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1401344010 = 2335114710039
BaseRepresentation
bin101001110000110…
…1101000000001010
310121122212122121000
41103201231000022
510332221002020
6351015355430
746504141023
oct12341550012
93548778530
101401344010
1165a027550
12331382b76
1319442c451
14d4181c4a
158305d090
hex5386d00a

1401344010 has 128 divisors (see below), whose sum is σ = 4163788800. Its totient is φ = 332458560.

The previous prime is 1401343991. The next prime is 1401344027. The reversal of 1401344010 is 104431041.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134571 + ... + 144609.

It is an arithmetic number, because the mean of its divisors is an integer number (32529600).

Almost surely, 21401344010 is an apocalyptic number.

1401344010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401344010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081894400).

1401344010 is an abundant number, since it is smaller than the sum of its proper divisors (2762444790).

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

1401344010 is a wasteful number, since it uses less digits than its factorization.

1401344010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10113 (or 10107 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1401344010 is about 37434.5296484409. The cubic root of 1401344010 is about 1119.0468107120.

Adding to 1401344010 its reverse (104431041), we get a palindrome (1505775051).

The spelling of 1401344010 in words is "one billion, four hundred one million, three hundred forty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 47 54 55 66 90 94 99 110 135 141 165 198 235 270 282 297 330 423 470 495 517 594 705 846 990 1034 1269 1410 1485 1551 2115 2538 2585 2970 3102 4230 4653 5170 6345 7755 9306 10039 12690 13959 15510 20078 23265 27918 30117 46530 50195 60234 69795 90351 100390 110429 139590 150585 180702 220858 271053 301170 331287 451755 471833 542106 552145 662574 903510 943666 993861 1104290 1355265 1415499 1656435 1987722 2359165 2710530 2830998 2981583 3312870 4246497 4718330 4969305 5190163 5963166 7077495 8492994 9938610 10380326 12739491 14154990 14907915 15570489 21232485 25478982 25950815 29815830 31140978 42464970 46711467 51901630 63697455 77852445 93422934 127394910 140134401 155704890 233557335 280268802 467114670 700672005 1401344010