Search a number
-
+
402686138448 = 243411232942349
BaseRepresentation
bin1011101110000011111…
…01101101100001010000
31102111101220000100020000
411313001331231201100
523044200122412243
6504554053250000
741043636462306
oct5670175554120
91374356010200
10402686138448
11145861910a30
1266062933900
132bc85cb0689
14156c0c28276
15a71c6415d3
hex5dc1f6d850

402686138448 has 400 divisors, whose sum is σ = 1372505904000. Its totient is φ = 112693109760.

The previous prime is 402686138359. The next prime is 402686138467. The reversal of 402686138448 is 844831686204.

It is a happy number.

402686138448 is a `hidden beast` number, since 4 + 0 + 2 + 68 + 6 + 138 + 448 = 666.

It is a super-2 number, since 2×4026861384482 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 402686138394 and 402686138403.

It is a congruent number.

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, 9487578 + ... + 9529926.

It is an arithmetic number, because the mean of its divisors is an integer number (3431264760).

Almost surely, 2402686138448 is an apocalyptic number.

402686138448 is a gapful number since it is divisible by the number (48) 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 402686138448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686252952000).

402686138448 is an abundant number, since it is smaller than the sum of its proper divisors (969819765552).

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

402686138448 is a wasteful number, since it uses less digits than its factorization.

402686138448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42432 (or 42417 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

It can be divided in two parts, 40268 and 6138448, that added together give a palindrome (6178716).

The spelling of 402686138448 in words is "four hundred two billion, six hundred eighty-six million, one hundred thirty-eight thousand, four hundred forty-eight".