Search a number
-
+
1130320231344 = 243343152339953
BaseRepresentation
bin10000011100101100010…
…101011111101110110000
311000001112221221002221000
4100130230111133232300
5122004343434400334
62223132325202000
7144443250304323
oct20345425375660
94001487832830
101130320231344
113a6403337627
12163091b60300
1382786602975
143c9ca2707ba
151e607783299
hex1072c55fbb0

1130320231344 has 160 divisors (see below), whose sum is σ = 3322152725760. Its totient is φ = 367760397312.

The previous prime is 1130320231343. The next prime is 1130320231351. The reversal of 1130320231344 is 4431320230311.

It is a happy number.

1130320231344 is a `hidden beast` number, since 1 + 1 + 303 + 2 + 0 + 2 + 313 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1130320231343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28271272 + ... + 28311224.

It is an arithmetic number, because the mean of its divisors is an integer number (20763454536).

Almost surely, 21130320231344 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 1130320231344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661076362880).

1130320231344 is an abundant number, since it is smaller than the sum of its proper divisors (2191832494416).

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

1130320231344 is a wasteful number, since it uses less digits than its factorization.

1130320231344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41536 (or 41524 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1130320231344 its reverse (4431320230311), we get a palindrome (5561640461655).

The spelling of 1130320231344 in words is "one trillion, one hundred thirty billion, three hundred twenty million, two hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 1032 1161 1523 1548 2064 2322 3046 3096 4569 4644 6092 6192 9138 9288 12184 13707 18276 18576 24368 27414 36552 39953 41121 54828 65489 73104 79906 82242 109656 119859 130978 159812 164484 196467 219312 239718 261956 319624 328968 359577 392934 479436 523912 589401 639248 657936 719154 785868 958872 1047824 1078731 1178802 1438308 1571736 1717979 1768203 1917744 2157462 2357604 2876616 3143472 3435958 3536406 4314924 4715208 5153937 5753232 6871916 7072812 8629848 9430416 10307874 13743832 14145624 15461811 17259696 20615748 27487664 28291248 30923622 41231496 46385433 60848419 61847244 82462992 92770866 121696838 123694488 182545257 185541732 243393676 247388976 365090514 371083464 486787352 547635771 730181028 742166928 973574704 1095271542 1460362056 1642907313 2190543084 2616482017 2920724112 3285814626 4381086168 5232964034 6571629252 7849446051 8762172336 10465928068 13143258504 15698892102 20931856136 23548338153 26286517008 31397784204 41863712272 47096676306 62795568408 70645014459 94193352612 125591136816 141290028918 188386705224 282580057836 376773410448 565160115672 1130320231344