Search a number
-
+
1124402342112 = 25327858164997
BaseRepresentation
bin10000010111001011100…
…110100010100011100000
310222111021112101012001100
4100113023212202203200
5121410233444421422
62220313204234400
7144143511133050
oct20271346424340
93874245335040
101124402342112
113a3946899885
12161b0009ba00
1382052555c6a
143c5c8317560
151e3ace697ac
hex105cb9a28e0

1124402342112 has 144 divisors (see below), whose sum is σ = 3654789701472. Its totient is φ = 321215431680.

The previous prime is 1124402342101. The next prime is 1124402342113. The reversal of 1124402342112 is 2112432044211.

1124402342112 is a `hidden beast` number, since 1 + 1 + 2 + 440 + 2 + 3 + 4 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124402342113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17266798 + ... + 17331794.

It is an arithmetic number, because the mean of its divisors is an integer number (25380484038).

Almost surely, 21124402342112 is an apocalyptic number.

1124402342112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1124402342112 is an abundant number, since it is smaller than the sum of its proper divisors (2530387359360).

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

1124402342112 is a wasteful number, since it uses less digits than its factorization.

1124402342112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73601 (or 73590 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1124402342112 its reverse (2112432044211), we get a palindrome (3236834386323).

The spelling of 1124402342112 in words is "one trillion, one hundred twenty-four billion, four hundred two million, three hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 8581 17162 25743 34324 51486 60067 64997 68648 77229 102972 120134 129994 137296 154458 180201 194991 205944 240268 259988 274592 308916 360402 389982 411888 454979 480536 519976 540603 584973 617832 720804 779964 823776 909958 961072 1039952 1081206 1169946 1235664 1364937 1441608 1559928 1819916 1922144 2079904 2162412 2339892 2471328 2729874 2883216 3119856 3639832 4094811 4324824 4679784 5459748 5766432 6239712 7279664 8189622 8649648 9359568 10919496 14559328 16379244 17299296 18719136 21838992 32758488 43677984 65516976 131033952 557739257 1115478514 1673217771 2230957028 3346435542 3904174799 4461914056 5019653313 6692871084 7808349598 8923828112 10039306626 11712524397 13385742168 15616699196 17847656224 20078613252 23425048794 26771484336 31233398392 35137573191 40157226504 46850097588 53542968672 62466796784 70275146382 80314453008 93700195176 124933593568 140550292764 160628906016 187400390352 281100585528 374800780704 562201171056 1124402342112