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4233240420240 = 2435131674181047
BaseRepresentation
bin111101100110100000110…
…010101001111110010000
3112222200201210200200201010
4331212200302221332100
51023324134021421430
613000420201410520
7614561433604236
oct75464062517620
915880653620633
104233240420240
111392341947557
1258451b799a40
13249267931410
14108c65d76956
15751b278ccb0
hex3d9a0ca9f90

4233240420240 has 160 divisors (see below), whose sum is σ = 14133528896256. Its totient is φ = 1041953310720.

The previous prime is 4233240420221. The next prime is 4233240420271. The reversal of 4233240420240 is 420240423324.

4233240420240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4233240420198 and 4233240420207.

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, 52191397 + ... + 52272443.

Almost surely, 24233240420240 is an apocalyptic number.

4233240420240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4233240420240 is an abundant number, since it is smaller than the sum of its proper divisors (9900288476016).

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

4233240420240 is a wasteful number, since it uses less digits than its factorization.

4233240420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97817 (or 97811 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 4233240420240 its reverse (420240423324), we get a palindrome (4653480843564).

The spelling of 4233240420240 in words is "four trillion, two hundred thirty-three billion, two hundred forty million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 16741 33482 50223 66964 81047 83705 100446 133928 162094 167410 200892 217633 243141 251115 267856 324188 334820 401784 405235 435266 486282 502230 648376 652899 669640 803568 810470 870532 972564 1004460 1053611 1088165 1215705 1296752 1305798 1339280 1620940 1741064 1945128 2008920 2107222 2176330 2431410 2611596 3160833 3241880 3264495 3482128 3890256 4017840 4214444 4352660 4862820 5223192 5268055 6321666 6483760 6528990 8428888 8705320 9725640 10446384 10536110 12643332 13057980 15804165 16857776 17410640 19451280 21072220 25286664 26115960 31608330 42144440 50573328 52231920 63216660 84288880 126433320 252866640 1356807827 2713615654 4070423481 5427231308 6784039135 8140846962 10854462616 13568078270 16281693924 17638501751 20352117405 21708925232 27136156540 32563387848 35277003502 40704234810 52915505253 54272313080 65126775696 70554007004 81408469620 88192508755 105831010506 108544626160 141108014008 162816939240 176385017510 211662021012 264577526265 282216028016 325633878480 352770035020 423324042024 529155052530 705540070040 846648084048 1058310105060 1411080140080 2116620210120 4233240420240