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441231912 = 2332111493739
BaseRepresentation
bin11010010011001…
…010101000101000
31010202020220101200
4122103022220220
51400423410122
6111441044200
713635260262
oct3223125050
91122226350
10441231912
11207078080
12103926660
1370549a94
1442858b32
1528b0a5ac
hex1a4caa28

441231912 has 96 divisors (see below), whose sum is σ = 1312740000. Its totient is φ = 132773760.

The previous prime is 441231907. The next prime is 441231949. The reversal of 441231912 is 219132144.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116139 + ... + 119877.

It is an arithmetic number, because the mean of its divisors is an integer number (13674375).

Almost surely, 2441231912 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 441231912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656370000).

441231912 is an abundant number, since it is smaller than the sum of its proper divisors (871508088).

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

441231912 is a wasteful number, since it uses less digits than its factorization.

441231912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911 (or 3904 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 441231912 is about 21005.5209885401. The cubic root of 441231912 is about 761.2996644699.

The spelling of 441231912 in words is "four hundred forty-one million, two hundred thirty-one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 149 198 264 298 396 447 596 792 894 1192 1341 1639 1788 2682 3278 3576 3739 4917 5364 6556 7478 9834 10728 11217 13112 14751 14956 19668 22434 29502 29912 33651 39336 41129 44868 59004 67302 82258 89736 118008 123387 134604 164516 246774 269208 329032 370161 493548 557111 740322 987096 1114222 1480644 1671333 2228444 2961288 3342666 4456888 5013999 6128221 6685332 10027998 12256442 13370664 18384663 20055996 24512884 36769326 40111992 49025768 55153989 73538652 110307978 147077304 220615956 441231912