Search a number
-
+
1143104414340 = 223577337283249
BaseRepresentation
bin10000101000100110010…
…101010010001010000100
311001021112220121220010010
4100220212111102022010
5122212034212224330
62233045050430220
7145405123130010
oct20504625221204
94037486556103
101143104414340
11400873706519
1216565b432370
1383a4306cba5
143d48009b540
151eb04ca43b0
hex10a26552284

1143104414340 has 96 divisors (see below), whose sum is σ = 3708042912000. Its totient is φ = 257701810176.

The previous prime is 1143104414281. The next prime is 1143104414377. The reversal of 1143104414340 is 434144013411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1143104414298 and 1143104414307.

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, 18610965 + ... + 18672284.

It is an arithmetic number, because the mean of its divisors is an integer number (38625447000).

Almost surely, 21143104414340 is an apocalyptic number.

1143104414340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1143104414340 is an abundant number, since it is smaller than the sum of its proper divisors (2564938497660).

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

1143104414340 is a wasteful number, since it uses less digits than its factorization.

1143104414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37283341 (or 37283339 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 1143104414340 its reverse (434144013411), we get a palindrome (1577248427751).

The spelling of 1143104414340 in words is "one trillion, one hundred forty-three billion, one hundred four million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 73 84 105 140 146 210 219 292 365 420 438 511 730 876 1022 1095 1460 1533 2044 2190 2555 3066 4380 5110 6132 7665 10220 15330 30660 37283249 74566498 111849747 149132996 186416245 223699494 260982743 372832490 447398988 521965486 559248735 745664980 782948229 1043930972 1118497470 1304913715 1565896458 2236994940 2609827430 2721677177 3131792916 3914741145 5219654860 5443354354 7829482290 8165031531 10886708708 13608385885 15658964580 16330063062 19051740239 27216771770 32660126124 38103480478 40825157655 54433543540 57155220717 76206960956 81650315310 95258701195 114310441434 163300630620 190517402390 228620882868 285776103585 381034804780 571552207170 1143104414340