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11402052440 = 2354122331177
BaseRepresentation
bin10101001111001110…
…11000001101011000
31002102121222021111112
422213213120031120
5141322411134230
65123225315452
7552360563252
oct124747301530
932377867445
1011402052440
114921185839
122262635b88
1310c93071bc
147a244acd2
1546b00ad95
hex2a79d8358

11402052440 has 64 divisors (see below), whose sum is σ = 26399036160. Its totient is φ = 4429486080.

The previous prime is 11402052397. The next prime is 11402052451. The reversal of 11402052440 is 4425020411.

11402052440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350132 + ... + 381308.

It is an arithmetic number, because the mean of its divisors is an integer number (412484940).

Almost surely, 211402052440 is an apocalyptic number.

11402052440 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 11402052440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199518080).

11402052440 is an abundant number, since it is smaller than the sum of its proper divisors (14996983720).

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

11402052440 is a wasteful number, since it uses less digits than its factorization.

11402052440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31452 (or 31448 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 11402052440 its reverse (4425020411), we get a palindrome (15827072851).

The spelling of 11402052440 in words is "eleven billion, four hundred two million, fifty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 223 328 410 446 820 892 1115 1640 1784 2230 4460 8920 9143 18286 31177 36572 45715 62354 73144 91430 124708 155885 182860 249416 311770 365720 623540 1247080 1278257 2556514 5113028 6391285 6952471 10226056 12782570 13904942 25565140 27809884 34762355 51130280 55619768 69524710 139049420 278098840 285051311 570102622 1140205244 1425256555 2280410488 2850513110 5701026220 11402052440