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1004300000032 = 257241127123007
BaseRepresentation
bin11101001110101001111…
…00011101101100100000
310120000021101122001121111
432213110330131230200
5112423301300000112
62045211414233104
7132362330102200
oct16472474355440
93500241561544
101004300000032
11357a1519362a
12142782055794
13739220b8064
1436873570400
151b1cdeea5a7
hexe9d4f1db20

1004300000032 has 144 divisors (see below), whose sum is σ = 2374696009728. Its totient is φ = 416606561280.

The previous prime is 1004300000027. The next prime is 1004300000071. The reversal of 1004300000032 is 2300000034001.

It is a junction number, because it is equal to n+sod(n) for n = 1004299999958 and 1004300000021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8103073 + ... + 8226079.

It is an arithmetic number, because the mean of its divisors is an integer number (16490944512).

Almost surely, 21004300000032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004300000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187348004864).

1004300000032 is an abundant number, since it is smaller than the sum of its proper divisors (1370396009696).

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

1004300000032 is a wasteful number, since it uses less digits than its factorization.

1004300000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123199 (or 123184 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 1004300000032 its reverse (2300000034001), we get a palindrome (3304300034033).

The spelling of 1004300000032 in words is "one trillion, four billion, three hundred million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 82 98 112 127 164 196 224 254 287 328 392 508 574 656 784 889 1016 1148 1312 1568 1778 2009 2032 2296 3556 4018 4064 4592 5207 6223 7112 8036 9184 10414 12446 14224 16072 20828 24892 28448 32144 36449 41656 49784 64288 72898 83312 99568 123007 145796 166624 199136 246014 255143 291592 492028 510286 583184 861049 984056 1020572 1166368 1722098 1968112 2041144 3444196 3936224 4082288 5043287 6027343 6888392 8164576 10086574 12054686 13776784 15621889 20173148 24109372 27553568 31243778 35303009 40346296 48218744 62487556 70606018 80692592 96437488 109353223 124975112 141212036 161385184 192874976 218706446 247121063 249950224 282424072 437412892 494242126 499900448 564848144 640497449 765472561 874825784 988484252 1129696288 1280994898 1530945122 1749651568 1976968504 2561989796 3061890244 3499303136 3953937008 4483482143 5123979592 6123780488 7907874016 8966964286 10247959184 12247560976 17933928572 20495918368 24495121952 31384375001 35867857144 62768750002 71735714288 125537500004 143471428576 251075000008 502150000016 1004300000032