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1401150040 = 235371675669
BaseRepresentation
bin101001110000011…
…1101101001011000
310121122111210111221
41103200331221120
510332143300130
6351011301424
746502402353
oct12340755130
93548453457
101401150040
11659a04844
123312aa874
13194392084
14d413129a
158302087a
hex5383da58

1401150040 has 64 divisors (see below), whose sum is σ = 3257755200. Its totient is φ = 541951488.

The previous prime is 1401150001. The next prime is 1401150043. The reversal of 1401150040 is 400511041.

It is a junction number, because it is equal to n+sod(n) for n = 1401149996 and 1401150023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401150043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244326 + ... + 249994.

It is an arithmetic number, because the mean of its divisors is an integer number (50902425).

Almost surely, 21401150040 is an apocalyptic number.

1401150040 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 1401150040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628877600).

1401150040 is an abundant number, since it is smaller than the sum of its proper divisors (1856605160).

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

1401150040 is a wasteful number, since it uses less digits than its factorization.

1401150040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884 (or 5880 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1401150040 is about 37431.9387689176. The cubic root of 1401150040 is about 1118.9951765846.

Adding to 1401150040 its reverse (400511041), we get a palindrome (1801661081).

The spelling of 1401150040 in words is "one billion, four hundred one million, one hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 167 185 296 334 370 668 740 835 1336 1480 1670 3340 5669 6179 6680 11338 12358 22676 24716 28345 30895 45352 49432 56690 61790 113380 123580 209753 226760 247160 419506 839012 946723 1048765 1678024 1893446 2097530 3786892 4195060 4733615 7573784 8390120 9467230 18934460 35028751 37868920 70057502 140115004 175143755 280230008 350287510 700575020 1401150040