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241087707042 = 2371317181143501
BaseRepresentation
bin1110000010000111110…
…0100111011110100010
3212001021211001110112220
43200201330213132202
512422221423111132
6302430522131510
723263243461240
oct3404174473642
9761254043486
10241087707042
11932767a8686
123a883950b96
1319971839c70
14b950d0b790
1564106b4a2c
hex3821f277a2

241087707042 has 128 divisors (see below), whose sum is σ = 631831269888. Its totient is φ = 59512320000.

The previous prime is 241087707031. The next prime is 241087707067. The reversal of 241087707042 is 240707780142.

241087707042 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 241087706985 and 241087707003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1608292 + ... + 1751792.

It is an arithmetic number, because the mean of its divisors is an integer number (4936181796).

Almost surely, 2241087707042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241087707042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315915634944).

241087707042 is an abundant number, since it is smaller than the sum of its proper divisors (390743562846).

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

241087707042 is a wasteful number, since it uses less digits than its factorization.

241087707042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143724.

The product of its (nonzero) digits is 175616, while the sum is 42.

The spelling of 241087707042 in words is "two hundred forty-one billion, eighty-seven million, seven hundred seven thousand, forty-two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 181 182 221 238 273 357 362 442 543 546 663 714 1086 1267 1326 1547 2353 2534 3077 3094 3801 4641 4706 6154 7059 7602 9231 9282 14118 16471 18462 21539 32942 40001 43078 49413 64617 80002 98826 120003 129234 143501 240006 280007 287002 430503 560014 840021 861006 1004507 1680042 1865513 2009014 2439517 3013521 3731026 4879034 5596539 6027042 7318551 11193078 13058591 14637102 17076619 25973681 26117182 31713721 34153238 39175773 51229857 51947362 63427442 77921043 78351546 95141163 102459714 155842086 181815767 190282326 221996047 337657853 363631534 441552577 443992094 545447301 665988141 675315706 883105154 1012973559 1090894602 1324657731 1331976282 2025947118 2363604971 2649315462 3090868039 4727209942 5740183501 6181736078 7090814913 9272604117 11480367002 14181629826 17220550503 18545208234 34441101006 40181284507 80362569014 120543853521 241087707042