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11400211240 = 2351133776883
BaseRepresentation
bin10101001111000000…
…10110101100101000
31002102111111201211221
422213200112230220
5141321423224430
65123122031424
7552336124315
oct124740265450
932374451757
1011400211240
114920138490
122261aa8574
1310c8b11132
147a20cbd0c
1546ac9557a
hex2a7816b28

11400211240 has 64 divisors (see below), whose sum is σ = 28065735360. Its totient is φ = 4133176320.

The previous prime is 11400211231. The next prime is 11400211241. The reversal of 11400211240 is 4211200411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11400211241) 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, 109839 + ... + 186721.

It is an arithmetic number, because the mean of its divisors is an integer number (438527115).

Almost surely, 211400211240 is an apocalyptic number.

11400211240 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 11400211240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14032867680).

11400211240 is an abundant number, since it is smaller than the sum of its proper divisors (16665524120).

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

11400211240 is a wasteful number, since it uses less digits than its factorization.

11400211240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77242 (or 77238 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11400211240 its reverse (4211200411), we get a palindrome (15611411651).

The spelling of 11400211240 in words is "eleven billion, four hundred million, two hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 337 440 674 1348 1685 2696 3370 3707 6740 7414 13480 14828 18535 29656 37070 74140 76883 148280 153766 307532 384415 615064 768830 845713 1537660 1691426 3075320 3382852 4228565 6765704 8457130 16914260 25909571 33828520 51819142 103638284 129547855 207276568 259095710 285005281 518191420 570010562 1036382840 1140021124 1425026405 2280042248 2850052810 5700105620 11400211240