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141662661756 = 223711374143637
BaseRepresentation
bin1000001111101111000…
…0001010110001111100
3111112122201021211220020
42003323300022301330
54310111120134011
6145025014252140
713143350520450
oct2037360126174
9445581254806
10141662661756
1155095974570
1223556657050
1310488197415
146bdc394660
153a41b9c006
hex20fbc0ac7c

141662661756 has 96 divisors (see below), whose sum is σ = 423247759872. Its totient is φ = 35801015040.

The previous prime is 141662661727. The next prime is 141662661757. The reversal of 141662661756 is 657166266141.

141662661756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 141662661699 and 141662661708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141662661757) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2037631 + ... + 2106006.

It is an arithmetic number, because the mean of its divisors is an integer number (4408830832).

Almost surely, 2141662661756 is an apocalyptic number.

It is an amenable number.

141662661756 is an abundant number, since it is smaller than the sum of its proper divisors (281585098116).

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

141662661756 is a wasteful number, since it uses less digits than its factorization.

141662661756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143699 (or 4143697 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The spelling of 141662661756 in words is "one hundred forty-one billion, six hundred sixty-two million, six hundred sixty-one thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 37 42 44 66 74 77 84 111 132 148 154 222 231 259 308 407 444 462 518 777 814 924 1036 1221 1554 1628 2442 2849 3108 4884 5698 8547 11396 17094 34188 4143637 8287274 12430911 16574548 24861822 29005459 45580007 49723644 58010918 87016377 91160014 116021836 136740021 153314569 174032754 182320028 273480042 306629138 319060049 348065508 459943707 546960084 613258276 638120098 919887414 957180147 1073201983 1276240196 1686460259 1839774828 1914360294 2146403966 3219605949 3372920518 3828720588 4292807932 5059380777 6439211898 6745841036 10118761554 11805221813 12878423796 20237523108 23610443626 35415665439 47220887252 70831330878 141662661756