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2041231442304 = 2737193779903
BaseRepresentation
bin11101101101000010111…
…000000000000110000000
321020010202221002010201210
4131231002320000012000
5231420420222123204
64201421225530120
7300321421660455
oct35550270000600
97203687063653
102041231442304
11717754a3073a
1228b730343940
1311a644799702
1470b2081382c
153816cb61389
hex1db42e00180

2041231442304 has 128 divisors (see below), whose sum is σ = 5504324474880. Its totient is φ = 670102917120.

The previous prime is 2041231442303. The next prime is 2041231442339. The reversal of 2041231442304 is 4032441321402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041231442303) 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, 25506417 + ... + 25586319.

It is an arithmetic number, because the mean of its divisors is an integer number (43002534960).

Almost surely, 22041231442304 is an apocalyptic number.

2041231442304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041231442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752162237440).

2041231442304 is an abundant number, since it is smaller than the sum of its proper divisors (3463093032576).

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

2041231442304 is an equidigital number, since it uses as much as digits as its factorization.

2041231442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80928 (or 80916 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2041231442304 its reverse (4032441321402), we get a palindrome (6073672763706).

The spelling of 2041231442304 in words is "two trillion, forty-one billion, two hundred thirty-one million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 852 937 1136 1704 1874 2272 2811 3408 3748 4544 5622 6816 7496 9088 11244 13632 14992 22488 27264 29984 44976 59968 66527 79903 89952 119936 133054 159806 179904 199581 239709 266108 319612 359808 399162 479418 532216 639224 798324 958836 1064432 1278448 1596648 1917672 2128864 2556896 3193296 3835344 4257728 5113792 5673113 6386592 7670688 8515456 10227584 11346226 12773184 15341376 17019339 22692452 25546368 30682752 34038678 45384904 68077356 74869111 90769808 136154712 149738222 181539616 224607333 272309424 299476444 363079232 449214666 544618848 598952888 726158464 898429332 1089237696 1197905776 1796858664 2178475392 2395811552 3593717328 4791623104 5315706881 7187434656 9583246208 10631413762 14374869312 15947120643 21262827524 28749738624 31894241286 42525655048 63788482572 85051310096 127576965144 170102620192 255153930288 340205240384 510307860576 680410480768 1020615721152 2041231442304