Search a number
-
+
1140410334140 = 225711898320519
BaseRepresentation
bin10000100110000101110…
…000001011101110111100
311001000121011020102211222
4100212011300023232330
5122141030021143030
62231521451132512
7145251300620540
oct20460560135674
94030534212758
101140410334140
113aa7109a3160
12165029144138
1383703b79aac
143d2a6369a20
151e9e84dd3e5
hex10985c0bbbc

1140410334140 has 96 divisors (see below), whose sum is σ = 3019350297600. Its totient is φ = 351458680320.

The previous prime is 1140410334113. The next prime is 1140410334143. The reversal of 1140410334140 is 414330140411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140410334143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4023200 + ... + 4297319.

It is an arithmetic number, because the mean of its divisors is an integer number (31451565600).

Almost surely, 21140410334140 is an apocalyptic number.

1140410334140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140410334140 is an abundant number, since it is smaller than the sum of its proper divisors (1878939963460).

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

1140410334140 is a wasteful number, since it uses less digits than its factorization.

1140410334140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8320635 (or 8320633 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 1140410334140 its reverse (414330140411), we get a palindrome (1554740474551).

The spelling of 1140410334140 in words is "one trillion, one hundred forty billion, four hundred ten million, three hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 89 110 140 154 178 220 308 356 385 445 623 770 890 979 1246 1540 1780 1958 2492 3115 3916 4895 6230 6853 9790 12460 13706 19580 27412 34265 68530 137060 8320519 16641038 33282076 41602595 58243633 83205190 91525709 116487266 166410380 183051418 232974532 291218165 366102836 457628545 582436330 640679963 740526191 915257090 1164872660 1281359926 1481052382 1830514180 2562719852 2962104764 3203399815 3702630955 5183683337 6406799630 7405261910 8145788101 10367366674 12813599260 14810523820 16291576202 20734733348 25918416685 32583152404 40728940505 51836833370 57020516707 81457881010 103673666740 114041033414 162915762020 228082066828 285102583535 570205167070 1140410334140