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1471140144 = 243410111239
BaseRepresentation
bin101011110101111…
…1101000100110000
310210112012122220000
41113223331010300
511003102441034
6401551350000
751312325215
oct12753750460
93715178800
101471140144
11695469401
12350822300
131a5a29236
14dd54db0c
1589248599
hex57afd130

1471140144 has 100 divisors (see below), whose sum is σ = 4300446480. Its totient is φ = 485481600.

The previous prime is 1471140127. The next prime is 1471140149. The reversal of 1471140144 is 4410411741.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1471140149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 125277 + ... + 136515.

Almost surely, 21471140144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1471140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150223240).

1471140144 is an abundant number, since it is smaller than the sum of its proper divisors (2829306336).

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

1471140144 is a wasteful number, since it uses less digits than its factorization.

1471140144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11360 (or 11345 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1471140144 is about 38355.4447764591. Note that the first 3 decimals coincide. The cubic root of 1471140144 is about 1137.3252527760.

Adding to 1471140144 its reverse (4410411741), we get a palindrome (5881551885).

The spelling of 1471140144 in words is "one billion, four hundred seventy-one million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 101 108 144 162 202 216 303 324 404 432 606 648 808 909 1212 1296 1616 1818 2424 2727 3636 4848 5454 7272 8181 10908 11239 14544 16362 21816 22478 32724 33717 43632 44956 65448 67434 89912 101151 130896 134868 179824 202302 269736 303453 404604 539472 606906 809208 910359 1135139 1213812 1618416 1820718 2270278 2427624 3405417 3641436 4540556 4855248 6810834 7282872 9081112 10216251 13621668 14565744 18162224 20432502 27243336 30648753 40865004 54486672 61297506 81730008 91946259 122595012 163460016 183892518 245190024 367785036 490380048 735570072 1471140144