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4401322342434 = 23229471032716427
BaseRepresentation
bin100000000001100001101…
…0000010011100000100010
3120120202120201111000201200
41000003003100103200202
51034102402004424214
613205534540342030
7632661604430643
oct100030320234042
916522521430650
104401322342434
1114476547a1456
125b1009b44916
1325c073395404
1411304cd9b6ca
157974da08d09
hex400c3413822

4401322342434 has 192 divisors, whose sum is σ = 10211868426240. Its totient is φ = 1367639925120.

The previous prime is 4401322342429. The next prime is 4401322342453. The reversal of 4401322342434 is 4342432231044.

4401322342434 is a `hidden beast` number, since 4 + 4 + 0 + 1 + 3 + 223 + 424 + 3 + 4 = 666.

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, 684814329 + ... + 684820755.

It is an arithmetic number, because the mean of its divisors is an integer number (53186814720).

Almost surely, 24401322342434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4401322342434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105934213120).

4401322342434 is an abundant number, since it is smaller than the sum of its proper divisors (5810546083806).

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

4401322342434 is a wasteful number, since it uses less digits than its factorization.

4401322342434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6885 (or 6882 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4401322342434 its reverse (4342432231044), we get a palindrome (8743754573478).

The spelling of 4401322342434 in words is "four trillion, four hundred one billion, three hundred twenty-two million, three hundred forty-two thousand, four hundred thirty-four".