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1400220144 = 243253271677
BaseRepresentation
bin101001101110101…
…1010100111110000
310121120202112221100
41103131122213300
510331424021034
6350535324400
746461450321
oct12335324760
93546675840
101400220144
1165942a134
12330b20700
13194127a3b
14d3d6c448
1582dda099
hex5375a9f0

1400220144 has 120 divisors (see below), whose sum is σ = 4013260992. Its totient is φ = 455569920.

The previous prime is 1400220109. The next prime is 1400220149. The reversal of 1400220144 is 4410220041.

1400220144 is a `hidden beast` number, since 1 + 400 + 220 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400220149) 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 23 ways as a sum of consecutive naturals, for example, 2067934 + ... + 2068610.

Almost surely, 21400220144 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 1400220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006630496).

1400220144 is an abundant number, since it is smaller than the sum of its proper divisors (2613040848).

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

1400220144 is a wasteful number, since it uses less digits than its factorization.

1400220144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1400220144 is about 37419.5155500442. The cubic root of 1400220144 is about 1118.7475753555.

Adding to 1400220144 its reverse (4410220041), we get a palindrome (5810440185).

The spelling of 1400220144 in words is "one billion, four hundred million, two hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 271 318 424 477 542 636 677 813 848 954 1084 1272 1354 1626 1908 2031 2168 2439 2544 2708 3252 3816 4062 4336 4878 5416 6093 6504 7632 8124 9756 10832 12186 13008 14363 16248 19512 24372 28726 32496 35881 39024 43089 48744 57452 71762 86178 97488 107643 114904 129267 143524 172356 183467 215286 229808 258534 287048 322929 344712 366934 430572 517068 550401 574096 645858 689424 733868 861144 1034136 1100802 1291716 1467736 1651203 1722288 2068272 2201604 2583432 2935472 3302406 4403208 5166864 6604812 8806416 9723751 13209624 19447502 26419248 29171253 38895004 58342506 77790008 87513759 116685012 155580016 175027518 233370024 350055036 466740048 700110072 1400220144