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241240245550240 = 2551924788863767
BaseRepresentation
bin110110110110100000011111…
…001001000011110010100000
31011122011100020111100221222011
4312312200133021003302200
5223104440010330101430
62213024123332122304
7101546014113535156
oct6666403711036240
91148140214327864
10241240245550240
116a959460547032
1223081b86166394
13a47bb1c038aa1
1443801396733d6
151cd532bcd422a
hexdb681f243ca0

241240245550240 has 144 divisors (see below), whose sum is σ = 614303142711552. Its totient is φ = 89472305069568.

The previous prime is 241240245550231. The next prime is 241240245550247. The reversal of 241240245550240 is 42055542042142.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 241240245550193 and 241240245550202.

It is not an unprimeable number, because it can be changed into a prime (241240245550247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41717164 + ... + 47146603.

It is an arithmetic number, because the mean of its divisors is an integer number (4265994046608).

Almost surely, 2241240245550240 is an apocalyptic number.

241240245550240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241240245550240 is an abundant number, since it is smaller than the sum of its proper divisors (373062897161312).

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

241240245550240 is a wasteful number, since it uses less digits than its factorization.

241240245550240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88863867 (or 88863840 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 40.

Adding to 241240245550240 its reverse (42055542042142), we get a palindrome (283295787592382).

The spelling of 241240245550240 in words is "two hundred forty-one trillion, two hundred forty billion, two hundred forty-five million, five hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 47 76 80 94 95 152 160 188 190 235 304 361 376 380 470 608 722 752 760 893 940 1444 1504 1520 1786 1805 1880 2888 3040 3572 3610 3760 4465 5776 7144 7220 7520 8930 11552 14288 14440 16967 17860 28576 28880 33934 35720 57760 67868 71440 84835 135736 142880 169670 271472 339340 542944 678680 1357360 2714720 88863767 177727534 355455068 444318835 710910136 888637670 1421820272 1688411573 1777275340 2843640544 3376823146 3554550680 4176597049 6753646292 7109101360 8353194098 8442057865 13507292584 14218202720 16706388196 16884115730 20882985245 27014585168 32079819887 33412776392 33768231460 41765970490 54029170336 64159639774 66825552784 67536462920 79355343931 83531940980 128319279548 133651105568 135072925840 158710687862 160399099435 167063881960 256638559096 270145851680 317421375724 320798198870 334127763920 396776719655 513277118192 634842751448 641596397740 668255527840 793553439310 1026554236384 1269685502896 1283192795480 1507751534689 1587106878620 2539371005792 2566385590960 3015503069378 3174213757240 5132771181920 6031006138756 6348427514480 7538757673445 12062012277512 12696855028960 15077515346890 24124024555024 30155030693780 48248049110048 60310061387560 120620122775120 241240245550240