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141404144 = 24731139293
BaseRepresentation
bin10000110110110…
…10011111110000
3100212002002000112
420123122133300
5242144413034
622010440452
73334625660
oct1033323760
9325062015
10141404144
1172901032
123b433128
13233ac4bb
1414acc1a0
15c6327ce
hex86da7f0

141404144 has 80 divisors (see below), whose sum is σ = 326645760. Its totient is φ = 58026240.

The previous prime is 141404083. The next prime is 141404149. The reversal of 141404144 is 441404141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141404149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482462 + ... + 482754.

It is an arithmetic number, because the mean of its divisors is an integer number (4083072).

Almost surely, 2141404144 is an apocalyptic number.

141404144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163322880).

141404144 is an abundant number, since it is smaller than the sum of its proper divisors (185241616).

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

141404144 is a wasteful number, since it uses less digits than its factorization.

141404144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 141404144 is about 11891.3474425735. The cubic root of 141404144 is about 520.9795932930.

Adding to 141404144 its reverse (441404141), we get a palindrome (582808285).

The spelling of 141404144 in words is "one hundred forty-one million, four hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 139 217 248 278 293 434 496 556 586 868 973 1112 1172 1736 1946 2051 2224 2344 3472 3892 4102 4309 4688 7784 8204 8618 9083 15568 16408 17236 18166 30163 32816 34472 36332 40727 60326 63581 68944 72664 81454 120652 127162 145328 162908 241304 254324 285089 325816 482608 508648 570178 651632 1017296 1140356 1262537 2280712 2525074 4561424 5050148 8837759 10100296 17675518 20200592 35351036 70702072 141404144