Search a number
-
+
402440213344 = 25132954416131
BaseRepresentation
bin1011101101100110100…
…11100101001101100000
31102110202202021001101211
411312303103211031200
523043144143311334
6504513430235504
741034562241431
oct5666323451540
91373682231354
10402440213344
11145746010844
1265bb44b5b94
132bc47066970
141569a2cd488
15a705c64a64
hex5db34e5360

402440213344 has 96 divisors (see below), whose sum is σ = 882979302240. Its totient is φ = 179274547200.

The previous prime is 402440213309. The next prime is 402440213387. The reversal of 402440213344 is 443312044204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65637159 + ... + 65643289.

It is an arithmetic number, because the mean of its divisors is an integer number (9197701065).

Almost surely, 2402440213344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402440213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441489651120).

402440213344 is an abundant number, since it is smaller than the sum of its proper divisors (480539088896).

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

402440213344 is a wasteful number, since it uses less digits than its factorization.

402440213344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11624 (or 11616 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 402440213344 its reverse (443312044204), we get a palindrome (845752257548).

The spelling of 402440213344 in words is "four hundred two billion, four hundred forty million, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 5441 6032 6131 10882 12064 12262 21764 24524 43528 49048 70733 79703 87056 98096 141466 157789 159406 174112 177799 196192 282932 315578 318812 355598 565864 631156 637624 711196 1131728 1262312 1275248 1422392 2051257 2263456 2311387 2524624 2550496 2844784 4102514 4622774 5049248 5689568 8205028 9245548 16410056 18491096 32820112 33358771 36982192 65640224 66717542 73964384 133435084 266870168 433664023 533740336 867328046 967404359 1067480672 1734656092 1934808718 3469312184 3869617436 6938624368 7739234872 12576256667 13877248736 15478469744 25152513334 30956939488 50305026668 100610053336 201220106672 402440213344