Search a number
-
+
141272144 = 24131935747
BaseRepresentation
bin10000110101110…
…10010001010000
3100211211100221122
420122322101100
5242131202034
622003541412
73333536066
oct1032722120
9324740848
10141272144
1172820942
123b38a868
13233643b0
1414a96036
15c60862e
hex86ba450

141272144 has 40 divisors (see below), whose sum is σ = 310292640. Its totient is φ = 61769088.

The previous prime is 141272123. The next prime is 141272149. The reversal of 141272144 is 441272141.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141272149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13922 + ... + 21825.

It is an arithmetic number, because the mean of its divisors is an integer number (7757316).

Almost surely, 2141272144 is an apocalyptic number.

It is an amenable number.

141272144 is an abundant number, since it is smaller than the sum of its proper divisors (169020496).

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

141272144 is a wasteful number, since it uses less digits than its factorization.

141272144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35787 (or 35781 counting only the distinct ones).

The product of its digits is 1792, while the sum is 26.

The square root of 141272144 is about 11885.7958925770. The cubic root of 141272144 is about 520.8174322840.

The spelling of 141272144 in words is "one hundred forty-one million, two hundred seventy-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1976 3952 35747 71494 142988 285976 464711 571952 679193 929422 1358386 1858844 2716772 3717688 5433544 7435376 8829509 10867088 17659018 35318036 70636072 141272144