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110402004416 = 26111289121661
BaseRepresentation
bin110011011010001111…
…0001110010111000000
3101112222002211220202112
41212310132032113000
53302100403120131
6122415030034452
710655602360664
oct1466436162700
9345862756675
10110402004416
1142904064a70
12194914a8a28
13a545890942
1454b474a8a4
152d1255502b
hex19b478e5c0

110402004416 has 56 divisors (see below), whose sum is σ = 239182625520. Its totient is φ = 50143385600.

The previous prime is 110402004413. The next prime is 110402004431. The reversal of 110402004416 is 614400204011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110402004391 and 110402004400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110402004413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 846626 + ... + 968286.

Almost surely, 2110402004416 is an apocalyptic number.

110402004416 is a gapful number since it is divisible by the number (16) 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 110402004416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119591312760).

110402004416 is an abundant number, since it is smaller than the sum of its proper divisors (128780621104).

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

110402004416 is a wasteful number, since it uses less digits than its factorization.

110402004416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122973 (or 122963 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 110402004416 its reverse (614400204011), we get a palindrome (724802208427).

The spelling of 110402004416 in words is "one hundred ten billion, four hundred two million, four thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1289 2578 5156 10312 14179 20624 28358 41248 56716 82496 113432 121661 226864 243322 453728 486644 907456 973288 1338271 1946576 2676542 3893152 5353084 7786304 10706168 21412336 42824672 85649344 156821029 313642058 627284116 1254568232 1725031319 2509136464 3450062638 5018272928 6900125276 10036545856 13800250552 27600501104 55201002208 110402004416