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12304021434000 = 243535743357073
BaseRepresentation
bin1011001100001100000011…
…0100111010111010010000
31121120020211102001010220120
42303003000310322322100
53103042113441342000
642100220040310240
72406636056402262
oct263030064727220
947506742033816
1012304021434000
113a14119374a7a
121468727a72380
136b3358705c2a
14307736c53b32
151650c868a6a0
hexb30c0d3ae90

12304021434000 has 160 divisors (see below), whose sum is σ = 39675183435264. Its totient is φ = 3280491878400.

The previous prime is 12304021433999. The next prime is 12304021434041. The reversal of 12304021434000 is 43412040321.

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

It is an unprimeable number.

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, 34279464 + ... + 34636536.

Almost surely, 212304021434000 is an apocalyptic number.

12304021434000 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 12304021434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19837591717632).

12304021434000 is an abundant number, since it is smaller than the sum of its proper divisors (27371162001264).

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

12304021434000 is a wasteful number, since it uses less digits than its factorization.

12304021434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362842 (or 362826 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12304021434000 its reverse (43412040321), we get a palindrome (12347433474321).

The spelling of 12304021434000 in words is "twelve trillion, three hundred four billion, twenty-one million, four hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 5743 6000 11486 17229 22972 28715 34458 45944 57430 68916 86145 91888 114860 137832 143575 172290 229720 275664 287150 344580 357073 430725 459440 574300 689160 714146 717875 861450 1071219 1148600 1378320 1428292 1435750 1722900 1785365 2142438 2153625 2297200 2856584 2871500 3445800 3570730 4284876 4307250 5356095 5713168 5743000 6891600 7141460 8569752 8614500 8926825 10712190 11486000 14282920 17139504 17229000 17853650 21424380 26780475 28565840 34458000 35707300 42848760 44634125 53560950 71414600 85697520 89268250 107121900 133902375 142829200 178536500 214243800 267804750 357073000 428487600 535609500 714146000 1071219000 2050670239 2142438000 4101340478 6152010717 8202680956 10253351195 12304021434 16405361912 20506702390 24608042868 30760053585 32810723824 41013404780 49216085736 51266755975 61520107170 82026809560 98432171472 102533511950 123040214340 153800267925 164053619120 205067023900 246080428680 256333779875 307600535850 410134047800 492160857360 512667559750 615201071700 769001339625 820268095600 1025335119500 1230402143400 1538002679250 2050670239000 2460804286800 3076005358500 4101340478000 6152010717000 12304021434000