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11374240320 = 263451783311
BaseRepresentation
bin10101001011111010…
…10010001001000000
31002100200122021110000
422211331102021000
5141243301142240
65120353240000
7551602306332
oct124575221100
932320567400
1011374240320
11490750a113
122255263000
1310c361a021
1479c88b452
15468865430
hex2a5f52240

11374240320 has 560 divisors, whose sum is σ = 43495740288. Its totient is φ = 2811248640.

The previous prime is 11374240309. The next prime is 11374240333. The reversal of 11374240320 is 2304247311.

It is a happy number.

It is a super-2 number, since 2×113742403202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36572965 + ... + 36573275.

Almost surely, 211374240320 is an apocalyptic number.

11374240320 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 11374240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21747870144).

11374240320 is an abundant number, since it is smaller than the sum of its proper divisors (32121499968).

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

11374240320 is a wasteful number, since it uses less digits than its factorization.

11374240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 11374240320 its reverse (2304247311), we get a palindrome (13678487631).

The spelling of 11374240320 in words is "eleven billion, three hundred seventy-four million, two hundred forty thousand, three hundred twenty".