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1401310240 = 255111994001
BaseRepresentation
bin101001110000110…
…0100110000100000
310121122210221021021
41103201210300200
510332213411430
6351014535224
746503640411
oct12341446040
93548727237
101401310240
1165a004140
12331367514
13194419c75
14d4173808
158305307a
hex53864c20

1401310240 has 96 divisors (see below), whose sum is σ = 3630614400. Its totient is φ = 506880000.

The previous prime is 1401310223. The next prime is 1401310241. The reversal of 1401310240 is 420131041.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1401310241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348240 + ... + 352240.

It is an arithmetic number, because the mean of its divisors is an integer number (37818900).

Almost surely, 21401310240 is an apocalyptic number.

1401310240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815307200).

1401310240 is an abundant number, since it is smaller than the sum of its proper divisors (2229304160).

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

1401310240 is a wasteful number, since it uses less digits than its factorization.

1401310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1401310240 is about 37434.0785915721. The cubic root of 1401310240 is about 1119.0378216001.

Adding to 1401310240 its reverse (420131041), we get a palindrome (1821441281).

The spelling of 1401310240 in words is "one billion, four hundred one million, three hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 199 220 352 398 440 796 880 995 1592 1760 1990 2189 3184 3980 4001 4378 6368 7960 8002 8756 10945 15920 16004 17512 20005 21890 31840 32008 35024 40010 43780 44011 64016 70048 80020 87560 88022 128032 160040 175120 176044 220055 320080 350240 352088 440110 640160 704176 796199 880220 1408352 1592398 1760440 3184796 3520880 3980995 6369592 7041760 7961990 8758189 12739184 15923980 17516378 25478368 31847960 35032756 43790945 63695920 70065512 87581890 127391840 140131024 175163780 280262048 350327560 700655120 1401310240