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132114140214041 = 191272272933592293
BaseRepresentation
bin11110000010100000111000…
…011001011011001100011001
3122022202222200120210210001202
4132002200320121123030121
5114304024224343322131
61144552221555523545
736553634361055046
oct3602407031331431
9568688616723052
10132114140214041
1139106323a40217
12129987322b95b5
135894404cbb73b
14248a503a441cd
1510418d2d8dbcb
hex78283865b319

132114140214041 has 64 divisors (see below), whose sum is σ = 141715729612800. Its totient is φ = 122809504962816.

The previous prime is 132114140214031. The next prime is 132114140214073. The reversal of 132114140214041 is 140412041411231.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132114140214041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132114140213995 and 132114140214013.

It is not an unprimeable number, because it can be changed into a prime (132114140214031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57616283291 + ... + 57616285583.

It is an arithmetic number, because the mean of its divisors is an integer number (2214308275200).

Almost surely, 2132114140214041 is an apocalyptic number.

It is an amenable number.

132114140214041 is a deficient number, since it is larger than the sum of its proper divisors (9601589398759).

132114140214041 is a wasteful number, since it uses less digits than its factorization.

132114140214041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318.

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 132114140214041 its reverse (140412041411231), we get a palindrome (272526181625272).

The spelling of 132114140214041 in words is "one hundred thirty-two trillion, one hundred fourteen billion, one hundred forty million, two hundred fourteen thousand, forty-one".

Divisors: 1 19 127 227 293 359 2293 2413 4313 5567 6821 28829 37211 43567 45593 66511 81493 105187 291211 520511 547751 671849 707009 823187 866267 1263709 1548367 1998553 5533009 8446897 9889709 10349611 12765131 13358749 15640553 23877449 66104897 85324823 104544749 152509723 160491043 186863449 196642609 241193791 253816231 453671531 1255993043 1621171637 1986350231 2897684737 3032436023 3550405531 4582682029 19368734821 23731658023 30631611457 54750990557 57616284437 368005961599 450901502437 582000617683 1040268820583 6953375800739 132114140214041