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113404020401142 = 2341676317663569
BaseRepresentation
bin11001110010001111101110…
…010110100010001111110110
3112212112022121011110222010000
4121302033232112202033312
5104331002413210314032
61041105030542412130
732613112225521042
oct3162175626421766
9485468534428100
10113404020401142
1133152414097139
1210876560b91046
134b37c51354c83
142000ad8d41022
15d19d737a4e7c
hex6723ee5a23f6

113404020401142 has 80 divisors (see below), whose sum is σ = 255671471895840. Its totient is φ = 37568979954432.

The previous prime is 113404020401131. The next prime is 113404020401149. The reversal of 113404020401142 is 241104020404311.

113404020401142 is a `hidden beast` number, since 1 + 1 + 3 + 404 + 0 + 204 + 0 + 11 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113404020401149) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 170568334 + ... + 171231902.

It is an arithmetic number, because the mean of its divisors is an integer number (3195893398698).

Almost surely, 2113404020401142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113404020401142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127835735947920).

113404020401142 is an abundant number, since it is smaller than the sum of its proper divisors (142267451494698).

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

113404020401142 is a wasteful number, since it uses less digits than its factorization.

113404020401142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670067 (or 670058 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 113404020401142 its reverse (241104020404311), we get a palindrome (354508040805453).

The spelling of 113404020401142 in words is "one hundred thirteen trillion, four hundred four billion, twenty million, four hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 167 334 501 1002 1503 3006 4509 6317 9018 12634 13527 18951 27054 37902 56853 113706 170559 341118 511677 663569 1023354 1054939 1327138 1990707 2109878 3164817 3981414 5972121 6329634 9494451 11944242 17916363 18988902 28483353 35832726 53749089 56966706 85450059 107498178 110816023 170900118 221632046 332448069 664896138 997344207 1994688414 2992032621 4191765373 5984065242 8383530746 8976097863 12575296119 17952195726 25150592238 37725888357 75451776714 113177665071 226355330142 339532995213 679065990426 700024817291 1400049634582 2100074451873 4200148903746 6300223355619 12600446711238 18900670066857 37801340133714 56702010200571 113404020401142