Search a number
-
+
2043131425140 = 2235132283771023
BaseRepresentation
bin11101101110110100000…
…111110111000101110100
321020022200100020021012110
4131232310013313011310
5231433313121101030
64202333541051020
7300416462366151
oct35566407670564
97208610207173
102043131425140
1171853a474993
1228bb806b6a70
1311a8882c5500
1470c60cb5228
153822e8691b0
hex1dbb41f7174

2043131425140 has 144 divisors (see below), whose sum is σ = 6196948547328. Its totient is φ = 502740306432.

The previous prime is 2043131425123. The next prime is 2043131425169. The reversal of 2043131425140 is 415241313402.

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 = 2043131425098 and 2043131425107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28731669 + ... + 28802691.

It is an arithmetic number, because the mean of its divisors is an integer number (43034364912).

Almost surely, 22043131425140 is an apocalyptic number.

2043131425140 is a gapful number since it is divisible by the number (20) 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 2043131425140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098474273664).

2043131425140 is an abundant number, since it is smaller than the sum of its proper divisors (4153817122188).

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

2043131425140 is a wasteful number, since it uses less digits than its factorization.

2043131425140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73898 (or 73883 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 2043131425140 its reverse (415241313402), we get a palindrome (2458372738542).

The spelling of 2043131425140 in words is "two trillion, forty-three billion, one hundred thirty-one million, four hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 2837 3380 5070 5674 8511 10140 11348 14185 17022 28370 34044 36881 42555 56740 71023 73762 85110 110643 142046 147524 170220 184405 213069 221286 284092 355115 368810 426138 442572 479453 553215 710230 737620 852276 923299 958906 1065345 1106430 1420460 1438359 1846598 1917812 2130690 2212860 2397265 2769897 2876718 3693196 4261380 4616495 4794530 5539794 5753436 7191795 9232990 9589060 11079588 12002887 13849485 14383590 18465980 24005774 27698970 28767180 36008661 48011548 55397940 60014435 72017322 120028870 144034644 180043305 201492251 240057740 360086610 402984502 604476753 720173220 805969004 1007461255 1208953506 2014922510 2417907012 2619399263 3022383765 4029845020 5238798526 6044767530 7858197789 10477597052 12089535060 13096996315 15716395578 26193992630 31432791156 34052190419 39290988945 52387985260 68104380838 78581977890 102156571257 136208761676 157163955780 170260952095 204313142514 340521904190 408626285028 510782856285 681043808380 1021565712570 2043131425140