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140123144 = 2372379661
BaseRepresentation
bin10000101101000…
…01110000001000
3100202122222211002
420112201300020
5241332420034
621523154132
73321012200
oct1026416010
9322588732
10140123144
1172106657
123ab15948
1323051405
1414877400
15c47ce7e
hex85a1c08

140123144 has 48 divisors (see below), whose sum is σ = 313918380. Its totient is φ = 58423680.

The previous prime is 140123143. The next prime is 140123147. The reversal of 140123144 is 441321041.

It can be written as a sum of positive squares in 2 ways, for example, as 136656100 + 3467044 = 11690^2 + 1862^2 .

It is not an unprimeable number, because it can be changed into a prime (140123143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9674 + ... + 19334.

Almost surely, 2140123144 is an apocalyptic number.

140123144 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 140123144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156959190).

140123144 is an abundant number, since it is smaller than the sum of its proper divisors (173795236).

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

140123144 is a wasteful number, since it uses less digits than its factorization.

140123144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9718 (or 9707 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 140123144 is about 11837.3622061674. The cubic root of 140123144 is about 519.4016094961.

Adding to 140123144 its reverse (441321041), we get a palindrome (581444185).

The spelling of 140123144 in words is "one hundred forty million, one hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 392 518 1036 1813 2072 3626 7252 9661 14504 19322 38644 67627 77288 135254 270508 357457 473389 541016 714914 946778 1429828 1893556 2502199 2859656 3787112 5004398 10008796 17515393 20017592 35030786 70061572 140123144