Search a number
-
+
1140015330032 = 241737416534231
BaseRepresentation
bin10000100101101110001…
…101010111001011110000
311000222120121222011002012
4100211232031113023300
5122134222411030112
62231414340542052
7145235433264215
oct20455615271360
94028517864065
101140015330032
113aa528a2a787
12164b389b1928
1383670097457
143d269b05b0c
151e9c39b5022
hex1096e3572f0

1140015330032 has 160 divisors (see below), whose sum is σ = 2464849989504. Its totient is φ = 508347187200.

The previous prime is 1140015330031. The next prime is 1140015330037. The reversal of 1140015330032 is 2300335100411.

It is a super-2 number, since 2×11400153300322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140015330031) 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, 269441357 + ... + 269445587.

Almost surely, 21140015330032 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 1140015330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232424994752).

1140015330032 is an abundant number, since it is smaller than the sum of its proper divisors (1324834659472).

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

1140015330032 is a wasteful number, since it uses less digits than its factorization.

1140015330032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4987 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The spelling of 1140015330032 in words is "one trillion, one hundred forty billion, fifteen million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 37 41 68 74 82 136 148 164 272 296 328 592 629 653 656 697 1258 1306 1394 1517 2516 2612 2788 3034 4231 5032 5224 5576 6068 8462 10064 10448 11101 11152 12136 16924 22202 24161 24272 25789 26773 33848 44404 48322 51578 53546 67696 71927 88808 96644 103156 107092 143854 156547 173471 177616 193288 206312 214184 287708 313094 346942 386576 410737 412624 428368 455141 575416 626188 693884 821474 910282 990601 1150832 1252376 1387768 1642948 1820564 1981202 2504752 2661299 2762843 2775536 2949007 3285896 3641128 3962404 5322598 5525686 5898014 6418427 6571792 7282256 7924808 10645196 11051372 11796028 12836854 15849616 16840217 21290392 22102744 23592056 25673708 33680434 42580784 44205488 46968331 47184112 51347416 67360868 93936662 102225191 102694832 109113259 113276563 134721736 187873324 204450382 218226518 226553126 269443472 375746648 408900764 436453036 453106252 751493296 817801528 872906072 906212504 1635603056 1737828247 1745812144 1812425008 1925701571 3475656494 3851403142 4191232831 6951312988 7702806284 8382465662 13902625976 15405612568 16764931324 27805251952 30811225136 33529862648 67059725296 71250958127 142501916254 285003832508 570007665016 1140015330032