Search a number
-
+
1032143140040 = 2351929277169063
BaseRepresentation
bin11110000010100001000…
…01100111010011001000
310122200010211102010022012
433001100201213103020
5113402312120440130
62110054321315052
7134366316635405
oct17012041472310
93580124363265
101032143140040
11368802992841
12148052795a88
137643b67462c
1437d5536b2ac
151bcad5c9995
hexf0508674c8

1032143140040 has 128 divisors (see below), whose sum is σ = 2537988768000. Its totient is φ = 376275207168.

The previous prime is 1032143140033. The next prime is 1032143140099. The reversal of 1032143140040 is 400413412301.

It is a junction number, because it is equal to n+sod(n) for n = 1032143139988 and 1032143140015.

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, 6020549 + ... + 6189611.

It is an arithmetic number, because the mean of its divisors is an integer number (19828037250).

Almost surely, 21032143140040 is an apocalyptic number.

1032143140040 is a gapful number since it is divisible by the number (10) 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 1032143140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268994384000).

1032143140040 is an abundant number, since it is smaller than the sum of its proper divisors (1505845627960).

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

1032143140040 is a wasteful number, since it uses less digits than its factorization.

1032143140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169399 (or 169395 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1032143140040 its reverse (400413412301), we get a palindrome (1432556552341).

The spelling of 1032143140040 in words is "one trillion, thirty-two billion, one hundred forty-three million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 152 190 232 277 290 380 551 554 580 760 1102 1108 1160 1385 2204 2216 2755 2770 4408 5263 5510 5540 8033 10526 11020 11080 16066 21052 22040 26315 32132 40165 42104 52630 64264 80330 105260 152627 160660 169063 210520 305254 321320 338126 610508 676252 763135 845315 1221016 1352504 1526270 1690630 3052540 3212197 3381260 4902827 6105080 6424394 6762520 9805654 12848788 16060985 19611308 24514135 25697576 32121970 39222616 46830451 49028270 64243940 93153713 93660902 98056540 128487880 186307426 187321804 196113080 234152255 372614852 374643608 465768565 468304510 745229704 889778569 931537130 936609020 1358083079 1779557138 1863074260 1873218040 2716166158 3559114276 3726148520 4448892845 5432332316 6790415395 7118228552 8897785690 10864664632 13580830790 17795571380 25803578501 27161661580 35591142760 51607157002 54323323160 103214314004 129017892505 206428628008 258035785010 516071570020 1032143140040