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1124444411412 = 2237149234138377
BaseRepresentation
bin10000010111001110000…
…111000001011000010100
310222111101110112112021120
4100113032013001120110
5121410330232131122
62220321310043540
7144144531540060
oct20271607013024
93874343475246
101124444411412
113a39686130a3
12161b121a95b0
138205b19563a
143c5cdb48aa0
151e3b19c975c
hex105ce1c1614

1124444411412 has 96 divisors (see below), whose sum is σ = 3020010873600. Its totient is φ = 318969031680.

The previous prime is 1124444411393. The next prime is 1124444411429. The reversal of 1124444411412 is 2141144444211.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29280768 + ... + 29319144.

It is an arithmetic number, because the mean of its divisors is an integer number (31458446600).

Almost surely, 21124444411412 is an apocalyptic number.

1124444411412 is a gapful number since it is divisible by the number (12) 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 1124444411412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510005436800).

1124444411412 is an abundant number, since it is smaller than the sum of its proper divisors (1895566462188).

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

1124444411412 is a wasteful number, since it uses less digits than its factorization.

1124444411412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40881 (or 40879 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

Adding to 1124444411412 its reverse (2141144444211), we get a palindrome (3265588855623).

The spelling of 1124444411412 in words is "one trillion, one hundred twenty-four billion, four hundred forty-four million, four hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 298 447 596 894 1043 1788 2086 2341 3129 4172 4682 6258 7023 9364 12516 14046 16387 28092 32774 38377 49161 65548 76754 98322 115131 153508 196644 230262 268639 348809 460524 537278 697618 805917 1046427 1074556 1395236 1611834 2092854 2441663 3223668 4185708 4883326 5718173 7324989 9766652 11436346 14649978 17154519 22872692 29299956 34309038 40027211 68618076 80054422 89840557 120081633 160108844 179681114 240163266 269521671 359362228 480326532 539043342 628883899 1078086684 1257767798 1886651697 2515535596 3773303394 7546606788 13386242993 26772485986 40158728979 53544971972 80317457958 93703700951 160634915916 187407401902 281111102853 374814803804 562222205706 1124444411412