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4240031100240 = 2435132089650543
BaseRepresentation
bin111101101100110101100…
…011000010110101010000
3120000100021001112222102210
4331230311203002311100
51023432040430201430
613003502101312120
7615221631461145
oct75546543026520
916010231488383
104240031100240
111395207022991
125858b5a05640
13249aaa768b70
1410930bba63cc
157545da0b2b0
hex3db358c2d50

4240031100240 has 160 divisors (see below), whose sum is σ = 14161978575360. Its totient is φ = 1043198742528.

The previous prime is 4240031100197. The next prime is 4240031100271. The reversal of 4240031100240 is 420011300424.

4240031100240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 6192409 + ... + 6842951.

It is an arithmetic number, because the mean of its divisors is an integer number (88512366096).

Almost surely, 24240031100240 is an apocalyptic number.

4240031100240 is a gapful number since it is divisible by the number (40) 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 4240031100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7080989287680).

4240031100240 is an abundant number, since it is smaller than the sum of its proper divisors (9921947475120).

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

4240031100240 is a wasteful number, since it uses less digits than its factorization.

4240031100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652661 (or 652655 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 4240031100240 its reverse (420011300424), we get a palindrome (4660042400664).

The spelling of 4240031100240 in words is "four trillion, two hundred forty billion, thirty-one million, one hundred 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 2089 3120 4178 6267 8356 10445 12534 16712 20890 25068 27157 31335 33424 41780 50136 54314 62670 81471 83560 100272 108628 125340 135785 162942 167120 217256 250680 271570 325884 407355 434512 501360 543140 650543 651768 814710 1086280 1301086 1303536 1629420 1951629 2172560 2602172 3252715 3258840 3903258 5204344 6505430 6517680 7806516 8457059 9758145 10408688 13010860 15613032 16914118 19516290 25371177 26021720 31226064 33828236 39032580 42285295 50742354 52043440 67656472 78065160 84570590 101484708 126855885 135312944 156130320 169141180 202969416 253711770 338282360 405938832 507423540 676564720 1014847080 1358984327 2029694160 2717968654 4076952981 5435937308 6794921635 8153905962 10871874616 13589843270 16307811924 17666796251 20384764905 21743749232 27179686540 32615623848 35333592502 40769529810 53000388753 54359373080 65231247696 70667185004 81539059620 88333981255 106000777506 108718746160 141334370008 163078119240 176667962510 212001555012 265001943765 282668740016 326156238480 353335925020 424003110024 530003887530 706671850040 848006220048 1060007775060 1413343700080 2120015550120 4240031100240