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141605067345 = 35716727312957
BaseRepresentation
bin1000001111100001010…
…0011101101001010001
3111112111200220202012220
42003320110131221101
54310001344123340
6145015200011253
713142051132640
oct2037024355121
9445450822186
10141605067345
1155066406a85
122353b300b29
13104792803a1
146bd4881357
153a3bac1ed0
hex20f851da51

141605067345 has 64 divisors (see below), whose sum is σ = 260668993536. Its totient is φ = 64300803840.

The previous prime is 141605067323. The next prime is 141605067349. The reversal of 141605067345 is 543760506141.

It is not a de Polignac number, because 141605067345 - 218 = 141604805201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 141605067297 and 141605067306.

It is not an unprimeable number, because it can be changed into a prime (141605067349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47886607 + ... + 47889563.

It is an arithmetic number, because the mean of its divisors is an integer number (4072953024).

Almost surely, 2141605067345 is an apocalyptic number.

141605067345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141605067345 is a deficient number, since it is larger than the sum of its proper divisors (119063926191).

141605067345 is a wasteful number, since it uses less digits than its factorization.

141605067345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870.

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 141605067345 in words is "one hundred forty-one billion, six hundred five million, sixty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 21 35 105 167 501 835 1169 2505 2731 2957 3507 5845 8193 8871 13655 14785 17535 19117 20699 40965 44355 57351 62097 95585 103495 286755 310485 456077 493819 1368231 1481457 2280385 2469095 3192539 3456733 6841155 7407285 8075567 9577617 10370199 15962695 17283665 24226701 40377835 47888085 51850995 56528969 121133505 169586907 282644845 847934535 1348619689 4045859067 6743098445 9440337823 20229295335 28321013469 47201689115 141605067345