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1004300000028 = 2232133762219323
BaseRepresentation
bin11101001110101001111…
…00011101101100011100
310120000021101122001121100
432213110330131230130
5112423301300000103
62045211414233100
7132362330102163
oct16472474355434
93500241561540
101004300000028
11357a15193626
12142782055790
13739220b8060
14368735703da
151b1cdeea5a3
hexe9d4f1db1c

1004300000028 has 144 divisors (see below), whose sum is σ = 2808570282336. Its totient is φ = 300583042560.

The previous prime is 1004300000027. The next prime is 1004300000071. The reversal of 1004300000028 is 8200000034001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004300000023) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 107718175 + ... + 107727497.

It is an arithmetic number, because the mean of its divisors is an integer number (19503960294).

Almost surely, 21004300000028 is an apocalyptic number.

1004300000028 is a gapful number since it is divisible by the number (18) 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 1004300000028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404285141168).

1004300000028 is an abundant number, since it is smaller than the sum of its proper divisors (1804270282308).

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

1004300000028 is a wasteful number, since it uses less digits than its factorization.

1004300000028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15604 (or 15599 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1004300000028 its reverse (8200000034001), we get a palindrome (9204300034029).

The spelling of 1004300000028 in words is "one trillion, four billion, three hundred million, twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1332 1443 1924 2886 4329 5772 6221 8658 9323 12442 17316 18646 18663 24884 27969 37292 37326 55938 55989 74652 80873 83907 111876 111978 121199 161746 167814 223956 230177 242398 242619 323492 335628 344951 363597 460354 484796 485238 689902 690531 727194 727857 920708 970476 1034853 1090791 1379804 1381062 1454388 1455714 2069706 2071593 2181582 2762124 2911428 2992301 3104559 4139412 4143186 4363164 4484363 5984602 6209118 8286372 8968726 8976903 11969204 12418236 13453089 17937452 17953806 26906178 26930709 35907612 40359267 53812356 53861418 57998383 80718534 107722836 115996766 161437068 173995149 231993532 347990298 521985447 695980596 753978979 1043970894 1507957958 2087941788 2145940171 2261936937 3015915916 4291880342 4523873874 6437820513 6785810811 8583760684 9047747748 12875641026 13571621622 19313461539 25751282052 27143243244 27897222223 38626923078 55794444446 77253846156 83691666669 111588888892 167383333338 251075000007 334766666676 502150000014 1004300000028