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241252413043040 = 2557979872198291
BaseRepresentation
bin110110110110101011110100…
…011000010111000101100000
31011122012111122110122122020122
4312312223310120113011200
5223110134420214334130
62213033454543455412
7101546624460526130
oct6666536430270540
91148174573578218
10241252413043040
116a9636347a8503
1223084400bb7568
13a48000aab5679
144380971610ac0
151cd57e00dc2e5
hexdb6af4617160

241252413043040 has 96 divisors (see below), whose sum is σ = 651388459163904. Its totient is φ = 82714231272960.

The previous prime is 241252413042959. The next prime is 241252413043091. The reversal of 241252413043040 is 40340314252142.

241252413043040 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 (35).

It is a congruent number.

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, 108646295 + ... + 110844585.

It is an arithmetic number, because the mean of its divisors is an integer number (6785296449624).

Almost surely, 2241252413043040 is an apocalyptic number.

241252413043040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241252413043040 is an abundant number, since it is smaller than the sum of its proper divisors (410136046120864).

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

241252413043040 is a wasteful number, since it uses less digits than its factorization.

241252413043040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296300 (or 2296292 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 241252413043040 its reverse (40340314252142), we get a palindrome (281592727295182).

The spelling of 241252413043040 in words is "two hundred forty-one trillion, two hundred fifty-two billion, four hundred thirteen million, forty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 97987 195974 391948 489935 685909 783896 979870 1371818 1567792 1959740 2198291 2743636 3135584 3429545 3919480 4396582 5487272 6859090 7838960 8793164 10974544 10991455 13718180 15388037 15677920 17586328 21949088 21982910 27436360 30776074 35172656 43965820 54872720 61552148 70345312 76940185 87931640 109745440 123104296 153880370 175863280 246208592 307760740 351726560 492417184 615521480 1231042960 2462085920 215403940217 430807880434 861615760868 1077019701085 1507827581519 1723231521736 2154039402170 3015655163038 3446463043472 4308078804340 6031310326076 6892926086944 7539137907595 8616157608680 12062620652152 15078275815190 17232315217360 24125241304304 30156551630380 34464630434720 48250482608608 60313103260760 120626206521520 241252413043040