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141137700741 = 32194740143793
BaseRepresentation
bin1000001101110001110…
…1100110011110000101
3111111022010111001202200
42003130131212132011
54303022222410431
6144500542425113
713124344443042
oct2033435463605
9444263431680
10141137700741
1154946609594
122342a892199
13104034b2abb
146b8c7821c9
153a10a52ee6
hex20dc766785

141137700741 has 48 divisors (see below), whose sum is σ = 219712746240. Its totient is φ = 87023462400.

The previous prime is 141137700709. The next prime is 141137700791. The reversal of 141137700741 is 147007731141.

It is a happy number.

141137700741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 141137700741 - 25 = 141137700709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 141137700696 and 141137700705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141137700701) 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 47 ways as a sum of consecutive naturals, for example, 3200941 + ... + 3244733.

It is an arithmetic number, because the mean of its divisors is an integer number (4577348880).

Almost surely, 2141137700741 is an apocalyptic number.

It is an amenable number.

141137700741 is a deficient number, since it is larger than the sum of its proper divisors (78575045499).

141137700741 is a wasteful number, since it uses less digits than its factorization.

141137700741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44266 (or 44263 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 141137700741 in words is "one hundred forty-one billion, one hundred thirty-seven million, seven hundred thousand, seven hundred forty-one".

Divisors: 1 3 9 19 47 57 141 171 401 423 893 1203 2679 3609 7619 8037 18847 22857 43793 56541 68571 131379 169623 358093 394137 832067 1074279 2058271 2496201 3222837 6174813 7488603 17560993 18524439 39107149 52682979 117321447 158048937 333658867 351964341 825366671 1000976601 2476100013 3002929803 7428300039 15681966749 47045900247 141137700741