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40221444304 = 2417232443631
BaseRepresentation
bin100101011101011000…
…101000100011010000
310211211002202001222101
4211131120220203100
51124333142204204
630251045050144
72622503431006
oct453530504320
9124732661871
1040221444304
111606aa58468
1279660b6954
133a3cc074b2
141d37b72a76
1510a6179ea4
hex95d6288d0

40221444304 has 120 divisors (see below), whose sum is σ = 86588332992. Its totient is φ = 18035297280.

The previous prime is 40221444269. The next prime is 40221444311. The reversal of 40221444304 is 40344412204.

It is a congruent number.

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, 63742069 + ... + 63742699.

Almost surely, 240221444304 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 40221444304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43294166496).

40221444304 is an abundant number, since it is smaller than the sum of its proper divisors (46366888688).

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

40221444304 is a wasteful number, since it uses less digits than its factorization.

40221444304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 40221444304 its reverse (40344412204), we get a palindrome (80565856508).

The spelling of 40221444304 in words is "forty billion, two hundred twenty-one million, four hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 443 529 631 782 886 1058 1262 1564 1772 2116 2524 3128 3544 4232 5048 6256 7088 7531 8464 8993 10096 10189 10727 14513 15062 17986 20378 21454 29026 30124 35972 40756 42908 58052 60248 71944 81512 85816 116104 120496 143888 163024 171632 173213 232208 234347 246721 279533 333799 346426 468694 493442 559066 667598 692852 937388 986884 1118132 1335196 1385704 1874776 1973768 2236264 2670392 2771408 3749552 3947536 3983899 4472528 4752061 5340784 5674583 6429259 7967798 9504122 11349166 12858518 15935596 19008244 22698332 25717036 31871192 38016488 45396664 51434072 63742384 76032976 90793328 102868144 109297403 147872957 218594806 295745914 437189612 591491828 874379224 1182983656 1748758448 2365967312 2513840269 5027680538 10055361076 20110722152 40221444304