045123210533420
7132352260520542
oct16470372471664
93488474032683
101004014302132
11357888998566
12142702437270
13738a7b5704a
1436847640d92
151b1b3db423c
hexe9c3ea73b4

1004014302132 has 48 divisors (see below), whose sum is σ = 2345979347712. Its totient is φ = 334203208320.

The previous prime is 1004014302091. The next prime is 1004014302143. The reversal of 1004014302132 is 2312034104001.

It is a junction number, because it is equal to n+sod(n) for n = 1004014302099 and 1004014302108.

It is a congruent number.

It is an unprimeable number.

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, 37735858 + ... + 37762454.

It is an arithmetic number, because the mean of its divisors is an integer number (48874569744).

Almost surely, 21004014302132 is an apocalyptic number.

1004014302132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1004014302132 is an abundant number, since it is smaller than the sum of its proper divisors (1341965045580).

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

1004014302132 is a wasteful number, since it uses less digits than its factorization.

1004014302132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30888 (or 30886 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1004014302132 its reverse (2312034104001), we get a palindrome (3316048406133).

The spelling of 1004014302132 in words is "one trillion, four billion, fourteen million, three hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 941 1882 2823 3343 3764 5646 6686 10029 11292 13372 20058 26597 40116 53194 79791 106388 159582 319164 3145763 6291526 9437289 12583052 18874578 25027777 37749156 50055554 75083331 88913771 100111108 150166662 177827542 266741313 300333324 355655084 533482626 1066965252 83667858511 167335717022 251003575533 334671434044 502007151066 1004014302132