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1400311248 = 243719401547
BaseRepresentation
bin101001101110111…
…0000110111010000
310121120221011220120
41103131300313100
510331434424443
6350541310240
746462310040
oct12335606720
93546834816
101400311248
11659491626
12330b65380
1319415a34b
14d3d93720
1582e07083
hex53770dd0

1400311248 has 160 divisors (see below), whose sum is σ = 4370672640. Its totient is φ = 377395200.

The previous prime is 1400311223. The next prime is 1400311249. The reversal of 1400311248 is 8421130041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400311249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2559711 + ... + 2560257.

It is an arithmetic number, because the mean of its divisors is an integer number (27316704).

Almost surely, 21400311248 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 1400311248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185336320).

1400311248 is an abundant number, since it is smaller than the sum of its proper divisors (2970361392).

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

1400311248 is a wasteful number, since it uses less digits than its factorization.

1400311248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1400311248 is about 37420.7328629464. The cubic root of 1400311248 is about 1118.7718382471.

Adding to 1400311248 its reverse (8421130041), we get a palindrome (9821441289).

The spelling of 1400311248 in words is "one billion, four hundred million, three hundred eleven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 401 456 532 547 798 802 912 1064 1094 1203 1596 1604 1641 2128 2188 2406 2807 3192 3208 3282 3829 4376 4812 5614 6384 6416 6564 7619 7658 8421 8752 9624 10393 11228 11487 13128 15238 15316 16842 19248 20786 22456 22857 22974 26256 30476 30632 31179 33684 41572 44912 45714 45948 53333 60952 61264 62358 67368 72751 83144 91428 91896 106666 121904 124716 134736 145502 159999 166288 182856 183792 213332 218253 219347 249432 291004 319998 365712 426664 436506 438694 498864 582008 639996 658041 853328 873012 877388 1164016 1279992 1316082 1535429 1746024 1754776 2559984 2632164 3070858 3492048 3509552 4167593 4606287 5264328 6141716 8335186 9212574 10528656 12283432 12502779 16670372 18425148 24566864 25005558 29173151 33340744 36850296 50011116 58346302 66681488 73700592 87519453 100022232 116692604 175038906 200044464 233385208 350077812 466770416 700155624 1400311248