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1400310032 = 241119537901
BaseRepresentation
bin101001101110111…
…0000100100010000
310121120221010020112
41103131300210100
510331434410112
6350541300452
746462303352
oct12335604420
93546833215
101400310032
11659490720
12330b64728
13194159924
14d3d930d2
1582e06a22
hex53770910

1400310032 has 80 divisors (see below), whose sum is σ = 3174707520. Its totient is φ = 591552000.

The previous prime is 1400309987. The next prime is 1400310049. The reversal of 1400310032 is 2300130041.

It is a junction number, because it is equal to n+sod(n) for n = 1400309989 and 1400310016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173282 + ... + 181182.

It is an arithmetic number, because the mean of its divisors is an integer number (39683844).

Almost surely, 21400310032 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 1400310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587353760).

1400310032 is an abundant number, since it is smaller than the sum of its proper divisors (1774397488).

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

1400310032 is a wasteful number, since it uses less digits than its factorization.

1400310032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7992 (or 7986 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1400310032 is about 37420.7166152654. The cubic root of 1400310032 is about 1118.7715144079.

Adding to 1400310032 its reverse (2300130041), we get a palindrome (3700440073).

Subtracting 1400310032 from its reverse (2300130041), we obtain a square (899820009 = 299972).

The spelling of 1400310032 in words is "one billion, four hundred million, three hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 11 16 19 22 38 44 53 76 88 106 152 176 209 212 304 418 424 583 836 848 1007 1166 1672 2014 2332 3344 4028 4664 7901 8056 9328 11077 15802 16112 22154 31604 44308 63208 86911 88616 126416 150119 173822 177232 300238 347644 418753 600476 695288 837506 1200952 1390576 1651309 1675012 2401904 3302618 3350024 4606283 6605236 6700048 7956307 9212566 13210472 15912614 18425132 26420944 31825228 36850264 63650456 73700528 87519377 127300912 175038754 350077508 700155016 1400310032