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141125019948 = 223211356376313
BaseRepresentation
bin1000001101101110110…
…1001110100100101100
3111111021020121210222200
42003123231032210230
54303011001114243
6144455410541500
713124131606563
oct2033355164454
9444236553880
10141125019948
115493a4382a0
1223426597890
1310400992c83
146b8ac00bda
153a0e89aad3
hex20dbb4e92c

141125019948 has 36 divisors (see below), whose sum is σ = 389162934888. Its totient is φ = 42765157440.

The previous prime is 141125019943. The next prime is 141125019949. The reversal of 141125019948 is 849910521141.

It is a happy number.

141125019948 is a `hidden beast` number, since 1 + 4 + 1 + 12 + 501 + 99 + 48 = 666.

141125019948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (141125019941) 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 11 ways as a sum of consecutive naturals, for example, 178187761 + ... + 178188552.

Almost surely, 2141125019948 is an apocalyptic number.

141125019948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

141125019948 is an abundant number, since it is smaller than the sum of its proper divisors (248037914940).

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

141125019948 is a wasteful number, since it uses less digits than its factorization.

141125019948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356376334 (or 356376329 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 141125019948 in words is "one hundred forty-one billion, one hundred twenty-five million, nineteen thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 356376313 712752626 1069128939 1425505252 2138257878 3207386817 3920139443 4276515756 6414773634 7840278886 11760418329 12829547268 15680557772 23520836658 35281254987 47041673316 70562509974 141125019948