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442005111320 = 23517388372337
BaseRepresentation
bin1100110111010011000…
…11101100001000011000
31120020220002121010010112
412123221203230020120
524220211302030240
6535015423303452
743635204312263
oct6335143541030
91506802533115
10442005111320
111604a93a9233
12717b674ab88
13328b0c375b6
1417570b99cda
15b76e452665
hex66e98ec218

442005111320 has 64 divisors (see below), whose sum is σ = 1001406762720. Its totient is φ = 175578568704.

The previous prime is 442005111287. The next prime is 442005111329. The reversal of 442005111320 is 23111500244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442005111329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6074192 + ... + 6146528.

Almost surely, 2442005111320 is an apocalyptic number.

442005111320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442005111320 is an abundant number, since it is smaller than the sum of its proper divisors (559401651400).

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

442005111320 is a wasteful number, since it uses less digits than its factorization.

442005111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73404 (or 73400 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 442005111320 its reverse (23111500244), we get a palindrome (465116611564).

The spelling of 442005111320 in words is "four hundred forty-two billion, five million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 173 346 692 865 883 1384 1730 1766 3460 3532 4415 6920 7064 8830 17660 35320 72337 144674 152759 289348 305518 361685 578696 611036 723370 763795 1222072 1446740 1527590 2893480 3055180 6110360 12514301 25028602 50057204 62571505 63873571 100114408 125143010 127747142 250286020 255494284 319367855 500572040 510988568 638735710 1277471420 2554942840 11050127783 22100255566 44200511132 55250638915 88401022264 110501277830 221002555660 442005111320