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201440000310 = 235438911315527
BaseRepresentation
bin1011101110011011000…
…0100111100100110110
3201020221200220021120020
42323212300213210312
511300022120002220
6232312410150010
720360604515433
oct2734660474466
9636850807506
10201440000310
11784806a07aa
1233059a22306
1315cc3764673
149a6d446b8a
15538eabb040
hex2ee6c27936

201440000310 has 128 divisors (see below), whose sum is σ = 504717143040. Its totient is φ = 51416150016.

The previous prime is 201440000269. The next prime is 201440000317. The reversal of 201440000310 is 13000044102.

It is a super-2 number, since 2×2014400003102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201440000310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201440000317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12965767 + ... + 12981293.

It is an arithmetic number, because the mean of its divisors is an integer number (3943102680).

Almost surely, 2201440000310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201440000310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252358571520).

201440000310 is an abundant number, since it is smaller than the sum of its proper divisors (303277142730).

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

201440000310 is a wasteful number, since it uses less digits than its factorization.

201440000310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15782.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 201440000310 its reverse (13000044102), we get a palindrome (214440044412).

The spelling of 201440000310 in words is "two hundred one billion, four hundred forty million, three hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 43 86 89 113 129 178 215 226 258 267 339 430 445 534 565 645 678 890 1130 1290 1335 1695 2670 3390 3827 4859 7654 9718 10057 11481 14577 15527 19135 20114 22962 24295 29154 30171 31054 38270 46581 48590 50285 57405 60342 72885 77635 93162 100570 114810 145770 150855 155270 232905 301710 432451 465810 667661 864902 1297353 1335322 1381903 1754551 2002983 2162255 2594706 2763806 3338305 3509102 4005966 4145709 4324510 5263653 6486765 6676610 6909515 8291418 8772755 10014915 10527306 12973530 13819030 17545510 20029830 20728545 26318265 41457090 52636530 59421829 75445693 118843658 150891386 156155039 178265487 226337079 297109145 312310078 356530974 377228465 452674158 468465117 594218290 754456930 780775195 891327435 936930234 1131685395 1561550390 1782654870 2263370790 2342325585 4684651170 6714666677 13429333354 20144000031 33573333385 40288000062 67146666770 100720000155 201440000310