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11402221314 = 2311216396353
BaseRepresentation
bin10101001111010000…
…00001011100000010
31002102122021212011010
422213220001130002
5141322432040224
65123233101350
7552362165511
oct124750013402
932378255133
1011402221314
114921290700
1222626b7856
1310c9366023
147a2492678
1546b040e29
hex2a7a01702

11402221314 has 48 divisors (see below), whose sum is σ = 25220081376. Its totient is φ = 3433985280.

The previous prime is 11402221307. The next prime is 11402221339. The reversal of 11402221314 is 41312220411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70162 + ... + 166514.

It is an arithmetic number, because the mean of its divisors is an integer number (525418362).

Almost surely, 211402221314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11402221314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12610040688).

11402221314 is an abundant number, since it is smaller than the sum of its proper divisors (13817860062).

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

11402221314 is a wasteful number, since it uses less digits than its factorization.

11402221314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96543 (or 96532 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11402221314 its reverse (41312220411), we get a palindrome (52714441725).

The spelling of 11402221314 in words is "eleven billion, four hundred two million, two hundred twenty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 163 242 326 363 489 726 978 1793 3586 5379 10758 19723 39446 59169 96353 118338 192706 289059 578118 1059883 2119766 3179649 6359298 11658713 15705539 23317426 31411078 34976139 47116617 69952278 94233234 172760929 345521858 518282787 1036565574 1900370219 3800740438 5701110657 11402221314