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1041143540130 = 2325103769146051
BaseRepresentation
bin11110010011010001111…
…11011010100110100010
310200112101002020211010200
433021220333122212202
5114024230221241010
62114143355210030
7135135336034041
oct17115077324642
93615332224120
101041143540130
11371601427621
12149944a46916
1377244234a65
143856a848558
151c138834cc0
hexf268fda9a2

1041143540130 has 96 divisors (see below), whose sum is σ = 2736827533440. Its totient is φ = 274583347200.

The previous prime is 1041143540117. The next prime is 1041143540149. The reversal of 1041143540130 is 310453411401.

1041143540130 is a `hidden beast` number, since 1 + 0 + 4 + 114 + 3 + 540 + 1 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1041143540094 and 1041143540103.

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, 7055605 + ... + 7201655.

It is an arithmetic number, because the mean of its divisors is an integer number (28508620140).

Almost surely, 21041143540130 is an apocalyptic number.

1041143540130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041143540130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368413766720).

1041143540130 is an abundant number, since it is smaller than the sum of its proper divisors (1695683993310).

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

1041143540130 is a wasteful number, since it uses less digits than its factorization.

1041143540130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146936 (or 146933 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1041143540130 its reverse (310453411401), we get a palindrome (1351596951531).

The spelling of 1041143540130 in words is "one trillion, forty-one billion, one hundred forty-three million, five hundred forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 769 927 1030 1538 1545 1854 2307 3090 3845 4614 4635 6921 7690 9270 11535 13842 23070 34605 69210 79207 146051 158414 237621 292102 396035 438153 475242 712863 730255 792070 876306 1188105 1314459 1425726 1460510 2190765 2376210 2628918 3564315 4381530 6572295 7128630 13144590 15043253 30086506 45129759 75216265 90259518 112313219 135389277 150432530 224626438 225648795 270778554 336939657 451297590 561566095 673879314 676946385 1010818971 1123132190 1353892770 1684698285 2021637942 3369396570 5054094855 10108189710 11568261557 23136523114 34704784671 57841307785 69409569342 104114354013 115682615570 173523923355 208228708026 347047846710 520571770065 1041143540130