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4011442431344 = 242113314318329
BaseRepresentation
bin111010010111111100100…
…110011110010101110000
3112012111020022122102212122
4322113330212132111300
51011210413230300334
612310455313013412
7562550166033215
oct72277446362560
915174208572778
104011442431344
1113072747466a7
1254953bb54268
1323137b59ca7a
14dc224c9bb0c
156e5307e032e
hex3a5fc99e570

4011442431344 has 80 divisors (see below), whose sum is σ = 7851712458240. Its totient is φ = 1985328576000.

The previous prime is 4011442431317. The next prime is 4011442431377. The reversal of 4011442431344 is 4431342441104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481619372 + ... + 481627700.

It is an arithmetic number, because the mean of its divisors is an integer number (98146405728).

Almost surely, 24011442431344 is an apocalyptic number.

It is an amenable number.

4011442431344 is a deficient number, since it is larger than the sum of its proper divisors (3840270026896).

4011442431344 is a wasteful number, since it uses less digits than its factorization.

4011442431344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9310 (or 9304 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 4011442431344 its reverse (4431342441104), we get a palindrome (8442784872448).

The spelling of 4011442431344 in words is "four trillion, eleven billion, four hundred forty-two million, four hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 211 331 422 431 662 844 862 1324 1688 1724 2648 3376 3448 5296 6896 8329 16658 33316 66632 69841 90941 133264 139682 142661 181882 279364 285322 363764 558728 570644 727528 1117456 1141288 1455056 1757419 2282576 2756899 3514838 3589799 5513798 7029676 7179598 11027596 14059352 14359196 22055192 28118704 28718392 30101471 44110384 57436784 60202942 120405884 240811768 481623536 581705689 757447589 1163411378 1188223469 1514895178 2326822756 2376446938 3029790356 4653645512 4752893876 6059580712 9307291024 9505787752 12119161424 19011575504 250715151959 501430303918 1002860607836 2005721215672 4011442431344