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141042822726 = 23137349674987
BaseRepresentation
bin1000001101011011001…
…1101010111001000110
3111111001111221202121010
42003112303222321012
54302323430311401
6144443313103050
713122113132541
oct2032663527106
9444044852533
10141042822726
11548a7aa6303
1223402b57a86
13103b9943770
146b7dd25858
153a07560ed6
hex20d6ceae46

141042822726 has 64 divisors (see below), whose sum is σ = 308069733888. Its totient is φ = 42786102528.

The previous prime is 141042822671. The next prime is 141042822751. The reversal of 141042822726 is 627228240141.

141042822726 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 (39).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 28279605 + ... + 28284591.

It is an arithmetic number, because the mean of its divisors is an integer number (4813589592).

Almost surely, 2141042822726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141042822726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154034866944).

141042822726 is an abundant number, since it is smaller than the sum of its proper divisors (167026911162).

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

141042822726 is a wasteful number, since it uses less digits than its factorization.

141042822726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10045.

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 141042822726 in words is "one hundred forty-one billion, forty-two million, eight hundred twenty-two thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 73 78 146 219 438 949 1898 2847 4967 4987 5694 9934 9974 14901 14961 29802 29922 64571 64831 129142 129662 193713 194493 362591 364051 387426 388986 725182 728102 1087773 1092153 2175546 2184306 4713683 4732663 9427366 9465326 14141049 14197989 24770429 28282098 28395978 49540858 74311287 148622574 322015577 644031154 966046731 1808241317 1932093462 3616482634 5424723951 10849447902 23507137121 47014274242 70521411363 141042822726