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402144403440 = 2435132321671459
BaseRepresentation
bin1011101101000011010…
…11001001111111110000
31102110000010122100111110
411312201223021333300
523042042431402230
6504424222113320
741024341013043
oct5664153117760
91373003570443
10402144403440
1114560403944a
1265b3141b840
132bbca9a5110
141566cccac5a
15a6d9cd24b0
hex5da1ac9ff0

402144403440 has 480 divisors, whose sum is σ = 1412824573440. Its totient is φ = 94054017024.

The previous prime is 402144403391. The next prime is 402144403489. The reversal of 402144403440 is 44304441204.

It is an interprime number because it is at equal distance from previous prime (402144403391) and next prime (402144403489).

It is a super-2 number, since 2×4021444034402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 402144403398 and 402144403407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 275629431 + ... + 275630889.

It is an arithmetic number, because the mean of its divisors is an integer number (2943384528).

Almost surely, 2402144403440 is an apocalyptic number.

402144403440 is a gapful number since it is divisible by the number (40) 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 402144403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706412286720).

402144403440 is an abundant number, since it is smaller than the sum of its proper divisors (1010680170000).

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

402144403440 is a wasteful number, since it uses less digits than its factorization.

402144403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 402144403440 its reverse (44304441204), we get a palindrome (446448844644).

The spelling of 402144403440 in words is "four hundred two billion, one hundred forty-four million, four hundred three thousand, four hundred forty".