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241104141440 = 2751069352409
BaseRepresentation
bin1110000010001011101…
…1010011110010000000
3212001022221222102022022
43200202323103302000
512422240130011230
6302432310301012
723263533250031
oct3404273236200
9761287872268
10241104141440
1193285003028
123a889357768
1319975072466
14b953188a88
156411d5e1e5
hex3822ed3c80

241104141440 has 64 divisors (see below), whose sum is σ = 576930411000. Its totient is φ = 96351166464.

The previous prime is 241104141413. The next prime is 241104141539. The reversal of 241104141440 is 44141401142.

It can be written as a sum of positive squares in 4 ways, for example, as 200037929536 + 41066211904 = 447256^2 + 202648^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 507956 + ... + 860364.

Almost surely, 2241104141440 is an apocalyptic number.

241104141440 is a gapful number since it is divisible by the number (20) 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 241104141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288465205500).

241104141440 is an abundant number, since it is smaller than the sum of its proper divisors (335826269560).

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

241104141440 is a wasteful number, since it uses less digits than its factorization.

241104141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353497 (or 353485 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 241104141440 its reverse (44141401142), we get a palindrome (285245542582).

The spelling of 241104141440 in words is "two hundred forty-one billion, one hundred four million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1069 2138 4276 5345 8552 10690 17104 21380 34208 42760 68416 85520 136832 171040 342080 352409 684160 704818 1409636 1762045 2819272 3524090 5638544 7048180 11277088 14096360 22554176 28192720 45108352 56385440 112770880 225541760 376725221 753450442 1506900884 1883626105 3013801768 3767252210 6027603536 7534504420 12055207072 15069008840 24110414144 30138017680 48220828288 60276035360 120552070720 241104141440