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10034101403304 = 23311672521225023
BaseRepresentation
bin1001001000000011111100…
…0011001011111010101000
31022112020202210001000211120
42102000333003023322220
52303344314424401204
633201334052255240
72053640246445216
oct222007703137250
938466683030746
1010034101403304
113219490721060
121160814311520
1357a29a157484
14269920165cb6
15126023b726d9
hex9203f0cbea8

10034101403304 has 128 divisors (see below), whose sum is σ = 27785315450880. Its totient is φ = 2994052723200.

The previous prime is 10034101403279. The next prime is 10034101403327. The reversal of 10034101403304 is 40330410143001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44478937 + ... + 44703959.

It is an arithmetic number, because the mean of its divisors is an integer number (217072776960).

Almost surely, 210034101403304 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 10034101403304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13892657725440).

10034101403304 is an abundant number, since it is smaller than the sum of its proper divisors (17751214047576).

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

10034101403304 is a wasteful number, since it uses less digits than its factorization.

10034101403304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227631 (or 227627 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10034101403304 its reverse (40330410143001), we get a palindrome (50364511546305).

The spelling of 10034101403304 in words is "ten trillion, thirty-four billion, one hundred one million, four hundred three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 402 536 737 804 1474 1608 2211 2521 2948 4422 5042 5896 7563 8844 10084 15126 17688 20168 27731 30252 55462 60504 83193 110924 166386 168907 221848 225023 332772 337814 450046 506721 665544 675069 675628 900092 1013442 1350138 1351256 1800184 1857977 2026884 2475253 2700276 3715954 4053768 4950506 5400552 5573931 7425759 7431908 9901012 11147862 14851518 14863816 15076541 19802024 22295724 29703036 30153082 44591448 45229623 59406072 60306164 90459246 120612328 165841951 180918492 331683902 361836984 497525853 567282983 663367804 995051706 1134565966 1326735608 1701848949 1990103412 2269131932 3403697898 3980206824 4538263864 6240112813 6807395796 12480225626 13614791592 18720338439 24960451252 37440676878 38007959861 49920902504 74881353756 76015919722 114023879583 149762707512 152031839444 228047759166 304063678888 418087558471 456095518332 836175116942 912191036664 1254262675413 1672350233884 2508525350826 3344700467768 5017050701652 10034101403304