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3012134925840 = 2435231373983041
BaseRepresentation
bin101011110101010001001…
…110110111011000010000
3101122221211212021101020220
4223311101032313120100
5343322323020111330
610223431121033040
7430422340265445
oct53652116673020
911587755241226
103012134925840
11a61491704107
12407931a85780
1318b0739162b1
14a5b067d79cc
1553544c67710
hex2bd513b7610

3012134925840 has 160 divisors (see below), whose sum is σ = 9814725317376. Its totient is φ = 762704363520.

The previous prime is 3012134925829. The next prime is 3012134925841. The reversal of 3012134925840 is 485294312103.

It is a happy number.

3012134925840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30121349258402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3012134925792 and 3012134925801.

It is not an unprimeable number, because it can be changed into a prime (3012134925841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1235281 + ... + 2747760.

Almost surely, 23012134925840 is an apocalyptic number.

3012134925840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3012134925840 is an abundant number, since it is smaller than the sum of its proper divisors (6802590391536).

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

3012134925840 is a wasteful number, since it uses less digits than its factorization.

3012134925840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983217 (or 3983211 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 3012134925840 in words is "three trillion, twelve billion, one hundred thirty-four million, nine hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 137 138 184 230 240 274 276 345 368 411 460 548 552 685 690 822 920 1096 1104 1370 1380 1644 1840 2055 2192 2740 2760 3151 3288 4110 5480 5520 6302 6576 8220 9453 10960 12604 15755 16440 18906 25208 31510 32880 37812 47265 50416 63020 75624 94530 126040 151248 189060 252080 378120 756240 3983041 7966082 11949123 15932164 19915205 23898246 31864328 39830410 47796492 59745615 63728656 79660820 91609943 95592984 119491230 159321640 183219886 191185968 238982460 274829829 318643280 366439772 458049715 477964920 545676617 549659658 732879544 916099430 955929840 1091353234 1099319316 1374149145 1465759088 1637029851 1832198860 2182706468 2198638632 2728383085 2748298290 3274059702 3664397720 4365412936 4397277264 5456766170 5496596580 6548119404 7328795440 8185149255 8730825872 10913532340 10993193160 12550562191 13096238808 16370298510 21827064680 21986386320 25101124382 26192477616 32740597020 37651686573 43654129360 50202248764 62752810955 65481194040 75303373146 100404497528 125505621910 130962388080 150606746292 188258432865 200808995056 251011243820 301213492584 376516865730 502022487640 602426985168 753033731460 1004044975280 1506067462920 3012134925840