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242121140443040 = 25523992753229127
BaseRepresentation
bin110111000011010100111000…
…100100011001011110100000
31011202021112222120112001002112
4313003110320210121132200
5223213403043423134130
62214540525534534452
7101666450366556545
oct6703247044313640
91152245876461075
10242121140443040
1170168aa9771031
12231a4848067428
13a513c05646121
1443b0a23560bcc
151ced1d6e13495
hexdc35389197a0

242121140443040 has 96 divisors (see below), whose sum is σ = 572459994086400. Its totient is φ = 96772498898944.

The previous prime is 242121140443033. The next prime is 242121140443067. The reversal of 242121140443040 is 40344041121242.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 242121140442988 and 242121140443006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1056596957 + ... + 1056826083.

It is an arithmetic number, because the mean of its divisors is an integer number (5963124938400).

Almost surely, 2242121140443040 is an apocalyptic number.

242121140443040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242121140443040 is an abundant number, since it is smaller than the sum of its proper divisors (330338853643360).

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

242121140443040 is a wasteful number, since it uses less digits than its factorization.

242121140443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234294 (or 234286 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 242121140443040 its reverse (40344041121242), we get a palindrome (282465181564282).

The spelling of 242121140443040 in words is "two hundred forty-two trillion, one hundred twenty-one billion, one hundred forty million, four hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2399 2753 4798 5506 9596 11012 11995 13765 19192 22024 23990 27530 38384 44048 47980 55060 76768 88096 95960 110120 191920 220240 229127 383840 440480 458254 916508 1145635 1833016 2291270 3666032 4582540 6604447 7332064 9165080 13208894 18330160 26417788 33022235 36660320 52835576 66044470 105671152 132088940 211342304 264177880 528355760 549675673 630786631 1056711520 1099351346 1261573262 2198702692 2523146524 2748378365 3153933155 4397405384 5046293048 5496756730 6307866310 8794810768 10092586096 10993513460 12615732620 17589621536 20185172192 21987026920 25231465240 43974053840 50462930480 87948107680 100925860960 1513257127769 3026514255538 6053028511076 7566285638845 12106057022152 15132571277690 24212114044304 30265142555380 48424228088608 60530285110760 121060570221520 242121140443040